Abstract

For the first time, the angular non-critical phase-matching (A-NCPM) second-harmonic-generation (SHG) characteristics of a family of monoclinic oxoborate crystals, RECa4O(BO3)3 (RECOB, RE = Tm, Y, Gd, Sm, Nd and La), were comprehensively investigated. For all of the realizable A-NCPM SHG styles, the feature parameters including PM wavelength, angular, wavelength and temperature acceptance bandwidths, have been derived from the theory and verified by the experiments. We discovered that the closer the ion radius between RE3+ and Ca2+, the smaller the birefringence, and the better the A-NCPM SHG properties. As a result, for the Type-I SHG on Y-axis which has the largest effective nonlinear optical coefficient (deff) among the three realizable A-NCPM styles, NdCOB crystal presents the longest PM wavelength (927 nm), the largest angular acceptance bandwidth (Δθ⋅l1/2 = 84.3 mrad·cm1/2, Δϕ⋅l1/2 = 58.8 mrad·cm1/2), and the broadest wavelength acceptance bandwidth (8.7 nm). This discovery will contribute to the design of new NCPM materials, at the same time the parameter formula will be helpful for the theoretical prediction of NCPM performance.

© 2017 Optical Society of America

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2017 (1)

2016 (4)

2015 (7)

S. Hou, F. P. Yu, Y. Q. Liu, S. J. Zhang, Q. M. Lu, S. L. Wang, and X. Zhao, “Crystal growth and characterization of thulium calcium oxyborate high-temperature piezoelectric crystals,” CrystEngComm 17(3), 553–560 (2015).
[Crossref]

L. Cerdán, J. Braborec, I. Garcia-Moreno, A. Costela, and M. G. Londesborough, “A borane laser,” Nat. Commun. 6, 5958 (2015).
[Crossref] [PubMed]

B. Q. Chen, C. Zhang, C. Y. Hu, R. J. Liu, and Z. Y. Li, “High-Efficiency Broadband High-Harmonic Generation from a Single Quasi-Phase-Matching Nonlinear Crystal,” Phys. Rev. Lett. 115(8), 083902 (2015).
[Crossref] [PubMed]

R. Remez and A. Arie, “Super-narrow frequency conversion,” Optica 2(5), 472–475 (2015).
[Crossref]

L. Zhang, F. Zhang, M. Xu, Z. Wang, and X. Sun, “Noncritical phase matching fourth harmonic generation properties of KD(2)PO(4) crystals,” Opt. Express 23(18), 23401–23413 (2015).
[Crossref] [PubMed]

A. Achim, L. Gheorghe, F. Voicu, and G. Stanciu, “Blue light production by type-I non-critical phase matching second-harmonic generation in La(Ca1-xSrx)4B(BO3)3 single crystals,” CrystEngComm 17(22), 4098–4101 (2015).
[Crossref]

Y. Liu, H. Qi, Q. Lu, F. Yu, Z. Wang, X. Xu, X. Zhao, and X. Zhao, “Type-II second-harmonic-generation properties of YCOB and GdCOB single crystals,” Opt. Express 23(3), 2163–2173 (2015).
[Crossref] [PubMed]

2014 (5)

D. Yuan, Z. Gao, S. Zhang, Z. Jia, J. Shu, Y. Li, Z. Wang, and X. Tao, “Linear and nonlinear optical properties of terbium calcium oxyborate single crystals,” Opt. Express 22(22), 27606–27616 (2014).
[Crossref] [PubMed]

Y. Q. Liu, F. P. Yu, H. W. Qi, S. Han, F. Zhang, Z. P. Wang, X. Q. Yu, X. Zhao, and X. G. Xu, “High efficiency angular non-critical phase matching for Ti:sapphire laser realized on LaCa4O(BO3)3 single crystals,” Laser Phys. Lett. 11(9), 095403 (2014).
[Crossref]

Y. Q. Liu, F. P. Yu, Z. P. Wang, X. G. Xu, and X. Zhao, “Anisotropy of nonlinear optical properties in monoclinic crystal TmCa4O(BO3)3,” Opt. Mater. Express 4(9), 1787–1793 (2014).
[Crossref]

Y. Q. Liu, F. P. Yu, Z. P. Wang, S. Hou, L. Yang, X. G. Xu, and X. Zhao, “Bulk growth and nonlinear optical properties of thulium calcium oxyborate single crystals,” CrystEngComm 16(30), 7141–7148 (2014).
[Crossref]

X. Tu, Y. Zheng, K. Xiong, Y. Shi, and E. Shi, “Crystal growth and characterization of 4 in. YCa4O(BO3)3 crystal,” J. Cryst. Growth 401, 160–163 (2014).
[Crossref]

2013 (3)

S. Ji, F. Wang, L. Zhu, X. Xu, Z. Wang, and X. Sun, “Non-critical phase-matching fourth harmonic generation of a 1053-nm laser in an ADP crystal,” Sci. Rep. 3(1), 1605 (2013).
[Crossref] [PubMed]

Y. F. Tu, Y. Q. Zheng, X. N. Tu, K. N. Xiong, and E. W. Shi, “Growth and characterization of SmxY1-xCa4O(BO3)3 single crystals for nonlinear optical applications,” CrystEngComm 15(31), 6244–6248 (2013).
[Crossref]

Y. Q. Liu, L. Wei, F. P. Yu, Z. P. Wang, Y. G. Zhao, S. Han, X. Zhao, and X. G. Xu, “Crystal growth and efficient second-harmonic-generation of the monoclinic LaCa4(BO3)3 crystal,” CrystEngComm 15(30), 6035–6039 (2013).
[Crossref]

2010 (2)

F. P. Yu, S. J. Zhang, X. Zhao, D. R. Yuan, C. M. Wang, and T. R. Shrout, “Characterization of Neodymium Calcium Oxyborate Piezoelectric Crystal with Monoclinic Phase,” Cryst. Growth Des. 10(4), 1871–1877 (2010).
[Crossref]

V. Petrov, M. Ghotbi, O. Kokabee, A. Esteban-Martin, F. Noack, A. Gaydardzhiev, I. Nikolov, P. Tzankov, I. Buchvarov, K. Miyata, A. Majchrowski, I. V. Kityk, F. Rotermund, E. Michalski, and M. Ebrahim-Zadeh, “Femtosecond nonlinear frequency conversion based on BiB3O6,” Laser Photonics Rev. 4(1), 53–98 (2010).
[Crossref]

2008 (1)

2007 (1)

2006 (4)

2005 (2)

2004 (1)

2003 (4)

H. D. Jiang, D. W. Li, K. Q. Zhang, H. Liu, and J. Y. Wang, “Optical and thermal properties of nonlinear optical crystal LaCa4O(BO3)3,” Chem. Phys. Lett. 372(5-6), 788–793 (2003).
[Crossref]

G. Aka and A. Brenier, “Self-frequency conversion in nonlinear laser crystals,” Opt. Mater. 22(2), 89–94 (2003).
[Crossref]

Y. Lu and G. F. Wang, “Growth and spectroscopic properties of Nd3+:LaCa4O(BO3)3 crystals,” J. Cryst. Growth 253(1-4), 270–273 (2003).
[Crossref]

N. Umemura, M. Ando, K. Suzuki, E. Takaoka, K. Kato, M. Yoshimura, Y. Mori, and T. Sasaki, “Temperature insensitive second-harmonic generation at 0.5321 μm in YCa4O(BO3)3,” Jpn. J. Appl. Phys. 42(8), 5040–5042 (2003).
[Crossref]

2001 (6)

J. J. Adams, C. A. Ebbers, K. I. Schaffers, and S. A. Payne, “Nonlinear optical properties of LaCa(4)O(BO(3))(3).,” Opt. Lett. 26(4), 217–219 (2001).
[Crossref] [PubMed]

S. Zhang, Z. Cheng, J. Liu, J. Han, J. Wang, Z. Shao, and H. Chen, “Effect of strontium ion on the growth and second-harmonic generation properties of GdCa4O(BO3)3 crystal,” Chin. Phys. Lett. 18(1), 63–64 (2001).
[Crossref]

Z. Wang, J. Liu, R. Song, X. Xu, X. Sun, H. Jiang, K. Fu, J. Wang, Y. Liu, J. Wei, and Z. Shao, “The second-harmonic-generation properties of GdCa4O(BO3)3 crystal with various phase-matching directions,” Opt. Commun. 187(4-6), 401–405 (2001).
[Crossref]

N. Umemura, H. Nakao, H. Furuya, M. Yoshimura, Y. Mori, T. Sasaki, K. Yoshida, and K. Kato, “90° phase-matching properties of YCa4O(BO3)3 and GdxY1-xCa4O(BO3)3,” Jpn. J. Appl. Phys. 40(2), 596–600 (2001).
[Crossref]

Z. P. Wang, J. H. Liu, R. B. Song, H. D. Jiang, S. J. Zhang, K. Fu, C. Q. Wang, J. Y. Wang, Y. G. Liu, J. Q. Wei, H. C. Chen, and Z. S. Shao, “Anisotropy of nonlinear-optical property of RCOB (R = Gd, Y) crystal,” Chin. Phys. Lett. 18(3), 385–387 (2001).
[Crossref]

Z. P. Wang, X. G. Xu, K. Fu, R. B. Song, J. Y. Wang, J. Q. Wei, Y. G. Liu, and Z. S. Shao, “Non-critical phase matching of GdxY1-xCa4O(BO3)3 (GdxY1-xCOB) crystal,” Solid State Commun. 120(9-10), 397–400 (2001).
[Crossref]

2000 (3)

H. Furuya, H. Nakao, I. Yamada, Y. F. Ruan, Y. K. Yap, M. Yoshimura, Y. Mori, and T. Sasaki, “Alleviation of photoinduced damage in GdxY1-xCa4O(BO3)3 at elevated crystal temperature for noncritically phase-matched 355-nm generation,” Opt. Lett. 25(21), 1588–1590 (2000).
[Crossref] [PubMed]

D. A. Hammons, M. Richardson, B. H. T. Chai, A. K. Chin, and R. Jollay, “Scaling of Longitudinally Diode-Pumped Self-Frequency-Doubling Nd:YCOB Lasers,” IEEE J. Quantum Electron. 36(8), 991–999 (2000).
[Crossref]

S. J. Zhang, H. Yang, Z. X. Cheng, X. S. Liu, and H. C. Chen, “Crystal growth, thermal and optical properties of SmCa4O(BO3)3 crystal,” J. Cryst. Growth 208(1-4), 482–486 (2000).
[Crossref]

1999 (2)

H. Furuya, M. Yoshimura, T. Kobayashi, K. Murase, Y. Mori, and T. Sasaki, “Crystal growth and characterization of GdxY1-xCa4O(BO3)3 crystal,” J. Cryst. Growth 198, 560–563 (1999).
[Crossref]

M. Yoshimura, H. Furuya, T. Kobayashi, K. Murase, Y. Mori, and T. Sasaki, “Noncritically phase-matched frequency conversion in Gd(x)Y(1-x)Ca(4)O(BO(3))(3) crystal,” Opt. Lett. 24(4), 193–195 (1999).
[Crossref] [PubMed]

1997 (2)

M. Iwai, T. Kobayashi, H. Furuya, Y. Mori, and T. Sasaki, “Crystal Growth and Optical Characterization of Rare-Earth (Re) Calcium Oxyborate ReCa4(BO3)3 (Re=Y or Gd) as New Nonlinear Optical Material,” Jpn. J. Appl. Phys. 36(2), L276–L279 (1997).
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G. Aka, A. Kahn-Harari, F. Mougel, D. Vivien, F. Salin, P. Coquelin, P. Colin, D. Pelenc, and J. P. Damelet, “Linear- and nonlinear-optical properties of a new gadolinium calcium oxoborate crystal, Ca4GdO(BO3)3,” J. Opt. Soc. Am. B 14(9), 2238–2247 (1997).
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Achim, A.

A. Achim, L. Gheorghe, F. Voicu, and G. Stanciu, “Blue light production by type-I non-critical phase matching second-harmonic generation in La(Ca1-xSrx)4B(BO3)3 single crystals,” CrystEngComm 17(22), 4098–4101 (2015).
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Adams, J. J.

Aka, G.

A. Kausas, P. Loiseau, G. Aka, Y. Zheng, L. Zheng, and T. Taira, “Temperature stable operation of YCOB crystal for giant-pulse green microlaser,” Opt. Express 25(6), 6431–6439 (2017).
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F. Guo, P. Segonds, B. Ménaert, J. Debray, G. Aka, P. Loiseau, and B. Boulanger, “Dielectric frame, Sellmeier equations, and phase-matching properties of the monoclinic acentric crystal GdCa4O(BO3)3,” Opt. Lett. 41(22), 5290–5293 (2016).
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M. T. Andersen, J. L. Mortensen, S. Germershausen, P. Tidemand-Lichtenberg, P. Buchhave, L. Gheorghe, V. Lupei, P. Loiseau, and G. Aka, “First measurement of the nonlinear coefficient for Gd1-xLuxCa4O(BO3)3 and Gd1-xScxCa4O(BO3)3 crystals,” Opt. Express 15(8), 4893–4901 (2007).
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L. Gheorghe, V. Lupei, P. Loiseau, G. Aka, and T. Taira, “Second-harmonic generations of blue light in nonlinear optical crystals of Gd1−xLuxCa4O(BO3)3 and Gd1−xScxCa4O(BO3)3 through noncritical phase matching,” J. Opt. Soc. Am. B 23(8), 1630–1634 (2006).
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M. V. Pack, D. J. Armstrong, A. V. Smith, G. Aka, B. Ferrand, and D. Pelenc, “Measurement of the χ(2) tensor of GdCa4O(BO3)3 and YCa4O(BO3)3 crystals,” J. Opt. Soc. Am. B 22(2), 417–425 (2005).
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P. Segonds, B. Boulanger, J. P. Fève, B. Ménaert, J. Zaccaro, G. Aka, and D. Pelenc, “Linear and nonlinear optical properties of the monoclinic Ca4YO(BO3)3 crystal,” J. Opt. Soc. Am. B 21(4), 765–769 (2004).
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G. Aka and A. Brenier, “Self-frequency conversion in nonlinear laser crystals,” Opt. Mater. 22(2), 89–94 (2003).
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G. Aka, A. Kahn-Harari, F. Mougel, D. Vivien, F. Salin, P. Coquelin, P. Colin, D. Pelenc, and J. P. Damelet, “Linear- and nonlinear-optical properties of a new gadolinium calcium oxoborate crystal, Ca4GdO(BO3)3,” J. Opt. Soc. Am. B 14(9), 2238–2247 (1997).
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Andersen, M. T.

Ando, M.

N. Umemura, M. Ando, K. Suzuki, E. Takaoka, K. Kato, M. Yoshimura, Y. Mori, and T. Sasaki, “Temperature insensitive second-harmonic generation at 0.5321 μm in YCa4O(BO3)3,” Jpn. J. Appl. Phys. 42(8), 5040–5042 (2003).
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Arie, A.

Armstrong, D. J.

Balembois, F.

Barbet, A.

Blanchot, J.-P.

Boulanger, B.

Braborec, J.

L. Cerdán, J. Braborec, I. Garcia-Moreno, A. Costela, and M. G. Londesborough, “A borane laser,” Nat. Commun. 6, 5958 (2015).
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Brenier, A.

G. Aka and A. Brenier, “Self-frequency conversion in nonlinear laser crystals,” Opt. Mater. 22(2), 89–94 (2003).
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Buchhave, P.

Buchvarov, I.

V. Petrov, M. Ghotbi, O. Kokabee, A. Esteban-Martin, F. Noack, A. Gaydardzhiev, I. Nikolov, P. Tzankov, I. Buchvarov, K. Miyata, A. Majchrowski, I. V. Kityk, F. Rotermund, E. Michalski, and M. Ebrahim-Zadeh, “Femtosecond nonlinear frequency conversion based on BiB3O6,” Laser Photonics Rev. 4(1), 53–98 (2010).
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Cerdán, L.

L. Cerdán, J. Braborec, I. Garcia-Moreno, A. Costela, and M. G. Londesborough, “A borane laser,” Nat. Commun. 6, 5958 (2015).
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Chai, B. H. T.

Y. T. Fei, B. H. T. Chai, C. A. Ebbers, Z. M. Liao, K. I. Schaffers, and P. Thelin, “Large-aperture YCOB crystal growth for frequency conversion in the high average power laser system,” J. Cryst. Growth 290(1), 301–306 (2006).
[Crossref]

D. A. Hammons, M. Richardson, B. H. T. Chai, A. K. Chin, and R. Jollay, “Scaling of Longitudinally Diode-Pumped Self-Frequency-Doubling Nd:YCOB Lasers,” IEEE J. Quantum Electron. 36(8), 991–999 (2000).
[Crossref]

Chai, X. X.

H. W. Qi, Z. P. Wang, F. Wang, X. X. Chai, F. P. Yu, Y. Q. Liu, X. Sun, X. G. Xu, and X. Zhao, “Non-critical phase-matched second-harmonic-generation and third- harmonic-generation of 1053 nm lasers in GdxY1-xCOB crystal,” Opt. Mater. Express 6(5), 1576–1586 (2016).
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H. W. Qi, F. Wang, X. X. Chai, Z. P. Wang, F. P. Yu, Y. Q. Liu, X. Zhao, and X. G. Xu, “Growth and non-critical phase-matching frequency conversion properties of LaxY1-xCOB crystals,” CrystEngComm 18(33), 6205–6212 (2016).
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Chen, B. Q.

B. Q. Chen, C. Zhang, C. Y. Hu, R. J. Liu, and Z. Y. Li, “High-Efficiency Broadband High-Harmonic Generation from a Single Quasi-Phase-Matching Nonlinear Crystal,” Phys. Rev. Lett. 115(8), 083902 (2015).
[Crossref] [PubMed]

Chen, H.

S. Zhang, Z. Cheng, J. Liu, J. Han, J. Wang, Z. Shao, and H. Chen, “Effect of strontium ion on the growth and second-harmonic generation properties of GdCa4O(BO3)3 crystal,” Chin. Phys. Lett. 18(1), 63–64 (2001).
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Chen, H. C.

Z. P. Wang, J. H. Liu, R. B. Song, H. D. Jiang, S. J. Zhang, K. Fu, C. Q. Wang, J. Y. Wang, Y. G. Liu, J. Q. Wei, H. C. Chen, and Z. S. Shao, “Anisotropy of nonlinear-optical property of RCOB (R = Gd, Y) crystal,” Chin. Phys. Lett. 18(3), 385–387 (2001).
[Crossref]

S. J. Zhang, H. Yang, Z. X. Cheng, X. S. Liu, and H. C. Chen, “Crystal growth, thermal and optical properties of SmCa4O(BO3)3 crystal,” J. Cryst. Growth 208(1-4), 482–486 (2000).
[Crossref]

Chénais, S.

Cheng, Z.

S. Zhang, Z. Cheng, J. Liu, J. Han, J. Wang, Z. Shao, and H. Chen, “Effect of strontium ion on the growth and second-harmonic generation properties of GdCa4O(BO3)3 crystal,” Chin. Phys. Lett. 18(1), 63–64 (2001).
[Crossref]

Cheng, Z. X.

S. J. Zhang, H. Yang, Z. X. Cheng, X. S. Liu, and H. C. Chen, “Crystal growth, thermal and optical properties of SmCa4O(BO3)3 crystal,” J. Cryst. Growth 208(1-4), 482–486 (2000).
[Crossref]

Chin, A. K.

D. A. Hammons, M. Richardson, B. H. T. Chai, A. K. Chin, and R. Jollay, “Scaling of Longitudinally Diode-Pumped Self-Frequency-Doubling Nd:YCOB Lasers,” IEEE J. Quantum Electron. 36(8), 991–999 (2000).
[Crossref]

Colin, P.

Coquelin, P.

Costela, A.

L. Cerdán, J. Braborec, I. Garcia-Moreno, A. Costela, and M. G. Londesborough, “A borane laser,” Nat. Commun. 6, 5958 (2015).
[Crossref] [PubMed]

Damelet, J. P.

Debray, J.

Ding, X.

Druon, F.

Ebbers, C. A.

Y. T. Fei, B. H. T. Chai, C. A. Ebbers, Z. M. Liao, K. I. Schaffers, and P. Thelin, “Large-aperture YCOB crystal growth for frequency conversion in the high average power laser system,” J. Cryst. Growth 290(1), 301–306 (2006).
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J. J. Adams, C. A. Ebbers, K. I. Schaffers, and S. A. Payne, “Nonlinear optical properties of LaCa(4)O(BO(3))(3).,” Opt. Lett. 26(4), 217–219 (2001).
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Ebrahim-Zadeh, M.

V. Petrov, M. Ghotbi, O. Kokabee, A. Esteban-Martin, F. Noack, A. Gaydardzhiev, I. Nikolov, P. Tzankov, I. Buchvarov, K. Miyata, A. Majchrowski, I. V. Kityk, F. Rotermund, E. Michalski, and M. Ebrahim-Zadeh, “Femtosecond nonlinear frequency conversion based on BiB3O6,” Laser Photonics Rev. 4(1), 53–98 (2010).
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Esteban-Martin, A.

V. Petrov, M. Ghotbi, O. Kokabee, A. Esteban-Martin, F. Noack, A. Gaydardzhiev, I. Nikolov, P. Tzankov, I. Buchvarov, K. Miyata, A. Majchrowski, I. V. Kityk, F. Rotermund, E. Michalski, and M. Ebrahim-Zadeh, “Femtosecond nonlinear frequency conversion based on BiB3O6,” Laser Photonics Rev. 4(1), 53–98 (2010).
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Fei, Y. T.

Y. T. Fei, B. H. T. Chai, C. A. Ebbers, Z. M. Liao, K. I. Schaffers, and P. Thelin, “Large-aperture YCOB crystal growth for frequency conversion in the high average power laser system,” J. Cryst. Growth 290(1), 301–306 (2006).
[Crossref]

Ferrand, B.

Fève, J. P.

Forget, S.

Fu, K.

Z. P. Wang, X. G. Xu, K. Fu, R. B. Song, J. Y. Wang, J. Q. Wei, Y. G. Liu, and Z. S. Shao, “Non-critical phase matching of GdxY1-xCa4O(BO3)3 (GdxY1-xCOB) crystal,” Solid State Commun. 120(9-10), 397–400 (2001).
[Crossref]

Z. Wang, J. Liu, R. Song, X. Xu, X. Sun, H. Jiang, K. Fu, J. Wang, Y. Liu, J. Wei, and Z. Shao, “The second-harmonic-generation properties of GdCa4O(BO3)3 crystal with various phase-matching directions,” Opt. Commun. 187(4-6), 401–405 (2001).
[Crossref]

Z. P. Wang, J. H. Liu, R. B. Song, H. D. Jiang, S. J. Zhang, K. Fu, C. Q. Wang, J. Y. Wang, Y. G. Liu, J. Q. Wei, H. C. Chen, and Z. S. Shao, “Anisotropy of nonlinear-optical property of RCOB (R = Gd, Y) crystal,” Chin. Phys. Lett. 18(3), 385–387 (2001).
[Crossref]

Furuya, H.

N. Umemura, H. Nakao, H. Furuya, M. Yoshimura, Y. Mori, T. Sasaki, K. Yoshida, and K. Kato, “90° phase-matching properties of YCa4O(BO3)3 and GdxY1-xCa4O(BO3)3,” Jpn. J. Appl. Phys. 40(2), 596–600 (2001).
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H. Furuya, H. Nakao, I. Yamada, Y. F. Ruan, Y. K. Yap, M. Yoshimura, Y. Mori, and T. Sasaki, “Alleviation of photoinduced damage in GdxY1-xCa4O(BO3)3 at elevated crystal temperature for noncritically phase-matched 355-nm generation,” Opt. Lett. 25(21), 1588–1590 (2000).
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H. Furuya, M. Yoshimura, T. Kobayashi, K. Murase, Y. Mori, and T. Sasaki, “Crystal growth and characterization of GdxY1-xCa4O(BO3)3 crystal,” J. Cryst. Growth 198, 560–563 (1999).
[Crossref]

M. Yoshimura, H. Furuya, T. Kobayashi, K. Murase, Y. Mori, and T. Sasaki, “Noncritically phase-matched frequency conversion in Gd(x)Y(1-x)Ca(4)O(BO(3))(3) crystal,” Opt. Lett. 24(4), 193–195 (1999).
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M. Iwai, T. Kobayashi, H. Furuya, Y. Mori, and T. Sasaki, “Crystal Growth and Optical Characterization of Rare-Earth (Re) Calcium Oxyborate ReCa4(BO3)3 (Re=Y or Gd) as New Nonlinear Optical Material,” Jpn. J. Appl. Phys. 36(2), L276–L279 (1997).
[Crossref]

Gallinelli, T.

Gao, Z.

Garcia-Moreno, I.

L. Cerdán, J. Braborec, I. Garcia-Moreno, A. Costela, and M. G. Londesborough, “A borane laser,” Nat. Commun. 6, 5958 (2015).
[Crossref] [PubMed]

Gaydardzhiev, A.

V. Petrov, M. Ghotbi, O. Kokabee, A. Esteban-Martin, F. Noack, A. Gaydardzhiev, I. Nikolov, P. Tzankov, I. Buchvarov, K. Miyata, A. Majchrowski, I. V. Kityk, F. Rotermund, E. Michalski, and M. Ebrahim-Zadeh, “Femtosecond nonlinear frequency conversion based on BiB3O6,” Laser Photonics Rev. 4(1), 53–98 (2010).
[Crossref]

Georges, P.

Germershausen, S.

Gheorghe, L.

Ghotbi, M.

V. Petrov, M. Ghotbi, O. Kokabee, A. Esteban-Martin, F. Noack, A. Gaydardzhiev, I. Nikolov, P. Tzankov, I. Buchvarov, K. Miyata, A. Majchrowski, I. V. Kityk, F. Rotermund, E. Michalski, and M. Ebrahim-Zadeh, “Femtosecond nonlinear frequency conversion based on BiB3O6,” Laser Photonics Rev. 4(1), 53–98 (2010).
[Crossref]

Guo, F.

Hammons, D. A.

D. A. Hammons, M. Richardson, B. H. T. Chai, A. K. Chin, and R. Jollay, “Scaling of Longitudinally Diode-Pumped Self-Frequency-Doubling Nd:YCOB Lasers,” IEEE J. Quantum Electron. 36(8), 991–999 (2000).
[Crossref]

Han, J.

S. Zhang, Z. Cheng, J. Liu, J. Han, J. Wang, Z. Shao, and H. Chen, “Effect of strontium ion on the growth and second-harmonic generation properties of GdCa4O(BO3)3 crystal,” Chin. Phys. Lett. 18(1), 63–64 (2001).
[Crossref]

Han, S.

Y. Q. Liu, F. P. Yu, H. W. Qi, S. Han, F. Zhang, Z. P. Wang, X. Q. Yu, X. Zhao, and X. G. Xu, “High efficiency angular non-critical phase matching for Ti:sapphire laser realized on LaCa4O(BO3)3 single crystals,” Laser Phys. Lett. 11(9), 095403 (2014).
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Y. Q. Liu, L. Wei, F. P. Yu, Z. P. Wang, Y. G. Zhao, S. Han, X. Zhao, and X. G. Xu, “Crystal growth and efficient second-harmonic-generation of the monoclinic LaCa4(BO3)3 crystal,” CrystEngComm 15(30), 6035–6039 (2013).
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Hou, S.

S. Hou, F. P. Yu, Y. Q. Liu, S. J. Zhang, Q. M. Lu, S. L. Wang, and X. Zhao, “Crystal growth and characterization of thulium calcium oxyborate high-temperature piezoelectric crystals,” CrystEngComm 17(3), 553–560 (2015).
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Y. Q. Liu, F. P. Yu, Z. P. Wang, S. Hou, L. Yang, X. G. Xu, and X. Zhao, “Bulk growth and nonlinear optical properties of thulium calcium oxyborate single crystals,” CrystEngComm 16(30), 7141–7148 (2014).
[Crossref]

Hu, C. Y.

B. Q. Chen, C. Zhang, C. Y. Hu, R. J. Liu, and Z. Y. Li, “High-Efficiency Broadband High-Harmonic Generation from a Single Quasi-Phase-Matching Nonlinear Crystal,” Phys. Rev. Lett. 115(8), 083902 (2015).
[Crossref] [PubMed]

Huang, L.

Iwai, M.

M. Iwai, T. Kobayashi, H. Furuya, Y. Mori, and T. Sasaki, “Crystal Growth and Optical Characterization of Rare-Earth (Re) Calcium Oxyborate ReCa4(BO3)3 (Re=Y or Gd) as New Nonlinear Optical Material,” Jpn. J. Appl. Phys. 36(2), L276–L279 (1997).
[Crossref]

Ji, S.

S. Ji, F. Wang, L. Zhu, X. Xu, Z. Wang, and X. Sun, “Non-critical phase-matching fourth harmonic generation of a 1053-nm laser in an ADP crystal,” Sci. Rep. 3(1), 1605 (2013).
[Crossref] [PubMed]

Jia, Z.

Jiang, H.

Z. Wang, J. Liu, R. Song, X. Xu, X. Sun, H. Jiang, K. Fu, J. Wang, Y. Liu, J. Wei, and Z. Shao, “The second-harmonic-generation properties of GdCa4O(BO3)3 crystal with various phase-matching directions,” Opt. Commun. 187(4-6), 401–405 (2001).
[Crossref]

Jiang, H. D.

H. D. Jiang, D. W. Li, K. Q. Zhang, H. Liu, and J. Y. Wang, “Optical and thermal properties of nonlinear optical crystal LaCa4O(BO3)3,” Chem. Phys. Lett. 372(5-6), 788–793 (2003).
[Crossref]

Z. P. Wang, J. H. Liu, R. B. Song, H. D. Jiang, S. J. Zhang, K. Fu, C. Q. Wang, J. Y. Wang, Y. G. Liu, J. Q. Wei, H. C. Chen, and Z. S. Shao, “Anisotropy of nonlinear-optical property of RCOB (R = Gd, Y) crystal,” Chin. Phys. Lett. 18(3), 385–387 (2001).
[Crossref]

Jollay, R.

D. A. Hammons, M. Richardson, B. H. T. Chai, A. K. Chin, and R. Jollay, “Scaling of Longitudinally Diode-Pumped Self-Frequency-Doubling Nd:YCOB Lasers,” IEEE J. Quantum Electron. 36(8), 991–999 (2000).
[Crossref]

Kahn-Harari, A.

Kato, K.

N. Umemura, K. Miyata, K. Kato, M. Yoshimura, Y. Mori, and T. Sasaki, “Temperature phase-matching properties for harmonic generation in GdCa4O(BO3)3 and GdxY1-xCa4O(BO3)3.,” Appl. Opt. 45(16), 3859–3863 (2006).
[Crossref] [PubMed]

N. Umemura, M. Ando, K. Suzuki, E. Takaoka, K. Kato, M. Yoshimura, Y. Mori, and T. Sasaki, “Temperature insensitive second-harmonic generation at 0.5321 μm in YCa4O(BO3)3,” Jpn. J. Appl. Phys. 42(8), 5040–5042 (2003).
[Crossref]

N. Umemura, H. Nakao, H. Furuya, M. Yoshimura, Y. Mori, T. Sasaki, K. Yoshida, and K. Kato, “90° phase-matching properties of YCa4O(BO3)3 and GdxY1-xCa4O(BO3)3,” Jpn. J. Appl. Phys. 40(2), 596–600 (2001).
[Crossref]

Kausas, A.

Kityk, I. V.

V. Petrov, M. Ghotbi, O. Kokabee, A. Esteban-Martin, F. Noack, A. Gaydardzhiev, I. Nikolov, P. Tzankov, I. Buchvarov, K. Miyata, A. Majchrowski, I. V. Kityk, F. Rotermund, E. Michalski, and M. Ebrahim-Zadeh, “Femtosecond nonlinear frequency conversion based on BiB3O6,” Laser Photonics Rev. 4(1), 53–98 (2010).
[Crossref]

Kobayashi, T.

M. Yoshimura, H. Furuya, T. Kobayashi, K. Murase, Y. Mori, and T. Sasaki, “Noncritically phase-matched frequency conversion in Gd(x)Y(1-x)Ca(4)O(BO(3))(3) crystal,” Opt. Lett. 24(4), 193–195 (1999).
[Crossref] [PubMed]

H. Furuya, M. Yoshimura, T. Kobayashi, K. Murase, Y. Mori, and T. Sasaki, “Crystal growth and characterization of GdxY1-xCa4O(BO3)3 crystal,” J. Cryst. Growth 198, 560–563 (1999).
[Crossref]

M. Iwai, T. Kobayashi, H. Furuya, Y. Mori, and T. Sasaki, “Crystal Growth and Optical Characterization of Rare-Earth (Re) Calcium Oxyborate ReCa4(BO3)3 (Re=Y or Gd) as New Nonlinear Optical Material,” Jpn. J. Appl. Phys. 36(2), L276–L279 (1997).
[Crossref]

Kokabee, O.

V. Petrov, M. Ghotbi, O. Kokabee, A. Esteban-Martin, F. Noack, A. Gaydardzhiev, I. Nikolov, P. Tzankov, I. Buchvarov, K. Miyata, A. Majchrowski, I. V. Kityk, F. Rotermund, E. Michalski, and M. Ebrahim-Zadeh, “Femtosecond nonlinear frequency conversion based on BiB3O6,” Laser Photonics Rev. 4(1), 53–98 (2010).
[Crossref]

Li, D. W.

H. D. Jiang, D. W. Li, K. Q. Zhang, H. Liu, and J. Y. Wang, “Optical and thermal properties of nonlinear optical crystal LaCa4O(BO3)3,” Chem. Phys. Lett. 372(5-6), 788–793 (2003).
[Crossref]

Li, Y.

Li, Z.

Li, Z. Y.

B. Q. Chen, C. Zhang, C. Y. Hu, R. J. Liu, and Z. Y. Li, “High-Efficiency Broadband High-Harmonic Generation from a Single Quasi-Phase-Matching Nonlinear Crystal,” Phys. Rev. Lett. 115(8), 083902 (2015).
[Crossref] [PubMed]

Liao, Z. M.

Y. T. Fei, B. H. T. Chai, C. A. Ebbers, Z. M. Liao, K. I. Schaffers, and P. Thelin, “Large-aperture YCOB crystal growth for frequency conversion in the high average power laser system,” J. Cryst. Growth 290(1), 301–306 (2006).
[Crossref]

Liu, H.

H. D. Jiang, D. W. Li, K. Q. Zhang, H. Liu, and J. Y. Wang, “Optical and thermal properties of nonlinear optical crystal LaCa4O(BO3)3,” Chem. Phys. Lett. 372(5-6), 788–793 (2003).
[Crossref]

Liu, J.

Z. Wang, J. Liu, R. Song, X. Xu, X. Sun, H. Jiang, K. Fu, J. Wang, Y. Liu, J. Wei, and Z. Shao, “The second-harmonic-generation properties of GdCa4O(BO3)3 crystal with various phase-matching directions,” Opt. Commun. 187(4-6), 401–405 (2001).
[Crossref]

S. Zhang, Z. Cheng, J. Liu, J. Han, J. Wang, Z. Shao, and H. Chen, “Effect of strontium ion on the growth and second-harmonic generation properties of GdCa4O(BO3)3 crystal,” Chin. Phys. Lett. 18(1), 63–64 (2001).
[Crossref]

Liu, J. H.

Z. P. Wang, J. H. Liu, R. B. Song, H. D. Jiang, S. J. Zhang, K. Fu, C. Q. Wang, J. Y. Wang, Y. G. Liu, J. Q. Wei, H. C. Chen, and Z. S. Shao, “Anisotropy of nonlinear-optical property of RCOB (R = Gd, Y) crystal,” Chin. Phys. Lett. 18(3), 385–387 (2001).
[Crossref]

Liu, R. J.

B. Q. Chen, C. Zhang, C. Y. Hu, R. J. Liu, and Z. Y. Li, “High-Efficiency Broadband High-Harmonic Generation from a Single Quasi-Phase-Matching Nonlinear Crystal,” Phys. Rev. Lett. 115(8), 083902 (2015).
[Crossref] [PubMed]

Liu, X. S.

S. J. Zhang, H. Yang, Z. X. Cheng, X. S. Liu, and H. C. Chen, “Crystal growth, thermal and optical properties of SmCa4O(BO3)3 crystal,” J. Cryst. Growth 208(1-4), 482–486 (2000).
[Crossref]

Liu, Y.

Y. Liu, H. Qi, Q. Lu, F. Yu, Z. Wang, X. Xu, X. Zhao, and X. Zhao, “Type-II second-harmonic-generation properties of YCOB and GdCOB single crystals,” Opt. Express 23(3), 2163–2173 (2015).
[Crossref] [PubMed]

Z. Wang, J. Liu, R. Song, X. Xu, X. Sun, H. Jiang, K. Fu, J. Wang, Y. Liu, J. Wei, and Z. Shao, “The second-harmonic-generation properties of GdCa4O(BO3)3 crystal with various phase-matching directions,” Opt. Commun. 187(4-6), 401–405 (2001).
[Crossref]

Liu, Y. G.

Z. P. Wang, J. H. Liu, R. B. Song, H. D. Jiang, S. J. Zhang, K. Fu, C. Q. Wang, J. Y. Wang, Y. G. Liu, J. Q. Wei, H. C. Chen, and Z. S. Shao, “Anisotropy of nonlinear-optical property of RCOB (R = Gd, Y) crystal,” Chin. Phys. Lett. 18(3), 385–387 (2001).
[Crossref]

Z. P. Wang, X. G. Xu, K. Fu, R. B. Song, J. Y. Wang, J. Q. Wei, Y. G. Liu, and Z. S. Shao, “Non-critical phase matching of GdxY1-xCa4O(BO3)3 (GdxY1-xCOB) crystal,” Solid State Commun. 120(9-10), 397–400 (2001).
[Crossref]

Liu, Y. Q.

H. W. Qi, F. Wang, X. X. Chai, Z. P. Wang, F. P. Yu, Y. Q. Liu, X. Zhao, and X. G. Xu, “Growth and non-critical phase-matching frequency conversion properties of LaxY1-xCOB crystals,” CrystEngComm 18(33), 6205–6212 (2016).
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H. W. Qi, Z. P. Wang, F. Wang, X. X. Chai, F. P. Yu, Y. Q. Liu, X. Sun, X. G. Xu, and X. Zhao, “Non-critical phase-matched second-harmonic-generation and third- harmonic-generation of 1053 nm lasers in GdxY1-xCOB crystal,” Opt. Mater. Express 6(5), 1576–1586 (2016).
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Y. Q. Liu, F. P. Yu, H. W. Qi, S. Han, F. Zhang, Z. P. Wang, X. Q. Yu, X. Zhao, and X. G. Xu, “High efficiency angular non-critical phase matching for Ti:sapphire laser realized on LaCa4O(BO3)3 single crystals,” Laser Phys. Lett. 11(9), 095403 (2014).
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Y. Q. Liu, L. Wei, F. P. Yu, Z. P. Wang, Y. G. Zhao, S. Han, X. Zhao, and X. G. Xu, “Crystal growth and efficient second-harmonic-generation of the monoclinic LaCa4(BO3)3 crystal,” CrystEngComm 15(30), 6035–6039 (2013).
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Y. Lu and G. F. Wang, “Growth and spectroscopic properties of Nd3+:LaCa4O(BO3)3 crystals,” J. Cryst. Growth 253(1-4), 270–273 (2003).
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Majchrowski, A.

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N. Umemura, H. Nakao, H. Furuya, M. Yoshimura, Y. Mori, T. Sasaki, K. Yoshida, and K. Kato, “90° phase-matching properties of YCa4O(BO3)3 and GdxY1-xCa4O(BO3)3,” Jpn. J. Appl. Phys. 40(2), 596–600 (2001).
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H. Furuya, H. Nakao, I. Yamada, Y. F. Ruan, Y. K. Yap, M. Yoshimura, Y. Mori, and T. Sasaki, “Alleviation of photoinduced damage in GdxY1-xCa4O(BO3)3 at elevated crystal temperature for noncritically phase-matched 355-nm generation,” Opt. Lett. 25(21), 1588–1590 (2000).
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M. Iwai, T. Kobayashi, H. Furuya, Y. Mori, and T. Sasaki, “Crystal Growth and Optical Characterization of Rare-Earth (Re) Calcium Oxyborate ReCa4(BO3)3 (Re=Y or Gd) as New Nonlinear Optical Material,” Jpn. J. Appl. Phys. 36(2), L276–L279 (1997).
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Mougel, F.

Murase, K.

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H. Furuya, M. Yoshimura, T. Kobayashi, K. Murase, Y. Mori, and T. Sasaki, “Crystal growth and characterization of GdxY1-xCa4O(BO3)3 crystal,” J. Cryst. Growth 198, 560–563 (1999).
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H. Furuya, H. Nakao, I. Yamada, Y. F. Ruan, Y. K. Yap, M. Yoshimura, Y. Mori, and T. Sasaki, “Alleviation of photoinduced damage in GdxY1-xCa4O(BO3)3 at elevated crystal temperature for noncritically phase-matched 355-nm generation,” Opt. Lett. 25(21), 1588–1590 (2000).
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Qi, H. W.

H. W. Qi, Z. P. Wang, F. Wang, X. X. Chai, F. P. Yu, Y. Q. Liu, X. Sun, X. G. Xu, and X. Zhao, “Non-critical phase-matched second-harmonic-generation and third- harmonic-generation of 1053 nm lasers in GdxY1-xCOB crystal,” Opt. Mater. Express 6(5), 1576–1586 (2016).
[Crossref]

H. W. Qi, F. Wang, X. X. Chai, Z. P. Wang, F. P. Yu, Y. Q. Liu, X. Zhao, and X. G. Xu, “Growth and non-critical phase-matching frequency conversion properties of LaxY1-xCOB crystals,” CrystEngComm 18(33), 6205–6212 (2016).
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Y. Q. Liu, F. P. Yu, H. W. Qi, S. Han, F. Zhang, Z. P. Wang, X. Q. Yu, X. Zhao, and X. G. Xu, “High efficiency angular non-critical phase matching for Ti:sapphire laser realized on LaCa4O(BO3)3 single crystals,” Laser Phys. Lett. 11(9), 095403 (2014).
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Salin, F.

Sasaki, T.

N. Umemura, K. Miyata, K. Kato, M. Yoshimura, Y. Mori, and T. Sasaki, “Temperature phase-matching properties for harmonic generation in GdCa4O(BO3)3 and GdxY1-xCa4O(BO3)3.,” Appl. Opt. 45(16), 3859–3863 (2006).
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N. Umemura, M. Ando, K. Suzuki, E. Takaoka, K. Kato, M. Yoshimura, Y. Mori, and T. Sasaki, “Temperature insensitive second-harmonic generation at 0.5321 μm in YCa4O(BO3)3,” Jpn. J. Appl. Phys. 42(8), 5040–5042 (2003).
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N. Umemura, H. Nakao, H. Furuya, M. Yoshimura, Y. Mori, T. Sasaki, K. Yoshida, and K. Kato, “90° phase-matching properties of YCa4O(BO3)3 and GdxY1-xCa4O(BO3)3,” Jpn. J. Appl. Phys. 40(2), 596–600 (2001).
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H. Furuya, H. Nakao, I. Yamada, Y. F. Ruan, Y. K. Yap, M. Yoshimura, Y. Mori, and T. Sasaki, “Alleviation of photoinduced damage in GdxY1-xCa4O(BO3)3 at elevated crystal temperature for noncritically phase-matched 355-nm generation,” Opt. Lett. 25(21), 1588–1590 (2000).
[Crossref] [PubMed]

H. Furuya, M. Yoshimura, T. Kobayashi, K. Murase, Y. Mori, and T. Sasaki, “Crystal growth and characterization of GdxY1-xCa4O(BO3)3 crystal,” J. Cryst. Growth 198, 560–563 (1999).
[Crossref]

M. Yoshimura, H. Furuya, T. Kobayashi, K. Murase, Y. Mori, and T. Sasaki, “Noncritically phase-matched frequency conversion in Gd(x)Y(1-x)Ca(4)O(BO(3))(3) crystal,” Opt. Lett. 24(4), 193–195 (1999).
[Crossref] [PubMed]

M. Iwai, T. Kobayashi, H. Furuya, Y. Mori, and T. Sasaki, “Crystal Growth and Optical Characterization of Rare-Earth (Re) Calcium Oxyborate ReCa4(BO3)3 (Re=Y or Gd) as New Nonlinear Optical Material,” Jpn. J. Appl. Phys. 36(2), L276–L279 (1997).
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Y. T. Fei, B. H. T. Chai, C. A. Ebbers, Z. M. Liao, K. I. Schaffers, and P. Thelin, “Large-aperture YCOB crystal growth for frequency conversion in the high average power laser system,” J. Cryst. Growth 290(1), 301–306 (2006).
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S. Zhang, Z. Cheng, J. Liu, J. Han, J. Wang, Z. Shao, and H. Chen, “Effect of strontium ion on the growth and second-harmonic generation properties of GdCa4O(BO3)3 crystal,” Chin. Phys. Lett. 18(1), 63–64 (2001).
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Z. P. Wang, J. H. Liu, R. B. Song, H. D. Jiang, S. J. Zhang, K. Fu, C. Q. Wang, J. Y. Wang, Y. G. Liu, J. Q. Wei, H. C. Chen, and Z. S. Shao, “Anisotropy of nonlinear-optical property of RCOB (R = Gd, Y) crystal,” Chin. Phys. Lett. 18(3), 385–387 (2001).
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Z. P. Wang, X. G. Xu, K. Fu, R. B. Song, J. Y. Wang, J. Q. Wei, Y. G. Liu, and Z. S. Shao, “Non-critical phase matching of GdxY1-xCa4O(BO3)3 (GdxY1-xCOB) crystal,” Solid State Commun. 120(9-10), 397–400 (2001).
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Smith, A. V.

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Z. P. Wang, X. G. Xu, K. Fu, R. B. Song, J. Y. Wang, J. Q. Wei, Y. G. Liu, and Z. S. Shao, “Non-critical phase matching of GdxY1-xCa4O(BO3)3 (GdxY1-xCOB) crystal,” Solid State Commun. 120(9-10), 397–400 (2001).
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Stanciu, G.

A. Achim, L. Gheorghe, F. Voicu, and G. Stanciu, “Blue light production by type-I non-critical phase matching second-harmonic generation in La(Ca1-xSrx)4B(BO3)3 single crystals,” CrystEngComm 17(22), 4098–4101 (2015).
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Sun, X.

H. W. Qi, Z. P. Wang, F. Wang, X. X. Chai, F. P. Yu, Y. Q. Liu, X. Sun, X. G. Xu, and X. Zhao, “Non-critical phase-matched second-harmonic-generation and third- harmonic-generation of 1053 nm lasers in GdxY1-xCOB crystal,” Opt. Mater. Express 6(5), 1576–1586 (2016).
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L. Zhang, F. Zhang, M. Xu, Z. Wang, and X. Sun, “Noncritical phase matching fourth harmonic generation properties of KD(2)PO(4) crystals,” Opt. Express 23(18), 23401–23413 (2015).
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S. Ji, F. Wang, L. Zhu, X. Xu, Z. Wang, and X. Sun, “Non-critical phase-matching fourth harmonic generation of a 1053-nm laser in an ADP crystal,” Sci. Rep. 3(1), 1605 (2013).
[Crossref] [PubMed]

Z. Wang, J. Liu, R. Song, X. Xu, X. Sun, H. Jiang, K. Fu, J. Wang, Y. Liu, J. Wei, and Z. Shao, “The second-harmonic-generation properties of GdCa4O(BO3)3 crystal with various phase-matching directions,” Opt. Commun. 187(4-6), 401–405 (2001).
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N. Umemura, M. Ando, K. Suzuki, E. Takaoka, K. Kato, M. Yoshimura, Y. Mori, and T. Sasaki, “Temperature insensitive second-harmonic generation at 0.5321 μm in YCa4O(BO3)3,” Jpn. J. Appl. Phys. 42(8), 5040–5042 (2003).
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Taira, T.

Takaoka, E.

N. Umemura, M. Ando, K. Suzuki, E. Takaoka, K. Kato, M. Yoshimura, Y. Mori, and T. Sasaki, “Temperature insensitive second-harmonic generation at 0.5321 μm in YCa4O(BO3)3,” Jpn. J. Appl. Phys. 42(8), 5040–5042 (2003).
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Tao, X.

Thelin, P.

Y. T. Fei, B. H. T. Chai, C. A. Ebbers, Z. M. Liao, K. I. Schaffers, and P. Thelin, “Large-aperture YCOB crystal growth for frequency conversion in the high average power laser system,” J. Cryst. Growth 290(1), 301–306 (2006).
[Crossref]

Thorhauge, M.

Tidemand-Lichtenberg, P.

Tu, X.

X. Tu, Y. Zheng, K. Xiong, Y. Shi, and E. Shi, “Crystal growth and characterization of 4 in. YCa4O(BO3)3 crystal,” J. Cryst. Growth 401, 160–163 (2014).
[Crossref]

Tu, X. N.

Y. F. Tu, Y. Q. Zheng, X. N. Tu, K. N. Xiong, and E. W. Shi, “Growth and characterization of SmxY1-xCa4O(BO3)3 single crystals for nonlinear optical applications,” CrystEngComm 15(31), 6244–6248 (2013).
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Tu, Y. F.

Y. F. Tu, Y. Q. Zheng, X. N. Tu, K. N. Xiong, and E. W. Shi, “Growth and characterization of SmxY1-xCa4O(BO3)3 single crystals for nonlinear optical applications,” CrystEngComm 15(31), 6244–6248 (2013).
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V. Petrov, M. Ghotbi, O. Kokabee, A. Esteban-Martin, F. Noack, A. Gaydardzhiev, I. Nikolov, P. Tzankov, I. Buchvarov, K. Miyata, A. Majchrowski, I. V. Kityk, F. Rotermund, E. Michalski, and M. Ebrahim-Zadeh, “Femtosecond nonlinear frequency conversion based on BiB3O6,” Laser Photonics Rev. 4(1), 53–98 (2010).
[Crossref]

P. Tzankov and V. Petrov, “Effective second-order nonlinearity in acentric optical crystals with low symmetry,” Appl. Opt. 44(32), 6971–6985 (2005).
[Crossref] [PubMed]

Umemura, N.

N. Umemura, K. Miyata, K. Kato, M. Yoshimura, Y. Mori, and T. Sasaki, “Temperature phase-matching properties for harmonic generation in GdCa4O(BO3)3 and GdxY1-xCa4O(BO3)3.,” Appl. Opt. 45(16), 3859–3863 (2006).
[Crossref] [PubMed]

N. Umemura, M. Ando, K. Suzuki, E. Takaoka, K. Kato, M. Yoshimura, Y. Mori, and T. Sasaki, “Temperature insensitive second-harmonic generation at 0.5321 μm in YCa4O(BO3)3,” Jpn. J. Appl. Phys. 42(8), 5040–5042 (2003).
[Crossref]

N. Umemura, H. Nakao, H. Furuya, M. Yoshimura, Y. Mori, T. Sasaki, K. Yoshida, and K. Kato, “90° phase-matching properties of YCa4O(BO3)3 and GdxY1-xCa4O(BO3)3,” Jpn. J. Appl. Phys. 40(2), 596–600 (2001).
[Crossref]

Vivien, D.

Voicu, F.

A. Achim, L. Gheorghe, F. Voicu, and G. Stanciu, “Blue light production by type-I non-critical phase matching second-harmonic generation in La(Ca1-xSrx)4B(BO3)3 single crystals,” CrystEngComm 17(22), 4098–4101 (2015).
[Crossref]

Wang, C. M.

F. P. Yu, S. J. Zhang, X. Zhao, D. R. Yuan, C. M. Wang, and T. R. Shrout, “Characterization of Neodymium Calcium Oxyborate Piezoelectric Crystal with Monoclinic Phase,” Cryst. Growth Des. 10(4), 1871–1877 (2010).
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Wang, C. Q.

Z. P. Wang, J. H. Liu, R. B. Song, H. D. Jiang, S. J. Zhang, K. Fu, C. Q. Wang, J. Y. Wang, Y. G. Liu, J. Q. Wei, H. C. Chen, and Z. S. Shao, “Anisotropy of nonlinear-optical property of RCOB (R = Gd, Y) crystal,” Chin. Phys. Lett. 18(3), 385–387 (2001).
[Crossref]

Wang, F.

H. W. Qi, F. Wang, X. X. Chai, Z. P. Wang, F. P. Yu, Y. Q. Liu, X. Zhao, and X. G. Xu, “Growth and non-critical phase-matching frequency conversion properties of LaxY1-xCOB crystals,” CrystEngComm 18(33), 6205–6212 (2016).
[Crossref]

H. W. Qi, Z. P. Wang, F. Wang, X. X. Chai, F. P. Yu, Y. Q. Liu, X. Sun, X. G. Xu, and X. Zhao, “Non-critical phase-matched second-harmonic-generation and third- harmonic-generation of 1053 nm lasers in GdxY1-xCOB crystal,” Opt. Mater. Express 6(5), 1576–1586 (2016).
[Crossref]

S. Ji, F. Wang, L. Zhu, X. Xu, Z. Wang, and X. Sun, “Non-critical phase-matching fourth harmonic generation of a 1053-nm laser in an ADP crystal,” Sci. Rep. 3(1), 1605 (2013).
[Crossref] [PubMed]

Wang, G. F.

Y. Lu and G. F. Wang, “Growth and spectroscopic properties of Nd3+:LaCa4O(BO3)3 crystals,” J. Cryst. Growth 253(1-4), 270–273 (2003).
[Crossref]

Wang, J.

Z. Wang, J. Liu, R. Song, X. Xu, X. Sun, H. Jiang, K. Fu, J. Wang, Y. Liu, J. Wei, and Z. Shao, “The second-harmonic-generation properties of GdCa4O(BO3)3 crystal with various phase-matching directions,” Opt. Commun. 187(4-6), 401–405 (2001).
[Crossref]

S. Zhang, Z. Cheng, J. Liu, J. Han, J. Wang, Z. Shao, and H. Chen, “Effect of strontium ion on the growth and second-harmonic generation properties of GdCa4O(BO3)3 crystal,” Chin. Phys. Lett. 18(1), 63–64 (2001).
[Crossref]

Wang, J. Y.

H. D. Jiang, D. W. Li, K. Q. Zhang, H. Liu, and J. Y. Wang, “Optical and thermal properties of nonlinear optical crystal LaCa4O(BO3)3,” Chem. Phys. Lett. 372(5-6), 788–793 (2003).
[Crossref]

Z. P. Wang, J. H. Liu, R. B. Song, H. D. Jiang, S. J. Zhang, K. Fu, C. Q. Wang, J. Y. Wang, Y. G. Liu, J. Q. Wei, H. C. Chen, and Z. S. Shao, “Anisotropy of nonlinear-optical property of RCOB (R = Gd, Y) crystal,” Chin. Phys. Lett. 18(3), 385–387 (2001).
[Crossref]

Z. P. Wang, X. G. Xu, K. Fu, R. B. Song, J. Y. Wang, J. Q. Wei, Y. G. Liu, and Z. S. Shao, “Non-critical phase matching of GdxY1-xCa4O(BO3)3 (GdxY1-xCOB) crystal,” Solid State Commun. 120(9-10), 397–400 (2001).
[Crossref]

Wang, P.

Wang, R.

Wang, S. L.

S. Hou, F. P. Yu, Y. Q. Liu, S. J. Zhang, Q. M. Lu, S. L. Wang, and X. Zhao, “Crystal growth and characterization of thulium calcium oxyborate high-temperature piezoelectric crystals,” CrystEngComm 17(3), 553–560 (2015).
[Crossref]

Wang, Z.

Wang, Z. P.

H. W. Qi, Z. P. Wang, F. Wang, X. X. Chai, F. P. Yu, Y. Q. Liu, X. Sun, X. G. Xu, and X. Zhao, “Non-critical phase-matched second-harmonic-generation and third- harmonic-generation of 1053 nm lasers in GdxY1-xCOB crystal,” Opt. Mater. Express 6(5), 1576–1586 (2016).
[Crossref]

H. W. Qi, F. Wang, X. X. Chai, Z. P. Wang, F. P. Yu, Y. Q. Liu, X. Zhao, and X. G. Xu, “Growth and non-critical phase-matching frequency conversion properties of LaxY1-xCOB crystals,” CrystEngComm 18(33), 6205–6212 (2016).
[Crossref]

Y. Q. Liu, F. P. Yu, Z. P. Wang, S. Hou, L. Yang, X. G. Xu, and X. Zhao, “Bulk growth and nonlinear optical properties of thulium calcium oxyborate single crystals,” CrystEngComm 16(30), 7141–7148 (2014).
[Crossref]

Y. Q. Liu, F. P. Yu, Z. P. Wang, X. G. Xu, and X. Zhao, “Anisotropy of nonlinear optical properties in monoclinic crystal TmCa4O(BO3)3,” Opt. Mater. Express 4(9), 1787–1793 (2014).
[Crossref]

Y. Q. Liu, F. P. Yu, H. W. Qi, S. Han, F. Zhang, Z. P. Wang, X. Q. Yu, X. Zhao, and X. G. Xu, “High efficiency angular non-critical phase matching for Ti:sapphire laser realized on LaCa4O(BO3)3 single crystals,” Laser Phys. Lett. 11(9), 095403 (2014).
[Crossref]

Y. Q. Liu, L. Wei, F. P. Yu, Z. P. Wang, Y. G. Zhao, S. Han, X. Zhao, and X. G. Xu, “Crystal growth and efficient second-harmonic-generation of the monoclinic LaCa4(BO3)3 crystal,” CrystEngComm 15(30), 6035–6039 (2013).
[Crossref]

Z. P. Wang, X. G. Xu, K. Fu, R. B. Song, J. Y. Wang, J. Q. Wei, Y. G. Liu, and Z. S. Shao, “Non-critical phase matching of GdxY1-xCa4O(BO3)3 (GdxY1-xCOB) crystal,” Solid State Commun. 120(9-10), 397–400 (2001).
[Crossref]

Z. P. Wang, J. H. Liu, R. B. Song, H. D. Jiang, S. J. Zhang, K. Fu, C. Q. Wang, J. Y. Wang, Y. G. Liu, J. Q. Wei, H. C. Chen, and Z. S. Shao, “Anisotropy of nonlinear-optical property of RCOB (R = Gd, Y) crystal,” Chin. Phys. Lett. 18(3), 385–387 (2001).
[Crossref]

Wei, J.

Z. Wang, J. Liu, R. Song, X. Xu, X. Sun, H. Jiang, K. Fu, J. Wang, Y. Liu, J. Wei, and Z. Shao, “The second-harmonic-generation properties of GdCa4O(BO3)3 crystal with various phase-matching directions,” Opt. Commun. 187(4-6), 401–405 (2001).
[Crossref]

Wei, J. Q.

Z. P. Wang, J. H. Liu, R. B. Song, H. D. Jiang, S. J. Zhang, K. Fu, C. Q. Wang, J. Y. Wang, Y. G. Liu, J. Q. Wei, H. C. Chen, and Z. S. Shao, “Anisotropy of nonlinear-optical property of RCOB (R = Gd, Y) crystal,” Chin. Phys. Lett. 18(3), 385–387 (2001).
[Crossref]

Z. P. Wang, X. G. Xu, K. Fu, R. B. Song, J. Y. Wang, J. Q. Wei, Y. G. Liu, and Z. S. Shao, “Non-critical phase matching of GdxY1-xCa4O(BO3)3 (GdxY1-xCOB) crystal,” Solid State Commun. 120(9-10), 397–400 (2001).
[Crossref]

Wei, L.

Y. Q. Liu, L. Wei, F. P. Yu, Z. P. Wang, Y. G. Zhao, S. Han, X. Zhao, and X. G. Xu, “Crystal growth and efficient second-harmonic-generation of the monoclinic LaCa4(BO3)3 crystal,” CrystEngComm 15(30), 6035–6039 (2013).
[Crossref]

Wen, W. Q.

Xiong, K.

X. Tu, Y. Zheng, K. Xiong, Y. Shi, and E. Shi, “Crystal growth and characterization of 4 in. YCa4O(BO3)3 crystal,” J. Cryst. Growth 401, 160–163 (2014).
[Crossref]

Xiong, K. N.

Y. F. Tu, Y. Q. Zheng, X. N. Tu, K. N. Xiong, and E. W. Shi, “Growth and characterization of SmxY1-xCa4O(BO3)3 single crystals for nonlinear optical applications,” CrystEngComm 15(31), 6244–6248 (2013).
[Crossref]

Xu, M.

Xu, X.

Y. Liu, H. Qi, Q. Lu, F. Yu, Z. Wang, X. Xu, X. Zhao, and X. Zhao, “Type-II second-harmonic-generation properties of YCOB and GdCOB single crystals,” Opt. Express 23(3), 2163–2173 (2015).
[Crossref] [PubMed]

S. Ji, F. Wang, L. Zhu, X. Xu, Z. Wang, and X. Sun, “Non-critical phase-matching fourth harmonic generation of a 1053-nm laser in an ADP crystal,” Sci. Rep. 3(1), 1605 (2013).
[Crossref] [PubMed]

Z. Wang, J. Liu, R. Song, X. Xu, X. Sun, H. Jiang, K. Fu, J. Wang, Y. Liu, J. Wei, and Z. Shao, “The second-harmonic-generation properties of GdCa4O(BO3)3 crystal with various phase-matching directions,” Opt. Commun. 187(4-6), 401–405 (2001).
[Crossref]

Xu, X. G.

H. W. Qi, Z. P. Wang, F. Wang, X. X. Chai, F. P. Yu, Y. Q. Liu, X. Sun, X. G. Xu, and X. Zhao, “Non-critical phase-matched second-harmonic-generation and third- harmonic-generation of 1053 nm lasers in GdxY1-xCOB crystal,” Opt. Mater. Express 6(5), 1576–1586 (2016).
[Crossref]

H. W. Qi, F. Wang, X. X. Chai, Z. P. Wang, F. P. Yu, Y. Q. Liu, X. Zhao, and X. G. Xu, “Growth and non-critical phase-matching frequency conversion properties of LaxY1-xCOB crystals,” CrystEngComm 18(33), 6205–6212 (2016).
[Crossref]

Y. Q. Liu, F. P. Yu, Z. P. Wang, S. Hou, L. Yang, X. G. Xu, and X. Zhao, “Bulk growth and nonlinear optical properties of thulium calcium oxyborate single crystals,” CrystEngComm 16(30), 7141–7148 (2014).
[Crossref]

Y. Q. Liu, F. P. Yu, Z. P. Wang, X. G. Xu, and X. Zhao, “Anisotropy of nonlinear optical properties in monoclinic crystal TmCa4O(BO3)3,” Opt. Mater. Express 4(9), 1787–1793 (2014).
[Crossref]

Y. Q. Liu, F. P. Yu, H. W. Qi, S. Han, F. Zhang, Z. P. Wang, X. Q. Yu, X. Zhao, and X. G. Xu, “High efficiency angular non-critical phase matching for Ti:sapphire laser realized on LaCa4O(BO3)3 single crystals,” Laser Phys. Lett. 11(9), 095403 (2014).
[Crossref]

Y. Q. Liu, L. Wei, F. P. Yu, Z. P. Wang, Y. G. Zhao, S. Han, X. Zhao, and X. G. Xu, “Crystal growth and efficient second-harmonic-generation of the monoclinic LaCa4(BO3)3 crystal,” CrystEngComm 15(30), 6035–6039 (2013).
[Crossref]

Z. P. Wang, X. G. Xu, K. Fu, R. B. Song, J. Y. Wang, J. Q. Wei, Y. G. Liu, and Z. S. Shao, “Non-critical phase matching of GdxY1-xCa4O(BO3)3 (GdxY1-xCOB) crystal,” Solid State Commun. 120(9-10), 397–400 (2001).
[Crossref]

Yamada, I.

Yang, H.

S. J. Zhang, H. Yang, Z. X. Cheng, X. S. Liu, and H. C. Chen, “Crystal growth, thermal and optical properties of SmCa4O(BO3)3 crystal,” J. Cryst. Growth 208(1-4), 482–486 (2000).
[Crossref]

Yang, L.

Y. Q. Liu, F. P. Yu, Z. P. Wang, S. Hou, L. Yang, X. G. Xu, and X. Zhao, “Bulk growth and nonlinear optical properties of thulium calcium oxyborate single crystals,” CrystEngComm 16(30), 7141–7148 (2014).
[Crossref]

Yao, J. Q.

Yap, Y. K.

Yoshida, K.

N. Umemura, H. Nakao, H. Furuya, M. Yoshimura, Y. Mori, T. Sasaki, K. Yoshida, and K. Kato, “90° phase-matching properties of YCa4O(BO3)3 and GdxY1-xCa4O(BO3)3,” Jpn. J. Appl. Phys. 40(2), 596–600 (2001).
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Yoshimura, M.

N. Umemura, K. Miyata, K. Kato, M. Yoshimura, Y. Mori, and T. Sasaki, “Temperature phase-matching properties for harmonic generation in GdCa4O(BO3)3 and GdxY1-xCa4O(BO3)3.,” Appl. Opt. 45(16), 3859–3863 (2006).
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N. Umemura, M. Ando, K. Suzuki, E. Takaoka, K. Kato, M. Yoshimura, Y. Mori, and T. Sasaki, “Temperature insensitive second-harmonic generation at 0.5321 μm in YCa4O(BO3)3,” Jpn. J. Appl. Phys. 42(8), 5040–5042 (2003).
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N. Umemura, H. Nakao, H. Furuya, M. Yoshimura, Y. Mori, T. Sasaki, K. Yoshida, and K. Kato, “90° phase-matching properties of YCa4O(BO3)3 and GdxY1-xCa4O(BO3)3,” Jpn. J. Appl. Phys. 40(2), 596–600 (2001).
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H. Furuya, H. Nakao, I. Yamada, Y. F. Ruan, Y. K. Yap, M. Yoshimura, Y. Mori, and T. Sasaki, “Alleviation of photoinduced damage in GdxY1-xCa4O(BO3)3 at elevated crystal temperature for noncritically phase-matched 355-nm generation,” Opt. Lett. 25(21), 1588–1590 (2000).
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H. Furuya, M. Yoshimura, T. Kobayashi, K. Murase, Y. Mori, and T. Sasaki, “Crystal growth and characterization of GdxY1-xCa4O(BO3)3 crystal,” J. Cryst. Growth 198, 560–563 (1999).
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M. Yoshimura, H. Furuya, T. Kobayashi, K. Murase, Y. Mori, and T. Sasaki, “Noncritically phase-matched frequency conversion in Gd(x)Y(1-x)Ca(4)O(BO(3))(3) crystal,” Opt. Lett. 24(4), 193–195 (1999).
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Yu, F.

Yu, F. P.

H. W. Qi, Z. P. Wang, F. Wang, X. X. Chai, F. P. Yu, Y. Q. Liu, X. Sun, X. G. Xu, and X. Zhao, “Non-critical phase-matched second-harmonic-generation and third- harmonic-generation of 1053 nm lasers in GdxY1-xCOB crystal,” Opt. Mater. Express 6(5), 1576–1586 (2016).
[Crossref]

H. W. Qi, F. Wang, X. X. Chai, Z. P. Wang, F. P. Yu, Y. Q. Liu, X. Zhao, and X. G. Xu, “Growth and non-critical phase-matching frequency conversion properties of LaxY1-xCOB crystals,” CrystEngComm 18(33), 6205–6212 (2016).
[Crossref]

S. Hou, F. P. Yu, Y. Q. Liu, S. J. Zhang, Q. M. Lu, S. L. Wang, and X. Zhao, “Crystal growth and characterization of thulium calcium oxyborate high-temperature piezoelectric crystals,” CrystEngComm 17(3), 553–560 (2015).
[Crossref]

Y. Q. Liu, F. P. Yu, Z. P. Wang, S. Hou, L. Yang, X. G. Xu, and X. Zhao, “Bulk growth and nonlinear optical properties of thulium calcium oxyborate single crystals,” CrystEngComm 16(30), 7141–7148 (2014).
[Crossref]

Y. Q. Liu, F. P. Yu, Z. P. Wang, X. G. Xu, and X. Zhao, “Anisotropy of nonlinear optical properties in monoclinic crystal TmCa4O(BO3)3,” Opt. Mater. Express 4(9), 1787–1793 (2014).
[Crossref]

Y. Q. Liu, F. P. Yu, H. W. Qi, S. Han, F. Zhang, Z. P. Wang, X. Q. Yu, X. Zhao, and X. G. Xu, “High efficiency angular non-critical phase matching for Ti:sapphire laser realized on LaCa4O(BO3)3 single crystals,” Laser Phys. Lett. 11(9), 095403 (2014).
[Crossref]

Y. Q. Liu, L. Wei, F. P. Yu, Z. P. Wang, Y. G. Zhao, S. Han, X. Zhao, and X. G. Xu, “Crystal growth and efficient second-harmonic-generation of the monoclinic LaCa4(BO3)3 crystal,” CrystEngComm 15(30), 6035–6039 (2013).
[Crossref]

F. P. Yu, S. J. Zhang, X. Zhao, D. R. Yuan, C. M. Wang, and T. R. Shrout, “Characterization of Neodymium Calcium Oxyborate Piezoelectric Crystal with Monoclinic Phase,” Cryst. Growth Des. 10(4), 1871–1877 (2010).
[Crossref]

Yu, X. Q.

Y. Q. Liu, F. P. Yu, H. W. Qi, S. Han, F. Zhang, Z. P. Wang, X. Q. Yu, X. Zhao, and X. G. Xu, “High efficiency angular non-critical phase matching for Ti:sapphire laser realized on LaCa4O(BO3)3 single crystals,” Laser Phys. Lett. 11(9), 095403 (2014).
[Crossref]

Yu, X. Y.

Yuan, D.

Yuan, D. R.

F. P. Yu, S. J. Zhang, X. Zhao, D. R. Yuan, C. M. Wang, and T. R. Shrout, “Characterization of Neodymium Calcium Oxyborate Piezoelectric Crystal with Monoclinic Phase,” Cryst. Growth Des. 10(4), 1871–1877 (2010).
[Crossref]

Zaccaro, J.

Zhang, C.

B. Q. Chen, C. Zhang, C. Y. Hu, R. J. Liu, and Z. Y. Li, “High-Efficiency Broadband High-Harmonic Generation from a Single Quasi-Phase-Matching Nonlinear Crystal,” Phys. Rev. Lett. 115(8), 083902 (2015).
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Zhang, F.

L. Zhang, F. Zhang, M. Xu, Z. Wang, and X. Sun, “Noncritical phase matching fourth harmonic generation properties of KD(2)PO(4) crystals,” Opt. Express 23(18), 23401–23413 (2015).
[Crossref] [PubMed]

Y. Q. Liu, F. P. Yu, H. W. Qi, S. Han, F. Zhang, Z. P. Wang, X. Q. Yu, X. Zhao, and X. G. Xu, “High efficiency angular non-critical phase matching for Ti:sapphire laser realized on LaCa4O(BO3)3 single crystals,” Laser Phys. Lett. 11(9), 095403 (2014).
[Crossref]

Zhang, H.

Zhang, K. Q.

H. D. Jiang, D. W. Li, K. Q. Zhang, H. Liu, and J. Y. Wang, “Optical and thermal properties of nonlinear optical crystal LaCa4O(BO3)3,” Chem. Phys. Lett. 372(5-6), 788–793 (2003).
[Crossref]

Zhang, L.

Zhang, S.

D. Yuan, Z. Gao, S. Zhang, Z. Jia, J. Shu, Y. Li, Z. Wang, and X. Tao, “Linear and nonlinear optical properties of terbium calcium oxyborate single crystals,” Opt. Express 22(22), 27606–27616 (2014).
[Crossref] [PubMed]

S. Zhang, Z. Cheng, J. Liu, J. Han, J. Wang, Z. Shao, and H. Chen, “Effect of strontium ion on the growth and second-harmonic generation properties of GdCa4O(BO3)3 crystal,” Chin. Phys. Lett. 18(1), 63–64 (2001).
[Crossref]

Zhang, S. J.

S. Hou, F. P. Yu, Y. Q. Liu, S. J. Zhang, Q. M. Lu, S. L. Wang, and X. Zhao, “Crystal growth and characterization of thulium calcium oxyborate high-temperature piezoelectric crystals,” CrystEngComm 17(3), 553–560 (2015).
[Crossref]

F. P. Yu, S. J. Zhang, X. Zhao, D. R. Yuan, C. M. Wang, and T. R. Shrout, “Characterization of Neodymium Calcium Oxyborate Piezoelectric Crystal with Monoclinic Phase,” Cryst. Growth Des. 10(4), 1871–1877 (2010).
[Crossref]

Z. P. Wang, J. H. Liu, R. B. Song, H. D. Jiang, S. J. Zhang, K. Fu, C. Q. Wang, J. Y. Wang, Y. G. Liu, J. Q. Wei, H. C. Chen, and Z. S. Shao, “Anisotropy of nonlinear-optical property of RCOB (R = Gd, Y) crystal,” Chin. Phys. Lett. 18(3), 385–387 (2001).
[Crossref]

S. J. Zhang, H. Yang, Z. X. Cheng, X. S. Liu, and H. C. Chen, “Crystal growth, thermal and optical properties of SmCa4O(BO3)3 crystal,” J. Cryst. Growth 208(1-4), 482–486 (2000).
[Crossref]

Zhao, X.

H. W. Qi, Z. P. Wang, F. Wang, X. X. Chai, F. P. Yu, Y. Q. Liu, X. Sun, X. G. Xu, and X. Zhao, “Non-critical phase-matched second-harmonic-generation and third- harmonic-generation of 1053 nm lasers in GdxY1-xCOB crystal,” Opt. Mater. Express 6(5), 1576–1586 (2016).
[Crossref]

H. W. Qi, F. Wang, X. X. Chai, Z. P. Wang, F. P. Yu, Y. Q. Liu, X. Zhao, and X. G. Xu, “Growth and non-critical phase-matching frequency conversion properties of LaxY1-xCOB crystals,” CrystEngComm 18(33), 6205–6212 (2016).
[Crossref]

Y. Liu, H. Qi, Q. Lu, F. Yu, Z. Wang, X. Xu, X. Zhao, and X. Zhao, “Type-II second-harmonic-generation properties of YCOB and GdCOB single crystals,” Opt. Express 23(3), 2163–2173 (2015).
[Crossref] [PubMed]

Y. Liu, H. Qi, Q. Lu, F. Yu, Z. Wang, X. Xu, X. Zhao, and X. Zhao, “Type-II second-harmonic-generation properties of YCOB and GdCOB single crystals,” Opt. Express 23(3), 2163–2173 (2015).
[Crossref] [PubMed]

S. Hou, F. P. Yu, Y. Q. Liu, S. J. Zhang, Q. M. Lu, S. L. Wang, and X. Zhao, “Crystal growth and characterization of thulium calcium oxyborate high-temperature piezoelectric crystals,” CrystEngComm 17(3), 553–560 (2015).
[Crossref]

Y. Q. Liu, F. P. Yu, Z. P. Wang, S. Hou, L. Yang, X. G. Xu, and X. Zhao, “Bulk growth and nonlinear optical properties of thulium calcium oxyborate single crystals,” CrystEngComm 16(30), 7141–7148 (2014).
[Crossref]

Y. Q. Liu, F. P. Yu, Z. P. Wang, X. G. Xu, and X. Zhao, “Anisotropy of nonlinear optical properties in monoclinic crystal TmCa4O(BO3)3,” Opt. Mater. Express 4(9), 1787–1793 (2014).
[Crossref]

Y. Q. Liu, F. P. Yu, H. W. Qi, S. Han, F. Zhang, Z. P. Wang, X. Q. Yu, X. Zhao, and X. G. Xu, “High efficiency angular non-critical phase matching for Ti:sapphire laser realized on LaCa4O(BO3)3 single crystals,” Laser Phys. Lett. 11(9), 095403 (2014).
[Crossref]

Y. Q. Liu, L. Wei, F. P. Yu, Z. P. Wang, Y. G. Zhao, S. Han, X. Zhao, and X. G. Xu, “Crystal growth and efficient second-harmonic-generation of the monoclinic LaCa4(BO3)3 crystal,” CrystEngComm 15(30), 6035–6039 (2013).
[Crossref]

F. P. Yu, S. J. Zhang, X. Zhao, D. R. Yuan, C. M. Wang, and T. R. Shrout, “Characterization of Neodymium Calcium Oxyborate Piezoelectric Crystal with Monoclinic Phase,” Cryst. Growth Des. 10(4), 1871–1877 (2010).
[Crossref]

Zhao, Y. G.

Y. Q. Liu, L. Wei, F. P. Yu, Z. P. Wang, Y. G. Zhao, S. Han, X. Zhao, and X. G. Xu, “Crystal growth and efficient second-harmonic-generation of the monoclinic LaCa4(BO3)3 crystal,” CrystEngComm 15(30), 6035–6039 (2013).
[Crossref]

Zheng, L.

Zheng, Y.

A. Kausas, P. Loiseau, G. Aka, Y. Zheng, L. Zheng, and T. Taira, “Temperature stable operation of YCOB crystal for giant-pulse green microlaser,” Opt. Express 25(6), 6431–6439 (2017).
[Crossref] [PubMed]

X. Tu, Y. Zheng, K. Xiong, Y. Shi, and E. Shi, “Crystal growth and characterization of 4 in. YCa4O(BO3)3 crystal,” J. Cryst. Growth 401, 160–163 (2014).
[Crossref]

Zheng, Y. Q.

Y. F. Tu, Y. Q. Zheng, X. N. Tu, K. N. Xiong, and E. W. Shi, “Growth and characterization of SmxY1-xCa4O(BO3)3 single crystals for nonlinear optical applications,” CrystEngComm 15(31), 6244–6248 (2013).
[Crossref]

Zhu, L.

S. Ji, F. Wang, L. Zhu, X. Xu, Z. Wang, and X. Sun, “Non-critical phase-matching fourth harmonic generation of a 1053-nm laser in an ADP crystal,” Sci. Rep. 3(1), 1605 (2013).
[Crossref] [PubMed]

Appl. Opt. (2)

Chem. Phys. Lett. (1)

H. D. Jiang, D. W. Li, K. Q. Zhang, H. Liu, and J. Y. Wang, “Optical and thermal properties of nonlinear optical crystal LaCa4O(BO3)3,” Chem. Phys. Lett. 372(5-6), 788–793 (2003).
[Crossref]

Chin. Phys. Lett. (2)

S. Zhang, Z. Cheng, J. Liu, J. Han, J. Wang, Z. Shao, and H. Chen, “Effect of strontium ion on the growth and second-harmonic generation properties of GdCa4O(BO3)3 crystal,” Chin. Phys. Lett. 18(1), 63–64 (2001).
[Crossref]

Z. P. Wang, J. H. Liu, R. B. Song, H. D. Jiang, S. J. Zhang, K. Fu, C. Q. Wang, J. Y. Wang, Y. G. Liu, J. Q. Wei, H. C. Chen, and Z. S. Shao, “Anisotropy of nonlinear-optical property of RCOB (R = Gd, Y) crystal,” Chin. Phys. Lett. 18(3), 385–387 (2001).
[Crossref]

Cryst. Growth Des. (1)

F. P. Yu, S. J. Zhang, X. Zhao, D. R. Yuan, C. M. Wang, and T. R. Shrout, “Characterization of Neodymium Calcium Oxyborate Piezoelectric Crystal with Monoclinic Phase,” Cryst. Growth Des. 10(4), 1871–1877 (2010).
[Crossref]

CrystEngComm (6)

S. Hou, F. P. Yu, Y. Q. Liu, S. J. Zhang, Q. M. Lu, S. L. Wang, and X. Zhao, “Crystal growth and characterization of thulium calcium oxyborate high-temperature piezoelectric crystals,” CrystEngComm 17(3), 553–560 (2015).
[Crossref]

Y. Q. Liu, L. Wei, F. P. Yu, Z. P. Wang, Y. G. Zhao, S. Han, X. Zhao, and X. G. Xu, “Crystal growth and efficient second-harmonic-generation of the monoclinic LaCa4(BO3)3 crystal,” CrystEngComm 15(30), 6035–6039 (2013).
[Crossref]

Y. Q. Liu, F. P. Yu, Z. P. Wang, S. Hou, L. Yang, X. G. Xu, and X. Zhao, “Bulk growth and nonlinear optical properties of thulium calcium oxyborate single crystals,” CrystEngComm 16(30), 7141–7148 (2014).
[Crossref]

Y. F. Tu, Y. Q. Zheng, X. N. Tu, K. N. Xiong, and E. W. Shi, “Growth and characterization of SmxY1-xCa4O(BO3)3 single crystals for nonlinear optical applications,” CrystEngComm 15(31), 6244–6248 (2013).
[Crossref]

A. Achim, L. Gheorghe, F. Voicu, and G. Stanciu, “Blue light production by type-I non-critical phase matching second-harmonic generation in La(Ca1-xSrx)4B(BO3)3 single crystals,” CrystEngComm 17(22), 4098–4101 (2015).
[Crossref]

H. W. Qi, F. Wang, X. X. Chai, Z. P. Wang, F. P. Yu, Y. Q. Liu, X. Zhao, and X. G. Xu, “Growth and non-critical phase-matching frequency conversion properties of LaxY1-xCOB crystals,” CrystEngComm 18(33), 6205–6212 (2016).
[Crossref]

IEEE J. Quantum Electron. (1)

D. A. Hammons, M. Richardson, B. H. T. Chai, A. K. Chin, and R. Jollay, “Scaling of Longitudinally Diode-Pumped Self-Frequency-Doubling Nd:YCOB Lasers,” IEEE J. Quantum Electron. 36(8), 991–999 (2000).
[Crossref]

J. Cryst. Growth (5)

S. J. Zhang, H. Yang, Z. X. Cheng, X. S. Liu, and H. C. Chen, “Crystal growth, thermal and optical properties of SmCa4O(BO3)3 crystal,” J. Cryst. Growth 208(1-4), 482–486 (2000).
[Crossref]

X. Tu, Y. Zheng, K. Xiong, Y. Shi, and E. Shi, “Crystal growth and characterization of 4 in. YCa4O(BO3)3 crystal,” J. Cryst. Growth 401, 160–163 (2014).
[Crossref]

H. Furuya, M. Yoshimura, T. Kobayashi, K. Murase, Y. Mori, and T. Sasaki, “Crystal growth and characterization of GdxY1-xCa4O(BO3)3 crystal,” J. Cryst. Growth 198, 560–563 (1999).
[Crossref]

Y. Lu and G. F. Wang, “Growth and spectroscopic properties of Nd3+:LaCa4O(BO3)3 crystals,” J. Cryst. Growth 253(1-4), 270–273 (2003).
[Crossref]

Y. T. Fei, B. H. T. Chai, C. A. Ebbers, Z. M. Liao, K. I. Schaffers, and P. Thelin, “Large-aperture YCOB crystal growth for frequency conversion in the high average power laser system,” J. Cryst. Growth 290(1), 301–306 (2006).
[Crossref]

J. Opt. Soc. Am. B (4)

Jpn. J. Appl. Phys. (3)

M. Iwai, T. Kobayashi, H. Furuya, Y. Mori, and T. Sasaki, “Crystal Growth and Optical Characterization of Rare-Earth (Re) Calcium Oxyborate ReCa4(BO3)3 (Re=Y or Gd) as New Nonlinear Optical Material,” Jpn. J. Appl. Phys. 36(2), L276–L279 (1997).
[Crossref]

N. Umemura, H. Nakao, H. Furuya, M. Yoshimura, Y. Mori, T. Sasaki, K. Yoshida, and K. Kato, “90° phase-matching properties of YCa4O(BO3)3 and GdxY1-xCa4O(BO3)3,” Jpn. J. Appl. Phys. 40(2), 596–600 (2001).
[Crossref]

N. Umemura, M. Ando, K. Suzuki, E. Takaoka, K. Kato, M. Yoshimura, Y. Mori, and T. Sasaki, “Temperature insensitive second-harmonic generation at 0.5321 μm in YCa4O(BO3)3,” Jpn. J. Appl. Phys. 42(8), 5040–5042 (2003).
[Crossref]

Laser Photonics Rev. (1)

V. Petrov, M. Ghotbi, O. Kokabee, A. Esteban-Martin, F. Noack, A. Gaydardzhiev, I. Nikolov, P. Tzankov, I. Buchvarov, K. Miyata, A. Majchrowski, I. V. Kityk, F. Rotermund, E. Michalski, and M. Ebrahim-Zadeh, “Femtosecond nonlinear frequency conversion based on BiB3O6,” Laser Photonics Rev. 4(1), 53–98 (2010).
[Crossref]

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Y. Q. Liu, F. P. Yu, H. W. Qi, S. Han, F. Zhang, Z. P. Wang, X. Q. Yu, X. Zhao, and X. G. Xu, “High efficiency angular non-critical phase matching for Ti:sapphire laser realized on LaCa4O(BO3)3 single crystals,” Laser Phys. Lett. 11(9), 095403 (2014).
[Crossref]

Nat. Commun. (1)

L. Cerdán, J. Braborec, I. Garcia-Moreno, A. Costela, and M. G. Londesborough, “A borane laser,” Nat. Commun. 6, 5958 (2015).
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Opt. Commun. (1)

Z. Wang, J. Liu, R. Song, X. Xu, X. Sun, H. Jiang, K. Fu, J. Wang, Y. Liu, J. Wei, and Z. Shao, “The second-harmonic-generation properties of GdCa4O(BO3)3 crystal with various phase-matching directions,” Opt. Commun. 187(4-6), 401–405 (2001).
[Crossref]

Opt. Express (7)

M. T. Andersen, J. L. Mortensen, S. Germershausen, P. Tidemand-Lichtenberg, P. Buchhave, L. Gheorghe, V. Lupei, P. Loiseau, and G. Aka, “First measurement of the nonlinear coefficient for Gd1-xLuxCa4O(BO3)3 and Gd1-xScxCa4O(BO3)3 crystals,” Opt. Express 15(8), 4893–4901 (2007).
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L. Zhang, F. Zhang, M. Xu, Z. Wang, and X. Sun, “Noncritical phase matching fourth harmonic generation properties of KD(2)PO(4) crystals,” Opt. Express 23(18), 23401–23413 (2015).
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M. Thorhauge, J. L. Mortensen, P. Tidemand-Lichtenberg, and P. Buchhave, “Tunable intra-cavity SHG of CW Ti:Sapphire lasers around 785 nm and 810 nm in BiBO-crystals,” Opt. Express 14(6), 2283–2288 (2006).
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X. Ding, R. Wang, H. Zhang, W. Q. Wen, L. Huang, P. Wang, J. Q. Yao, X. Y. Yu, and Z. Li, “Generation of 3.5W high efficiency blue-violet laser by intracavity frequency-doubling of an all-solid-state tunable Ti:sapphire laser,” Opt. Express 16(7), 4582–4587 (2008).
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D. Yuan, Z. Gao, S. Zhang, Z. Jia, J. Shu, Y. Li, Z. Wang, and X. Tao, “Linear and nonlinear optical properties of terbium calcium oxyborate single crystals,” Opt. Express 22(22), 27606–27616 (2014).
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Y. Liu, H. Qi, Q. Lu, F. Yu, Z. Wang, X. Xu, X. Zhao, and X. Zhao, “Type-II second-harmonic-generation properties of YCOB and GdCOB single crystals,” Opt. Express 23(3), 2163–2173 (2015).
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A. Kausas, P. Loiseau, G. Aka, Y. Zheng, L. Zheng, and T. Taira, “Temperature stable operation of YCOB crystal for giant-pulse green microlaser,” Opt. Express 25(6), 6431–6439 (2017).
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Opt. Lett. (4)

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G. Aka and A. Brenier, “Self-frequency conversion in nonlinear laser crystals,” Opt. Mater. 22(2), 89–94 (2003).
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Opt. Mater. Express (2)

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S. Ji, F. Wang, L. Zhu, X. Xu, Z. Wang, and X. Sun, “Non-critical phase-matching fourth harmonic generation of a 1053-nm laser in an ADP crystal,” Sci. Rep. 3(1), 1605 (2013).
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Solid State Commun. (1)

Z. P. Wang, X. G. Xu, K. Fu, R. B. Song, J. Y. Wang, J. Q. Wei, Y. G. Liu, and Z. S. Shao, “Non-critical phase matching of GdxY1-xCa4O(BO3)3 (GdxY1-xCOB) crystal,” Solid State Commun. 120(9-10), 397–400 (2001).
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Figures (7)

Fig. 1
Fig. 1 As-grown RECOB crystals (RE = Tm, Y, Gd, Sm, Nd and La).
Fig. 2
Fig. 2 Transmission spectra of several colored RECOB crystals.
Fig. 3
Fig. 3 Relationships between the crystallographic axes (a, b and c) and the optical principal axes (X, Y and Z) for RECOB crystals.
Fig. 4
Fig. 4 Refractive-index dispersion curves of several RECOB crystals.
Fig. 5
Fig. 5 Variation of birefringence and NCPM SHG wavelength with rare earth ion radius in RECOB crystals.
Fig. 6
Fig. 6 External angular tuning curves of the SHG signals in different RECOB crystals, for the type-I NCPM on Y axis.
Fig. 7
Fig. 7 Wavelength tuning curves of the SHG signals in different RECOB crystals, for the type-I SHG on Y axis.

Tables (10)

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Table 1 Crystal orientation of RECOB crystals

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Table 2 Sellmeier equation coefficients of RECOB crystals

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Table 3 The effective nonlinear optical coefficients deff of RECOB type crystals along different optical principal axes. The values of the NLO coefficients came from Reference [37].

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Table 4 Calculated and measured NCPM SHG wavelength of RECOB crystals

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Table 5 External angular acceptance bandwidth of NCPM SHG in RECOB crystals

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Table 6 Wavelength acceptance bandwidth of NCPM SHG in different RECOB crystals

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Table 7 Temperature acceptance bandwidth of NCPM SHG in YCOB and GdCOB crystals

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Table 8 Angular acceptance bandwidth of NCPM SHG in biaxial NLO crystal

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Table 9 Wavelength acceptance bandwidth of NCPM SHG in biaxial NLO crystal

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Table 10 Temperature acceptance bandwidth of NCPM SHG in biaxial NLO crystals

Equations (66)

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n i 2 = A i + B i λ 2 C i D i λ 2 (i=X,Y,Z)
d 11 d 12 d 13 0 0 0 d 31 d 32 d 33 0 d 31 0 d 32 0 d 12 0 d 13 0
n Z (ω)= n X (2ω)
n Z (ω) 2 n X (ω) 2 = n X (2ω) 2 n X (ω) 2
= B X ( λ 2 ) 2 C X D X ( λ 2 ) 2 ( B X λ 2 C X D X λ 2 )
= 3 B X λ 2 ( λ 2 4 C X )( λ 2 C X ) + 3 4 D X λ 2
Δn(ω)= n Z (ω) n X (ω) 3 B X λ 2 4 C X × 1 n Z (ω)+ n X (ω)
Δn(ω)= n Z (ω) n X (ω) 3 B X λ 2 4 C X
n Z (ω)+ n X (ω) 2 = n X (2ω)
( n Z (ω)+ n X (ω) 2 ) 2 n X (ω) 2 = n X (2ω) 2 n X (ω) 2
( n Z (ω)+ n X (ω) 2 ) 2 n X (ω) 2 3 B X λ 2 4 C X
Δn(ω)= n Z (ω) n X (ω) 3 B X λ 2 4 C X × 4 n Z (ω)+3 n X (ω)
Δn(ω)= n Z (ω) n X (ω) 3 B X λ 2 4 C X
n Y (ω)= n X (2ω)
Δn(ω)= n Y (ω) n X (ω) 3 B X λ 2 4 C X
η= η 0 [ sin( Δk 2 l ) Δk 2 l ] 2
Δk=Δk| ( θ= θ m ,ϕ= ϕ m ) + Δk θ | ( θ= θ m ,ϕ= ϕ m ) Δθ+ 1 2 2 Δk θ 2 | ( θ= θ m ,ϕ= ϕ m ) Δ θ 2
Δk= k 3 k 2 k 1 = 2π λ 3 n 3 2π λ 2 n 2 2π λ 1 n 1
Δk θ = 2π λ 3 n( ω 3 ) θ 2π λ 2 n( ω 2 ) θ 2π λ 1 n( ω 1 ) θ
2 Δk θ 2 = 2π λ 3 2 n( ω 3 ) θ 2 2π λ 2 2 n( ω 2 ) θ 2 2π λ 1 n 2 ( ω 1 ) θ 2
n( ω i )= ( 2 B i ± B i 2 4 C i ) 1 2 i=1,2,3
B i = sin 2 θ cos 2 ϕ[ n y 2 ( ω i )+ n z 2 ( ω i ) ] sin 2 θ sin 2 ϕ[ n x 2 ( ω i )+ n z 2 ( ω i ) ] cos 2 θ[ n x 2 ( ω i )+ n z 2 ( ω i ) ]
C i = sin 2 θ cos 2 ϕ n y 2 ( ω i ) n z 2 ( ω i )+ sin 2 θ sin 2 ϕ n x 2 ( ω i ) n z 2 ( ω i ) + cos 2 θ n x 2 ( ω i ) n z 2 ( ω i )
n i θ = 2 2 ( B i ± B i 2 4 C i ) 3 2 ( B i θ ± B i B i θ 2 C i θ B i 2 4 C i )
2 n i θ 2 = 2 2 { ( B i ± B i 2 4 C i ) 5 2 ( 3 2 ) ( B i θ ± B i B i θ 2 C i θ B i 2 4 C i ) 2 } 2 2 ( B i ± B i 2 4 C i ) 3 2 { 2 B i θ 2 ±[ ( ( B i θ ) 2 + B i 2 B i θ 2 2 2 C i θ 2 ) 1 B i 2 4 C i ( B i B i θ 2 C i θ ) 2 ( B i 2 4 C i ) 3 2 ] }
B i θ =[ n x 2 ( ω i )+ n y 2 ( ω i ) n z 2 ( ω i ) cos 2 ϕ n y 2 ( ω i ) sin 2 ϕ n x 2 ( ω i ) ]sin2θ
2 B i θ 2 =[ n x 2 ( ω i )+ n y 2 ( ω i ) n z 2 ( ω i ) cos 2 ϕ n y 2 ( ω i ) sin 2 ϕ n x 2 ( ω i ) ]2cos2θ
C i θ =[ n y 2 ( ω i ) n z 2 ( ω i ) cos 2 ϕ+ n x 2 ( ω i ) n z 2 ( ω i ) sin 2 ϕ n x 2 ( ω i ) n y 2 ( ω i ) ]sin2θ
2 C i θ 2 =[ n y 2 ( ω i ) n z 2 ( ω i ) cos 2 ϕ+ n x 2 ( ω i ) n z 2 ( ω i ) sin 2 ϕ n x 2 ( ω i ) n y 2 ( ω i ) ]2cos2θ
Δk= 1 2 2 Δk θ 2 | (θ= θ m ,φ= φ m ) Δ θ 2 =± π l
Δθ l 1 2 = [ 4π/ 2 Δk θ 2 | (θ= θ m ,φ= φ m ) ] 1 2
2 n i θ 2 = 2 [ n x 2 ( ω i )+ n z 2 ( ω i )±( n x 2 ( ω i ) n z 2 ( ω i ) ) ] 3 2 [ n y 2 ( ω i ) n z 2 ( ω i )±( n z 2 ( ω i ) n y 2 ( ω i ) ) ]
2 n 1 θ 2 = 2 n 2 θ 2 = n z 3 ( ω 1 )( n y 2 ( ω 1 ) n z 2 ( ω 1 ) )i=1,2
2 n 3 θ 2 =0 i= 3
Δθ l 1 2 =10 λ 1 2 n z 3 ( ω 1 )( n y 2 ( ω 1 ) n z 2 ( ω 1 )) (mradc m 1 2 )
1 λ 1 + 1 λ 2 = 1 λ 3
1 λ 1 +Δ λ 1 + 1 λ 2 +Δ λ 2 = 1 λ 3 +Δ λ 3
Δ λ 3 = ( λ 1 +Δ λ 1 )( λ 2 +Δ λ 2 ) λ 1 +Δ λ 1 + λ 2 +Δ λ 2 λ 3
Δk=Δk| λ 1 = λ 10 + Δk λ 1 | λ 1 = λ 10 Δ λ 1 + 1 2 2 Δk λ 1 2 | λ 1 = λ 10 (Δ λ 1) 2 +
Δk= Δk λ 1 | λ 1 = λ 10 Δ λ 1
Δk= K 3 K 2 K 1 = 2π λ 3 n 3 2π λ 2 n 2 2π λ 1 n 1
Δk λ 1 =2π{ [ n 3 λ 1 λ 3 + n 3 ( 1 λ 3 2 λ 3 λ 1 ) ][ n 2 λ 1 λ 2 + n 2 ( 1 λ 2 2 λ 2 λ 1 ) ][ n 1 λ 1 λ 1 + n 1 ( 1 λ 1 2 λ 1 λ 1 ) ] }
Δk λ 1 =2π( 2 n 3 λ 1 n 2 λ 1 n 1 λ 1 λ 1 2 n 3 n 2 n 1 λ 1 2 )
Δk λ 1 = 2π λ 1 ( 2 n 3 λ 1 n 2 λ 1 n 1 λ 1 )
n j 2 ( ω i )= A j + B j λ i 2 C j D j λ i 2 j=X,Y,Z i=1,2,3
n j ( ω i ) λ 1 = B j ( λ i 2 C j ) 2 D j A j + B j λ i 2 C j D j λ i 2 λ i λ i λ 1
Δk= Δk λ 1 | λ 1 = λ 10 Δ λ 1 =± π l
Δ λ 1 l=2π| ( Δk λ 1 | λ 1 = λ 10 ) 1 |
n Z ( ω 1 ) λ 1 = n Z ( ω 2 ) λ 1 = B Z ( λ 1 2 C Z ) 2 D Z A Z + B Z λ 1 2 C Z D Z λ 1 2 λ 1
n X ( ω 3 ) λ 1 = B X ( λ 3 2 C X ) 2 D X A X + B X λ 3 2 C X D X λ 3 2 ( λ 3 2 )
Δk λ 1 = 2π λ 1 ( B X ( λ 3 2 C X ) 2 D X A X + B X λ 3 2 C X D X λ 3 2 λ 3 2 B Z ( λ 1 2 C Z ) 2 D Z A Z + B Z λ 1 2 C Z D Z λ 1 2 λ 1 )
= 2π λ 1 ( B X ( λ 3 2 C X ) 2 D X n X ( ω 3 ) λ 3 2 B Z ( λ 1 2 C Z ) 2 D Z n Z ( ω 1 ) λ 1 )
=π[4 B Z ( λ 1 2 C Z ) 2 + D Z n Z ( ω 1 ) B X ( λ 3 2 C X ) 2 + D X n X ( ω 3 ) ]
Δ λ 1 l=2| [4 B Z ( λ 1 2 C Z ) 2 + D Z n Z ( ω 1 ) B X ( λ 3 2 C X ) 2 + D X n X ( ω 3 ) ] 1 | λ 1 = λ 10 |
=2| [4 B Z ( λ 10 2 C Z ) 2 + D Z n Z ( ω 10 ) 16 B X ( λ 10 2 4 C X ) 2 + D X n X ( ω 30 ) ] 1 |
=2| [ 4 B Z ( λ 10 2 C Z ) 2 +4 D Z 16 B X ( λ 10 2 4 C X ) 2 D X n Z ( λ 10 ) ] 1 |
n X (λ)= n 0X (λ)+ n X (λ) T ΔT
n Y (λ)= n 0Y (λ)+ n Y (λ) T ΔT
n Z (λ)= n 0Z (λ)+ n Z (λ) T ΔT
Δk= k 3 k 2 k 1 = 2π λ 3 n 3 2π λ 2 n 2 2π λ 1 n 1
Δk T = 2π λ 3 n 3 T 2π λ 2 n 2 T 2π λ 1 n 1 T
Δk T = 2π λ 1 (2 n 3 T n 2 T n 1 T )
Δk= Δk T | T= T 0 ΔT
ΔTl=2π| ( Δk T | T= T 0 ) 1 |
= λ 1 2 n 3 T n 2 T n 1 T
ΔTl= λ 1 2[ n X ( λ 3 ) T n Z ( λ 1 ) T ]

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