Abstract

We report on experimental and theoretical studies of Čerenkov-type second-harmonic generation in random nonlinear photonic structures with different two-dimensional distributions of the ferroelectric domains. We utilize Čerenkov-type second-harmonic generation spectroscopy to estimate the average ferroelectric domain size by analyzing the spatial Fourier spectrum of the domain patterns. This is measured by scanning the Čerenkov second-harmonic signal for different angles of incidence and light polarizations of the fundamental wave. By comparing the experimental results with numerically simulated Fourier spectra, the corresponding domain patterns are retrieved, which are in a good correspondence with images obtained by Čerenkov-type second-harmonic generation microscopy.

© 2013 OSA

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    [CrossRef]
  2. E. Y. Morozov, A. A. Kaminski, A. S. Chirkin, and D. B. Yusupov, “Second optical harmonic generation in nonlinear crystals with a disordered domain structure,” JETP Lett.73, 647–650 (2001).
    [CrossRef]
  3. M. Baudrier-Raybaut, R. Haidar, P. Kupecek, P. Lemasson, and E. Rosencher, “Random quasi-phase-matching in bulk polycrystalline isotropic nonlinear materials,” Nature432, 374–376 (2004).
    [CrossRef] [PubMed]
  4. K. A. Kuznetsov, G. K. Kitaeva, A. V. Shevlyuga, L. I. Ivleva, and T. R. Volk, “Second harmonic generation in a strontium barium niobate crystal with a random domain structure,” JETP Letters87, 98–102 (2008).
    [CrossRef]
  5. P. Molina, S. Álvarez García, M. O. Ramírez, J. García-Solé, L. E. Bausá, H. Zhang, W. Gao, J. Wang, and M. Jiang, “Nonlinear prism based on the natural ferroelectric domain structure in calcium barium niobate,” Appl. Phys. Lett.94, 071111(1)–071111(3) (2009).
    [CrossRef]
  6. K. Kalinowski, V. Roppo, T. Lukasiewicz, M. Swirkowicz, Y. Sheng, and W. Krolikowski, “Parametric wave interaction in one-dimensional nonlinear photonic crystal with randomized distribution of second-order nonlinearity,” Appl. Phys. B109, 557–566 (2012).
    [CrossRef]
  7. R. Fischer, S. M. Saltiel, D. N. Neshev, W. Krolikowski, and Y. S. Kivshar, “Broadband femtosecond frequency doubling in random media,” Appl. Phys. Lett.89, 191105(1)–191105(3) (2006).
    [CrossRef]
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    [CrossRef]
  11. X. Vidal and J. Martorell, “Generation of light in media with a random distribution of nonlinear domains,” Phys. Rev. Lett.97, 013902(1)–013902(4) (2006).
    [CrossRef]
  12. P. Molina, M. de la O Ramírez, and L. E. Bausá, “Strontium barium niobate as a multifunctional two-dimensional nonlinear photonic glass,” Adv. Funct. Mater.18, 709–715 (2008).
    [CrossRef]
  13. V. Vaičaitis, “Cherenkov-type phase matching in bulk KDP crystal,” Opt. Commun.209, 485–490 (2002).
    [CrossRef]
  14. Y. Zhang, X. P. Hu, G. Zhao, S. N. Zhu, and M. Xiao, “Cerenkov second-harmonic arc from a hexagonally poled LiTaO3 planar waveguide,” J. Phys. D42, 215103–215107 (2009).
    [CrossRef]
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    [CrossRef]
  16. X. Deng, H. Ren, H. Lao, and X. Chen, “Research on Cherenkov second-harmonic generation in periodically poled lithium niobate by femtosecond pulses,” J. Opt. Soc. Am. B27, 1475–1480 (2010).
    [CrossRef]
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    [CrossRef]
  20. Y. Sheng, A. Best, H.-J. Butt, W. Krolikowski, A. Arie, and K. Koynov, “Three-dimensional ferroelectric domain visualization by cerenkov-type second harmonic generation,” Opt. Express18, 16539–16545 (2010).
    [CrossRef] [PubMed]
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  22. M. Ayoub, P. Roedig, J. Imbrock, and C. Denz, “Domain-shape-based modulation of Čerenkov second-harmonic generation in multidomain strontium barium niobate,” Opt. Lett.36, 4371–4373 (2011).
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  26. K. Kalinowski, P. Roedig, Y. Sheng, M. Ayoub, J. Imbrock, C. Denz, and W. Krolikowski, “Enhanced Čerenkov second-harmonic emission in nonlinear photonic structures,” Opt. Lett.37, 1832–1834 (2012).
    [CrossRef] [PubMed]
  27. A. Fragemann, V. Pasiskevicius, and F. Laurell, “Second-order nonlinearities in the domain walls of periodically poled KTiOPO4,” Appl. Phys. Lett.85, 375–377 (2004).
    [CrossRef]
  28. S. M. Russell, P. E. Powers, M. J. Missey, and K. L. Schepler, “Broadband mid-infrared generation with two-dimensional quasi-phase-matched structures,” J. Quantum Electronics37, 877–887 (2001).
    [CrossRef]
  29. A. Arie and N. Voloch, “Periodic, quasi-periodic, and random quadratic nonlinear photonic crystals,” Laser and Photon. Rev.4, 355373 (2010).
    [CrossRef]
  30. M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-phase-matched second harmonic generation: Tuning and tolerances,” IEEE J. Quantum. Electron.28, 2631–2654 (1992).
    [CrossRef]
  31. Y. Le Grand, D. Rouede, C. Odin, R. Aubry, and S. Mattauch, “Second-harmonic scattering by domains in RbH2PO4 ferroelectrics,” Opt. Commun.200, 249–260 (2001).
    [CrossRef]
  32. U. Voelker, U. Heine, C. Gödecker, and K. Betzler, “Domain size effects in a uniaxial ferroelectric relaxor system: The case of SrxBa1−xNb2O6,” J. Appl. Phys.102, 114112(1)–114112(5) (2007).
    [CrossRef]
  33. L. Tian, D. A. Scrymgeour, and V. Gopalan, “Real-time study of domain dynamics in ferroelectric Sr0.61Ba0.39Nb2O6,” J. Appl. Phys.97, 114111(1)–114111(7) (2005).
  34. M. Horowitz, A. Bekker, and B. Fischer, “Broadband second-harmonic generation in SrxBa1xNb2O6 by spread spectrum phase matching with controllable domain gratings,” Appl. Phys. Lett.62, 2619–2621 (1993).
    [CrossRef]

2012

K. Kalinowski, V. Roppo, T. Lukasiewicz, M. Swirkowicz, Y. Sheng, and W. Krolikowski, “Parametric wave interaction in one-dimensional nonlinear photonic crystal with randomized distribution of second-order nonlinearity,” Appl. Phys. B109, 557–566 (2012).
[CrossRef]

H. X. Li, S. Y. Mu, P. Xu, M. L. Zhong, C. D. Chen, X. P. Hu, W. N. Cui, and S. N. Zhu, “Multicolor cerenkov conical beams generation by cascaded-χ(2) processes in radially poled nonlinear photonic crystals,” Appl. Phys. Lett.100, 101101(1)–101101(4) (2012).

K. Kalinowski, P. Roedig, Y. Sheng, M. Ayoub, J. Imbrock, C. Denz, and W. Krolikowski, “Enhanced Čerenkov second-harmonic emission in nonlinear photonic structures,” Opt. Lett.37, 1832–1834 (2012).
[CrossRef] [PubMed]

2011

2010

2009

Y. Zhang, X. P. Hu, G. Zhao, S. N. Zhu, and M. Xiao, “Cerenkov second-harmonic arc from a hexagonally poled LiTaO3 planar waveguide,” J. Phys. D42, 215103–215107 (2009).
[CrossRef]

S. M. Saltiel, Y. Sheng, N. Voloch-Bloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, “Cerenkov-type second-harmonic generation in two-dimensional nonlinear photonic structures,” IEEE J. Quantum. Electron.45, 1465–1472 (2009).
[CrossRef]

P. Molina, S. Álvarez García, M. O. Ramírez, J. García-Solé, L. E. Bausá, H. Zhang, W. Gao, J. Wang, and M. Jiang, “Nonlinear prism based on the natural ferroelectric domain structure in calcium barium niobate,” Appl. Phys. Lett.94, 071111(1)–071111(3) (2009).
[CrossRef]

W. Wang, V. Roppo, K. Kalinowski, Y. Kong, D. N. Neshev, C. Cojocaru, J. Trull, R. Vilaseca, K. Staliunas, W. Krolikowski, S. M. Saltiel, and Y. Kivshar, “Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media,” Optics Express17, 20117–20123 (2009).
[CrossRef] [PubMed]

2008

K. A. Kuznetsov, G. K. Kitaeva, A. V. Shevlyuga, L. I. Ivleva, and T. R. Volk, “Second harmonic generation in a strontium barium niobate crystal with a random domain structure,” JETP Letters87, 98–102 (2008).
[CrossRef]

P. Molina, M. de la O Ramírez, and L. E. Bausá, “Strontium barium niobate as a multifunctional two-dimensional nonlinear photonic glass,” Adv. Funct. Mater.18, 709–715 (2008).
[CrossRef]

2007

U. Voelker, U. Heine, C. Gödecker, and K. Betzler, “Domain size effects in a uniaxial ferroelectric relaxor system: The case of SrxBa1−xNb2O6,” J. Appl. Phys.102, 114112(1)–114112(5) (2007).
[CrossRef]

2006

X. Vidal and J. Martorell, “Generation of light in media with a random distribution of nonlinear domains,” Phys. Rev. Lett.97, 013902(1)–013902(4) (2006).
[CrossRef]

R. Fischer, S. M. Saltiel, D. N. Neshev, W. Krolikowski, and Y. S. Kivshar, “Broadband femtosecond frequency doubling in random media,” Appl. Phys. Lett.89, 191105(1)–191105(3) (2006).
[CrossRef]

2005

L. Tian, D. A. Scrymgeour, and V. Gopalan, “Real-time study of domain dynamics in ferroelectric Sr0.61Ba0.39Nb2O6,” J. Appl. Phys.97, 114111(1)–114111(7) (2005).

2004

A. Fragemann, V. Pasiskevicius, and F. Laurell, “Second-order nonlinearities in the domain walls of periodically poled KTiOPO4,” Appl. Phys. Lett.85, 375–377 (2004).
[CrossRef]

M. Baudrier-Raybaut, R. Haidar, P. Kupecek, P. Lemasson, and E. Rosencher, “Random quasi-phase-matching in bulk polycrystalline isotropic nonlinear materials,” Nature432, 374–376 (2004).
[CrossRef] [PubMed]

2003

A. R. Tunyagi, M. Ulex, and K. Betzler, “Noncollinear optical frequency doubling in strontium barium niobate,” Phys. Rev. Lett.90, 243901(1)–243901(4) (2003).
[CrossRef]

2002

V. Vaičaitis, “Cherenkov-type phase matching in bulk KDP crystal,” Opt. Commun.209, 485–490 (2002).
[CrossRef]

2001

E. Y. Morozov, A. A. Kaminski, A. S. Chirkin, and D. B. Yusupov, “Second optical harmonic generation in nonlinear crystals with a disordered domain structure,” JETP Lett.73, 647–650 (2001).
[CrossRef]

S. M. Russell, P. E. Powers, M. J. Missey, and K. L. Schepler, “Broadband mid-infrared generation with two-dimensional quasi-phase-matched structures,” J. Quantum Electronics37, 877–887 (2001).
[CrossRef]

Y. Le Grand, D. Rouede, C. Odin, R. Aubry, and S. Mattauch, “Second-harmonic scattering by domains in RbH2PO4 ferroelectrics,” Opt. Commun.200, 249–260 (2001).
[CrossRef]

1998

S. Kawai, T. Ogawa, H. S. Lee, R. C. DeMattei, and R. S. Feigelson, “Second-harmonic generation from needle-like ferroelectric domains in Sr0.6Ba0.4Nd2O6 single crystals,” Appl. Phys. Lett.73, 768–770 (1998).
[CrossRef]

1993

M. Horowitz, A. Bekker, and B. Fischer, “Broadband second-harmonic generation in SrxBa1xNb2O6 by spread spectrum phase matching with controllable domain gratings,” Appl. Phys. Lett.62, 2619–2621 (1993).
[CrossRef]

1992

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-phase-matched second harmonic generation: Tuning and tolerances,” IEEE J. Quantum. Electron.28, 2631–2654 (1992).
[CrossRef]

Álvarez García, S.

P. Molina, S. Álvarez García, M. O. Ramírez, J. García-Solé, L. E. Bausá, H. Zhang, W. Gao, J. Wang, and M. Jiang, “Nonlinear prism based on the natural ferroelectric domain structure in calcium barium niobate,” Appl. Phys. Lett.94, 071111(1)–071111(3) (2009).
[CrossRef]

Arie, A.

Y. Sheng, A. Best, H.-J. Butt, W. Krolikowski, A. Arie, and K. Koynov, “Three-dimensional ferroelectric domain visualization by cerenkov-type second harmonic generation,” Opt. Express18, 16539–16545 (2010).
[CrossRef] [PubMed]

A. Arie and N. Voloch, “Periodic, quasi-periodic, and random quadratic nonlinear photonic crystals,” Laser and Photon. Rev.4, 355373 (2010).
[CrossRef]

S. M. Saltiel, Y. Sheng, N. Voloch-Bloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, “Cerenkov-type second-harmonic generation in two-dimensional nonlinear photonic structures,” IEEE J. Quantum. Electron.45, 1465–1472 (2009).
[CrossRef]

Aubry, R.

Y. Le Grand, D. Rouede, C. Odin, R. Aubry, and S. Mattauch, “Second-harmonic scattering by domains in RbH2PO4 ferroelectrics,” Opt. Commun.200, 249–260 (2001).
[CrossRef]

Ayoub, M.

Baudrier-Raybaut, M.

M. Baudrier-Raybaut, R. Haidar, P. Kupecek, P. Lemasson, and E. Rosencher, “Random quasi-phase-matching in bulk polycrystalline isotropic nonlinear materials,” Nature432, 374–376 (2004).
[CrossRef] [PubMed]

Bausá, L. E.

P. Molina, S. Álvarez García, M. O. Ramírez, J. García-Solé, L. E. Bausá, H. Zhang, W. Gao, J. Wang, and M. Jiang, “Nonlinear prism based on the natural ferroelectric domain structure in calcium barium niobate,” Appl. Phys. Lett.94, 071111(1)–071111(3) (2009).
[CrossRef]

P. Molina, M. de la O Ramírez, and L. E. Bausá, “Strontium barium niobate as a multifunctional two-dimensional nonlinear photonic glass,” Adv. Funct. Mater.18, 709–715 (2008).
[CrossRef]

Bekker, A.

M. Horowitz, A. Bekker, and B. Fischer, “Broadband second-harmonic generation in SrxBa1xNb2O6 by spread spectrum phase matching with controllable domain gratings,” Appl. Phys. Lett.62, 2619–2621 (1993).
[CrossRef]

Best, A.

Betzler, K.

U. Voelker, U. Heine, C. Gödecker, and K. Betzler, “Domain size effects in a uniaxial ferroelectric relaxor system: The case of SrxBa1−xNb2O6,” J. Appl. Phys.102, 114112(1)–114112(5) (2007).
[CrossRef]

A. R. Tunyagi, M. Ulex, and K. Betzler, “Noncollinear optical frequency doubling in strontium barium niobate,” Phys. Rev. Lett.90, 243901(1)–243901(4) (2003).
[CrossRef]

Bravo-Abad, J.

Butt, H.-J.

Byer, R. L.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-phase-matched second harmonic generation: Tuning and tolerances,” IEEE J. Quantum. Electron.28, 2631–2654 (1992).
[CrossRef]

Chen, C. D.

H. X. Li, S. Y. Mu, P. Xu, M. L. Zhong, C. D. Chen, X. P. Hu, W. N. Cui, and S. N. Zhu, “Multicolor cerenkov conical beams generation by cascaded-χ(2) processes in radially poled nonlinear photonic crystals,” Appl. Phys. Lett.100, 101101(1)–101101(4) (2012).

Chen, X.

X. Deng and X. Chen, “Domain wall characterization in ferroelectrics by using localized nonlinearities,” Opt. Express18, 15599–15602 (2010).
[CrossRef]

X. Deng, H. Ren, H. Lao, and X. Chen, “Research on Cherenkov second-harmonic generation in periodically poled lithium niobate by femtosecond pulses,” J. Opt. Soc. Am. B27, 1475–1480 (2010).
[CrossRef]

H. Ren, X. Deng, and X. Chen, “Coherently superposed efficient second harmonic generation by domain wall series in ferroelectrics,” arxiv:1010.1593v1 (2010).

Chirkin, A. S.

E. Y. Morozov, A. A. Kaminski, A. S. Chirkin, and D. B. Yusupov, “Second optical harmonic generation in nonlinear crystals with a disordered domain structure,” JETP Lett.73, 647–650 (2001).
[CrossRef]

Cojocaru, C.

W. Wang, V. Roppo, K. Kalinowski, Y. Kong, D. N. Neshev, C. Cojocaru, J. Trull, R. Vilaseca, K. Staliunas, W. Krolikowski, S. M. Saltiel, and Y. Kivshar, “Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media,” Optics Express17, 20117–20123 (2009).
[CrossRef] [PubMed]

Cui, W. N.

H. X. Li, S. Y. Mu, P. Xu, M. L. Zhong, C. D. Chen, X. P. Hu, W. N. Cui, and S. N. Zhu, “Multicolor cerenkov conical beams generation by cascaded-χ(2) processes in radially poled nonlinear photonic crystals,” Appl. Phys. Lett.100, 101101(1)–101101(4) (2012).

de la O Ramírez, M.

P. Molina, M. de la O Ramírez, and L. E. Bausá, “Strontium barium niobate as a multifunctional two-dimensional nonlinear photonic glass,” Adv. Funct. Mater.18, 709–715 (2008).
[CrossRef]

DeMattei, R. C.

S. Kawai, T. Ogawa, H. S. Lee, R. C. DeMattei, and R. S. Feigelson, “Second-harmonic generation from needle-like ferroelectric domains in Sr0.6Ba0.4Nd2O6 single crystals,” Appl. Phys. Lett.73, 768–770 (1998).
[CrossRef]

Deng, X.

X. Deng and X. Chen, “Domain wall characterization in ferroelectrics by using localized nonlinearities,” Opt. Express18, 15599–15602 (2010).
[CrossRef]

X. Deng, H. Ren, H. Lao, and X. Chen, “Research on Cherenkov second-harmonic generation in periodically poled lithium niobate by femtosecond pulses,” J. Opt. Soc. Am. B27, 1475–1480 (2010).
[CrossRef]

H. Ren, X. Deng, and X. Chen, “Coherently superposed efficient second harmonic generation by domain wall series in ferroelectrics,” arxiv:1010.1593v1 (2010).

Denz, C.

Feigelson, R. S.

S. Kawai, T. Ogawa, H. S. Lee, R. C. DeMattei, and R. S. Feigelson, “Second-harmonic generation from needle-like ferroelectric domains in Sr0.6Ba0.4Nd2O6 single crystals,” Appl. Phys. Lett.73, 768–770 (1998).
[CrossRef]

Fejer, M. M.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-phase-matched second harmonic generation: Tuning and tolerances,” IEEE J. Quantum. Electron.28, 2631–2654 (1992).
[CrossRef]

Fischer, B.

M. Horowitz, A. Bekker, and B. Fischer, “Broadband second-harmonic generation in SrxBa1xNb2O6 by spread spectrum phase matching with controllable domain gratings,” Appl. Phys. Lett.62, 2619–2621 (1993).
[CrossRef]

Fischer, R.

R. Fischer, S. M. Saltiel, D. N. Neshev, W. Krolikowski, and Y. S. Kivshar, “Broadband femtosecond frequency doubling in random media,” Appl. Phys. Lett.89, 191105(1)–191105(3) (2006).
[CrossRef]

Fragemann, A.

A. Fragemann, V. Pasiskevicius, and F. Laurell, “Second-order nonlinearities in the domain walls of periodically poled KTiOPO4,” Appl. Phys. Lett.85, 375–377 (2004).
[CrossRef]

Gao, W.

P. Molina, S. Álvarez García, M. O. Ramírez, J. García-Solé, L. E. Bausá, H. Zhang, W. Gao, J. Wang, and M. Jiang, “Nonlinear prism based on the natural ferroelectric domain structure in calcium barium niobate,” Appl. Phys. Lett.94, 071111(1)–071111(3) (2009).
[CrossRef]

García-Solé, J.

P. Molina, S. Álvarez García, M. O. Ramírez, J. García-Solé, L. E. Bausá, H. Zhang, W. Gao, J. Wang, and M. Jiang, “Nonlinear prism based on the natural ferroelectric domain structure in calcium barium niobate,” Appl. Phys. Lett.94, 071111(1)–071111(3) (2009).
[CrossRef]

Gödecker, C.

U. Voelker, U. Heine, C. Gödecker, and K. Betzler, “Domain size effects in a uniaxial ferroelectric relaxor system: The case of SrxBa1−xNb2O6,” J. Appl. Phys.102, 114112(1)–114112(5) (2007).
[CrossRef]

Gopalan, V.

L. Tian, D. A. Scrymgeour, and V. Gopalan, “Real-time study of domain dynamics in ferroelectric Sr0.61Ba0.39Nb2O6,” J. Appl. Phys.97, 114111(1)–114111(7) (2005).

Haidar, R.

M. Baudrier-Raybaut, R. Haidar, P. Kupecek, P. Lemasson, and E. Rosencher, “Random quasi-phase-matching in bulk polycrystalline isotropic nonlinear materials,” Nature432, 374–376 (2004).
[CrossRef] [PubMed]

Heine, U.

U. Voelker, U. Heine, C. Gödecker, and K. Betzler, “Domain size effects in a uniaxial ferroelectric relaxor system: The case of SrxBa1−xNb2O6,” J. Appl. Phys.102, 114112(1)–114112(5) (2007).
[CrossRef]

Horowitz, M.

M. Horowitz, A. Bekker, and B. Fischer, “Broadband second-harmonic generation in SrxBa1xNb2O6 by spread spectrum phase matching with controllable domain gratings,” Appl. Phys. Lett.62, 2619–2621 (1993).
[CrossRef]

Hu, X. P.

H. X. Li, S. Y. Mu, P. Xu, M. L. Zhong, C. D. Chen, X. P. Hu, W. N. Cui, and S. N. Zhu, “Multicolor cerenkov conical beams generation by cascaded-χ(2) processes in radially poled nonlinear photonic crystals,” Appl. Phys. Lett.100, 101101(1)–101101(4) (2012).

Y. Zhang, X. P. Hu, G. Zhao, S. N. Zhu, and M. Xiao, “Cerenkov second-harmonic arc from a hexagonally poled LiTaO3 planar waveguide,” J. Phys. D42, 215103–215107 (2009).
[CrossRef]

Imbrock, J.

Ivleva, L. I.

K. A. Kuznetsov, G. K. Kitaeva, A. V. Shevlyuga, L. I. Ivleva, and T. R. Volk, “Second harmonic generation in a strontium barium niobate crystal with a random domain structure,” JETP Letters87, 98–102 (2008).
[CrossRef]

Jelley, J. V.

J. V. Jelley, Čerenkov Radiation and its Application (Pergamon Press, 1958).

Jiang, M.

P. Molina, S. Álvarez García, M. O. Ramírez, J. García-Solé, L. E. Bausá, H. Zhang, W. Gao, J. Wang, and M. Jiang, “Nonlinear prism based on the natural ferroelectric domain structure in calcium barium niobate,” Appl. Phys. Lett.94, 071111(1)–071111(3) (2009).
[CrossRef]

Jundt, D. H.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-phase-matched second harmonic generation: Tuning and tolerances,” IEEE J. Quantum. Electron.28, 2631–2654 (1992).
[CrossRef]

Jurez, J. L. D.

Kalinowski, K.

K. Kalinowski, P. Roedig, Y. Sheng, M. Ayoub, J. Imbrock, C. Denz, and W. Krolikowski, “Enhanced Čerenkov second-harmonic emission in nonlinear photonic structures,” Opt. Lett.37, 1832–1834 (2012).
[CrossRef] [PubMed]

K. Kalinowski, V. Roppo, T. Lukasiewicz, M. Swirkowicz, Y. Sheng, and W. Krolikowski, “Parametric wave interaction in one-dimensional nonlinear photonic crystal with randomized distribution of second-order nonlinearity,” Appl. Phys. B109, 557–566 (2012).
[CrossRef]

W. Wang, V. Roppo, K. Kalinowski, Y. Kong, D. N. Neshev, C. Cojocaru, J. Trull, R. Vilaseca, K. Staliunas, W. Krolikowski, S. M. Saltiel, and Y. Kivshar, “Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media,” Optics Express17, 20117–20123 (2009).
[CrossRef] [PubMed]

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E. Y. Morozov, A. A. Kaminski, A. S. Chirkin, and D. B. Yusupov, “Second optical harmonic generation in nonlinear crystals with a disordered domain structure,” JETP Lett.73, 647–650 (2001).
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S. Kawai, T. Ogawa, H. S. Lee, R. C. DeMattei, and R. S. Feigelson, “Second-harmonic generation from needle-like ferroelectric domains in Sr0.6Ba0.4Nd2O6 single crystals,” Appl. Phys. Lett.73, 768–770 (1998).
[CrossRef]

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K. A. Kuznetsov, G. K. Kitaeva, A. V. Shevlyuga, L. I. Ivleva, and T. R. Volk, “Second harmonic generation in a strontium barium niobate crystal with a random domain structure,” JETP Letters87, 98–102 (2008).
[CrossRef]

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W. Wang, V. Roppo, K. Kalinowski, Y. Kong, D. N. Neshev, C. Cojocaru, J. Trull, R. Vilaseca, K. Staliunas, W. Krolikowski, S. M. Saltiel, and Y. Kivshar, “Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media,” Optics Express17, 20117–20123 (2009).
[CrossRef] [PubMed]

Kivshar, Y. S.

S. M. Saltiel, Y. Sheng, N. Voloch-Bloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, “Cerenkov-type second-harmonic generation in two-dimensional nonlinear photonic structures,” IEEE J. Quantum. Electron.45, 1465–1472 (2009).
[CrossRef]

R. Fischer, S. M. Saltiel, D. N. Neshev, W. Krolikowski, and Y. S. Kivshar, “Broadband femtosecond frequency doubling in random media,” Appl. Phys. Lett.89, 191105(1)–191105(3) (2006).
[CrossRef]

Kong, Y.

W. Wang, V. Roppo, K. Kalinowski, Y. Kong, D. N. Neshev, C. Cojocaru, J. Trull, R. Vilaseca, K. Staliunas, W. Krolikowski, S. M. Saltiel, and Y. Kivshar, “Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media,” Optics Express17, 20117–20123 (2009).
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Koynov, K.

Y. Sheng, A. Best, H.-J. Butt, W. Krolikowski, A. Arie, and K. Koynov, “Three-dimensional ferroelectric domain visualization by cerenkov-type second harmonic generation,” Opt. Express18, 16539–16545 (2010).
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S. M. Saltiel, Y. Sheng, N. Voloch-Bloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, “Cerenkov-type second-harmonic generation in two-dimensional nonlinear photonic structures,” IEEE J. Quantum. Electron.45, 1465–1472 (2009).
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Krolikowski, W.

K. Kalinowski, P. Roedig, Y. Sheng, M. Ayoub, J. Imbrock, C. Denz, and W. Krolikowski, “Enhanced Čerenkov second-harmonic emission in nonlinear photonic structures,” Opt. Lett.37, 1832–1834 (2012).
[CrossRef] [PubMed]

K. Kalinowski, V. Roppo, T. Lukasiewicz, M. Swirkowicz, Y. Sheng, and W. Krolikowski, “Parametric wave interaction in one-dimensional nonlinear photonic crystal with randomized distribution of second-order nonlinearity,” Appl. Phys. B109, 557–566 (2012).
[CrossRef]

Y. Sheng, A. Best, H.-J. Butt, W. Krolikowski, A. Arie, and K. Koynov, “Three-dimensional ferroelectric domain visualization by cerenkov-type second harmonic generation,” Opt. Express18, 16539–16545 (2010).
[CrossRef] [PubMed]

W. Wang, V. Roppo, K. Kalinowski, Y. Kong, D. N. Neshev, C. Cojocaru, J. Trull, R. Vilaseca, K. Staliunas, W. Krolikowski, S. M. Saltiel, and Y. Kivshar, “Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media,” Optics Express17, 20117–20123 (2009).
[CrossRef] [PubMed]

S. M. Saltiel, Y. Sheng, N. Voloch-Bloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, “Cerenkov-type second-harmonic generation in two-dimensional nonlinear photonic structures,” IEEE J. Quantum. Electron.45, 1465–1472 (2009).
[CrossRef]

R. Fischer, S. M. Saltiel, D. N. Neshev, W. Krolikowski, and Y. S. Kivshar, “Broadband femtosecond frequency doubling in random media,” Appl. Phys. Lett.89, 191105(1)–191105(3) (2006).
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M. Baudrier-Raybaut, R. Haidar, P. Kupecek, P. Lemasson, and E. Rosencher, “Random quasi-phase-matching in bulk polycrystalline isotropic nonlinear materials,” Nature432, 374–376 (2004).
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K. A. Kuznetsov, G. K. Kitaeva, A. V. Shevlyuga, L. I. Ivleva, and T. R. Volk, “Second harmonic generation in a strontium barium niobate crystal with a random domain structure,” JETP Letters87, 98–102 (2008).
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Lao, H.

Laurell, F.

A. Fragemann, V. Pasiskevicius, and F. Laurell, “Second-order nonlinearities in the domain walls of periodically poled KTiOPO4,” Appl. Phys. Lett.85, 375–377 (2004).
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Y. Le Grand, D. Rouede, C. Odin, R. Aubry, and S. Mattauch, “Second-harmonic scattering by domains in RbH2PO4 ferroelectrics,” Opt. Commun.200, 249–260 (2001).
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S. Kawai, T. Ogawa, H. S. Lee, R. C. DeMattei, and R. S. Feigelson, “Second-harmonic generation from needle-like ferroelectric domains in Sr0.6Ba0.4Nd2O6 single crystals,” Appl. Phys. Lett.73, 768–770 (1998).
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M. Baudrier-Raybaut, R. Haidar, P. Kupecek, P. Lemasson, and E. Rosencher, “Random quasi-phase-matching in bulk polycrystalline isotropic nonlinear materials,” Nature432, 374–376 (2004).
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H. X. Li, S. Y. Mu, P. Xu, M. L. Zhong, C. D. Chen, X. P. Hu, W. N. Cui, and S. N. Zhu, “Multicolor cerenkov conical beams generation by cascaded-χ(2) processes in radially poled nonlinear photonic crystals,” Appl. Phys. Lett.100, 101101(1)–101101(4) (2012).

Lukasiewicz, T.

K. Kalinowski, V. Roppo, T. Lukasiewicz, M. Swirkowicz, Y. Sheng, and W. Krolikowski, “Parametric wave interaction in one-dimensional nonlinear photonic crystal with randomized distribution of second-order nonlinearity,” Appl. Phys. B109, 557–566 (2012).
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M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-phase-matched second harmonic generation: Tuning and tolerances,” IEEE J. Quantum. Electron.28, 2631–2654 (1992).
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J. Bravo-Abad, X. Vidal, J. L. D. Jurez, and J. Martorell, “Optical second-harmonic scattering from a non-diffusive random distribution of nonlinear domains,” Opt. Express18, 14202–14211 (2010).
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X. Vidal and J. Martorell, “Generation of light in media with a random distribution of nonlinear domains,” Phys. Rev. Lett.97, 013902(1)–013902(4) (2006).
[CrossRef]

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Y. Le Grand, D. Rouede, C. Odin, R. Aubry, and S. Mattauch, “Second-harmonic scattering by domains in RbH2PO4 ferroelectrics,” Opt. Commun.200, 249–260 (2001).
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Missey, M. J.

S. M. Russell, P. E. Powers, M. J. Missey, and K. L. Schepler, “Broadband mid-infrared generation with two-dimensional quasi-phase-matched structures,” J. Quantum Electronics37, 877–887 (2001).
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Molina, P.

P. Molina, S. Álvarez García, M. O. Ramírez, J. García-Solé, L. E. Bausá, H. Zhang, W. Gao, J. Wang, and M. Jiang, “Nonlinear prism based on the natural ferroelectric domain structure in calcium barium niobate,” Appl. Phys. Lett.94, 071111(1)–071111(3) (2009).
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P. Molina, M. de la O Ramírez, and L. E. Bausá, “Strontium barium niobate as a multifunctional two-dimensional nonlinear photonic glass,” Adv. Funct. Mater.18, 709–715 (2008).
[CrossRef]

Morozov, E. Y.

E. Y. Morozov, A. A. Kaminski, A. S. Chirkin, and D. B. Yusupov, “Second optical harmonic generation in nonlinear crystals with a disordered domain structure,” JETP Lett.73, 647–650 (2001).
[CrossRef]

Mu, S. Y.

H. X. Li, S. Y. Mu, P. Xu, M. L. Zhong, C. D. Chen, X. P. Hu, W. N. Cui, and S. N. Zhu, “Multicolor cerenkov conical beams generation by cascaded-χ(2) processes in radially poled nonlinear photonic crystals,” Appl. Phys. Lett.100, 101101(1)–101101(4) (2012).

Neshev, D. N.

S. M. Saltiel, Y. Sheng, N. Voloch-Bloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, “Cerenkov-type second-harmonic generation in two-dimensional nonlinear photonic structures,” IEEE J. Quantum. Electron.45, 1465–1472 (2009).
[CrossRef]

W. Wang, V. Roppo, K. Kalinowski, Y. Kong, D. N. Neshev, C. Cojocaru, J. Trull, R. Vilaseca, K. Staliunas, W. Krolikowski, S. M. Saltiel, and Y. Kivshar, “Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media,” Optics Express17, 20117–20123 (2009).
[CrossRef] [PubMed]

R. Fischer, S. M. Saltiel, D. N. Neshev, W. Krolikowski, and Y. S. Kivshar, “Broadband femtosecond frequency doubling in random media,” Appl. Phys. Lett.89, 191105(1)–191105(3) (2006).
[CrossRef]

Odin, C.

Y. Le Grand, D. Rouede, C. Odin, R. Aubry, and S. Mattauch, “Second-harmonic scattering by domains in RbH2PO4 ferroelectrics,” Opt. Commun.200, 249–260 (2001).
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Ogawa, T.

S. Kawai, T. Ogawa, H. S. Lee, R. C. DeMattei, and R. S. Feigelson, “Second-harmonic generation from needle-like ferroelectric domains in Sr0.6Ba0.4Nd2O6 single crystals,” Appl. Phys. Lett.73, 768–770 (1998).
[CrossRef]

Pasiskevicius, V.

A. Fragemann, V. Pasiskevicius, and F. Laurell, “Second-order nonlinearities in the domain walls of periodically poled KTiOPO4,” Appl. Phys. Lett.85, 375–377 (2004).
[CrossRef]

Powers, P. E.

S. M. Russell, P. E. Powers, M. J. Missey, and K. L. Schepler, “Broadband mid-infrared generation with two-dimensional quasi-phase-matched structures,” J. Quantum Electronics37, 877–887 (2001).
[CrossRef]

Ramírez, M. O.

P. Molina, S. Álvarez García, M. O. Ramírez, J. García-Solé, L. E. Bausá, H. Zhang, W. Gao, J. Wang, and M. Jiang, “Nonlinear prism based on the natural ferroelectric domain structure in calcium barium niobate,” Appl. Phys. Lett.94, 071111(1)–071111(3) (2009).
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X. Deng, H. Ren, H. Lao, and X. Chen, “Research on Cherenkov second-harmonic generation in periodically poled lithium niobate by femtosecond pulses,” J. Opt. Soc. Am. B27, 1475–1480 (2010).
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H. Ren, X. Deng, and X. Chen, “Coherently superposed efficient second harmonic generation by domain wall series in ferroelectrics,” arxiv:1010.1593v1 (2010).

Roedig, P.

Roppo, V.

K. Kalinowski, V. Roppo, T. Lukasiewicz, M. Swirkowicz, Y. Sheng, and W. Krolikowski, “Parametric wave interaction in one-dimensional nonlinear photonic crystal with randomized distribution of second-order nonlinearity,” Appl. Phys. B109, 557–566 (2012).
[CrossRef]

W. Wang, V. Roppo, K. Kalinowski, Y. Kong, D. N. Neshev, C. Cojocaru, J. Trull, R. Vilaseca, K. Staliunas, W. Krolikowski, S. M. Saltiel, and Y. Kivshar, “Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media,” Optics Express17, 20117–20123 (2009).
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Rosencher, E.

M. Baudrier-Raybaut, R. Haidar, P. Kupecek, P. Lemasson, and E. Rosencher, “Random quasi-phase-matching in bulk polycrystalline isotropic nonlinear materials,” Nature432, 374–376 (2004).
[CrossRef] [PubMed]

Rouede, D.

Y. Le Grand, D. Rouede, C. Odin, R. Aubry, and S. Mattauch, “Second-harmonic scattering by domains in RbH2PO4 ferroelectrics,” Opt. Commun.200, 249–260 (2001).
[CrossRef]

Russell, S. M.

S. M. Russell, P. E. Powers, M. J. Missey, and K. L. Schepler, “Broadband mid-infrared generation with two-dimensional quasi-phase-matched structures,” J. Quantum Electronics37, 877–887 (2001).
[CrossRef]

Saltiel, S. M.

W. Wang, V. Roppo, K. Kalinowski, Y. Kong, D. N. Neshev, C. Cojocaru, J. Trull, R. Vilaseca, K. Staliunas, W. Krolikowski, S. M. Saltiel, and Y. Kivshar, “Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media,” Optics Express17, 20117–20123 (2009).
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S. M. Saltiel, Y. Sheng, N. Voloch-Bloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, “Cerenkov-type second-harmonic generation in two-dimensional nonlinear photonic structures,” IEEE J. Quantum. Electron.45, 1465–1472 (2009).
[CrossRef]

R. Fischer, S. M. Saltiel, D. N. Neshev, W. Krolikowski, and Y. S. Kivshar, “Broadband femtosecond frequency doubling in random media,” Appl. Phys. Lett.89, 191105(1)–191105(3) (2006).
[CrossRef]

Schepler, K. L.

S. M. Russell, P. E. Powers, M. J. Missey, and K. L. Schepler, “Broadband mid-infrared generation with two-dimensional quasi-phase-matched structures,” J. Quantum Electronics37, 877–887 (2001).
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L. Tian, D. A. Scrymgeour, and V. Gopalan, “Real-time study of domain dynamics in ferroelectric Sr0.61Ba0.39Nb2O6,” J. Appl. Phys.97, 114111(1)–114111(7) (2005).

Sheng, Y.

K. Kalinowski, P. Roedig, Y. Sheng, M. Ayoub, J. Imbrock, C. Denz, and W. Krolikowski, “Enhanced Čerenkov second-harmonic emission in nonlinear photonic structures,” Opt. Lett.37, 1832–1834 (2012).
[CrossRef] [PubMed]

K. Kalinowski, V. Roppo, T. Lukasiewicz, M. Swirkowicz, Y. Sheng, and W. Krolikowski, “Parametric wave interaction in one-dimensional nonlinear photonic crystal with randomized distribution of second-order nonlinearity,” Appl. Phys. B109, 557–566 (2012).
[CrossRef]

Y. Sheng, A. Best, H.-J. Butt, W. Krolikowski, A. Arie, and K. Koynov, “Three-dimensional ferroelectric domain visualization by cerenkov-type second harmonic generation,” Opt. Express18, 16539–16545 (2010).
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S. M. Saltiel, Y. Sheng, N. Voloch-Bloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, “Cerenkov-type second-harmonic generation in two-dimensional nonlinear photonic structures,” IEEE J. Quantum. Electron.45, 1465–1472 (2009).
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K. A. Kuznetsov, G. K. Kitaeva, A. V. Shevlyuga, L. I. Ivleva, and T. R. Volk, “Second harmonic generation in a strontium barium niobate crystal with a random domain structure,” JETP Letters87, 98–102 (2008).
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F. Sibbers, J. Imbrock, and C. Denz, “Sum-frequency generation in disordered quadratic nonlinear media,” Proc. of SPIE7728, 77280Y–1 (2010).

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W. Wang, V. Roppo, K. Kalinowski, Y. Kong, D. N. Neshev, C. Cojocaru, J. Trull, R. Vilaseca, K. Staliunas, W. Krolikowski, S. M. Saltiel, and Y. Kivshar, “Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media,” Optics Express17, 20117–20123 (2009).
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Swirkowicz, M.

K. Kalinowski, V. Roppo, T. Lukasiewicz, M. Swirkowicz, Y. Sheng, and W. Krolikowski, “Parametric wave interaction in one-dimensional nonlinear photonic crystal with randomized distribution of second-order nonlinearity,” Appl. Phys. B109, 557–566 (2012).
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Tian, L.

L. Tian, D. A. Scrymgeour, and V. Gopalan, “Real-time study of domain dynamics in ferroelectric Sr0.61Ba0.39Nb2O6,” J. Appl. Phys.97, 114111(1)–114111(7) (2005).

Trull, J.

W. Wang, V. Roppo, K. Kalinowski, Y. Kong, D. N. Neshev, C. Cojocaru, J. Trull, R. Vilaseca, K. Staliunas, W. Krolikowski, S. M. Saltiel, and Y. Kivshar, “Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media,” Optics Express17, 20117–20123 (2009).
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A. R. Tunyagi, M. Ulex, and K. Betzler, “Noncollinear optical frequency doubling in strontium barium niobate,” Phys. Rev. Lett.90, 243901(1)–243901(4) (2003).
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A. R. Tunyagi, M. Ulex, and K. Betzler, “Noncollinear optical frequency doubling in strontium barium niobate,” Phys. Rev. Lett.90, 243901(1)–243901(4) (2003).
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V. Vaičaitis, “Cherenkov-type phase matching in bulk KDP crystal,” Opt. Commun.209, 485–490 (2002).
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J. Bravo-Abad, X. Vidal, J. L. D. Jurez, and J. Martorell, “Optical second-harmonic scattering from a non-diffusive random distribution of nonlinear domains,” Opt. Express18, 14202–14211 (2010).
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X. Vidal and J. Martorell, “Generation of light in media with a random distribution of nonlinear domains,” Phys. Rev. Lett.97, 013902(1)–013902(4) (2006).
[CrossRef]

Vilaseca, R.

W. Wang, V. Roppo, K. Kalinowski, Y. Kong, D. N. Neshev, C. Cojocaru, J. Trull, R. Vilaseca, K. Staliunas, W. Krolikowski, S. M. Saltiel, and Y. Kivshar, “Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media,” Optics Express17, 20117–20123 (2009).
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U. Voelker, U. Heine, C. Gödecker, and K. Betzler, “Domain size effects in a uniaxial ferroelectric relaxor system: The case of SrxBa1−xNb2O6,” J. Appl. Phys.102, 114112(1)–114112(5) (2007).
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K. A. Kuznetsov, G. K. Kitaeva, A. V. Shevlyuga, L. I. Ivleva, and T. R. Volk, “Second harmonic generation in a strontium barium niobate crystal with a random domain structure,” JETP Letters87, 98–102 (2008).
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A. Arie and N. Voloch, “Periodic, quasi-periodic, and random quadratic nonlinear photonic crystals,” Laser and Photon. Rev.4, 355373 (2010).
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S. M. Saltiel, Y. Sheng, N. Voloch-Bloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, “Cerenkov-type second-harmonic generation in two-dimensional nonlinear photonic structures,” IEEE J. Quantum. Electron.45, 1465–1472 (2009).
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Wang, J.

P. Molina, S. Álvarez García, M. O. Ramírez, J. García-Solé, L. E. Bausá, H. Zhang, W. Gao, J. Wang, and M. Jiang, “Nonlinear prism based on the natural ferroelectric domain structure in calcium barium niobate,” Appl. Phys. Lett.94, 071111(1)–071111(3) (2009).
[CrossRef]

Wang, W.

W. Wang, V. Roppo, K. Kalinowski, Y. Kong, D. N. Neshev, C. Cojocaru, J. Trull, R. Vilaseca, K. Staliunas, W. Krolikowski, S. M. Saltiel, and Y. Kivshar, “Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media,” Optics Express17, 20117–20123 (2009).
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Xiao, M.

Y. Zhang, X. P. Hu, G. Zhao, S. N. Zhu, and M. Xiao, “Cerenkov second-harmonic arc from a hexagonally poled LiTaO3 planar waveguide,” J. Phys. D42, 215103–215107 (2009).
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Xu, P.

H. X. Li, S. Y. Mu, P. Xu, M. L. Zhong, C. D. Chen, X. P. Hu, W. N. Cui, and S. N. Zhu, “Multicolor cerenkov conical beams generation by cascaded-χ(2) processes in radially poled nonlinear photonic crystals,” Appl. Phys. Lett.100, 101101(1)–101101(4) (2012).

Yusupov, D. B.

E. Y. Morozov, A. A. Kaminski, A. S. Chirkin, and D. B. Yusupov, “Second optical harmonic generation in nonlinear crystals with a disordered domain structure,” JETP Lett.73, 647–650 (2001).
[CrossRef]

Zhang, H.

P. Molina, S. Álvarez García, M. O. Ramírez, J. García-Solé, L. E. Bausá, H. Zhang, W. Gao, J. Wang, and M. Jiang, “Nonlinear prism based on the natural ferroelectric domain structure in calcium barium niobate,” Appl. Phys. Lett.94, 071111(1)–071111(3) (2009).
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Zhang, Y.

Y. Zhang, X. P. Hu, G. Zhao, S. N. Zhu, and M. Xiao, “Cerenkov second-harmonic arc from a hexagonally poled LiTaO3 planar waveguide,” J. Phys. D42, 215103–215107 (2009).
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Zhao, G.

Y. Zhang, X. P. Hu, G. Zhao, S. N. Zhu, and M. Xiao, “Cerenkov second-harmonic arc from a hexagonally poled LiTaO3 planar waveguide,” J. Phys. D42, 215103–215107 (2009).
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H. X. Li, S. Y. Mu, P. Xu, M. L. Zhong, C. D. Chen, X. P. Hu, W. N. Cui, and S. N. Zhu, “Multicolor cerenkov conical beams generation by cascaded-χ(2) processes in radially poled nonlinear photonic crystals,” Appl. Phys. Lett.100, 101101(1)–101101(4) (2012).

Zhu, S. N.

H. X. Li, S. Y. Mu, P. Xu, M. L. Zhong, C. D. Chen, X. P. Hu, W. N. Cui, and S. N. Zhu, “Multicolor cerenkov conical beams generation by cascaded-χ(2) processes in radially poled nonlinear photonic crystals,” Appl. Phys. Lett.100, 101101(1)–101101(4) (2012).

Y. Zhang, X. P. Hu, G. Zhao, S. N. Zhu, and M. Xiao, “Cerenkov second-harmonic arc from a hexagonally poled LiTaO3 planar waveguide,” J. Phys. D42, 215103–215107 (2009).
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Adv. Funct. Mater.

P. Molina, M. de la O Ramírez, and L. E. Bausá, “Strontium barium niobate as a multifunctional two-dimensional nonlinear photonic glass,” Adv. Funct. Mater.18, 709–715 (2008).
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Appl. Phys. B

K. Kalinowski, V. Roppo, T. Lukasiewicz, M. Swirkowicz, Y. Sheng, and W. Krolikowski, “Parametric wave interaction in one-dimensional nonlinear photonic crystal with randomized distribution of second-order nonlinearity,” Appl. Phys. B109, 557–566 (2012).
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Appl. Phys. Lett.

R. Fischer, S. M. Saltiel, D. N. Neshev, W. Krolikowski, and Y. S. Kivshar, “Broadband femtosecond frequency doubling in random media,” Appl. Phys. Lett.89, 191105(1)–191105(3) (2006).
[CrossRef]

S. Kawai, T. Ogawa, H. S. Lee, R. C. DeMattei, and R. S. Feigelson, “Second-harmonic generation from needle-like ferroelectric domains in Sr0.6Ba0.4Nd2O6 single crystals,” Appl. Phys. Lett.73, 768–770 (1998).
[CrossRef]

P. Molina, S. Álvarez García, M. O. Ramírez, J. García-Solé, L. E. Bausá, H. Zhang, W. Gao, J. Wang, and M. Jiang, “Nonlinear prism based on the natural ferroelectric domain structure in calcium barium niobate,” Appl. Phys. Lett.94, 071111(1)–071111(3) (2009).
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Figures (5)

Fig. 1
Fig. 1

(a) and (b) Phase matching diagrams for general (left) and Čerenkov-type SH generation, respectively. α is the internal angle of incidence of the fundamental wave and θ the SH internal emission angle. (c) and (e) Modeled real space s(x, y) of random up- and down-domain structure for the two averaged domain sizes of 0.25 μm and 3.5 μm, respectively. (d) and (f) The corresponding spatial Fourier spectrum of the domain patterns Skx, Δky). The Fourier coefficients involved in Čerenkov SH emission at normal incidence at 600 nm are marked with solid circles. The scan range Δkx at one side is indicated by dashed lines.

Fig. 2
Fig. 2

Disordered ferroelectric domain pattern in as-grown (a) and repoled (b) strontium barium niobate imaged by scanning Čerenkov-type second-harmonic generation microscopy. The green color represent the domain boundaries. The insets depict histograms of the two cases (a) d = 0.36 μm, σ = 0.18 μm, (b) d = 3.01 μm, σ = 2.6 μm. (c) Schematic of the experimental setup. Eω, E2ω : electric field vectors of the fundamental and second-harmonic waves, HWP: half-wave plate, (s) and (p): vertical and horizontal input polarizations, αex: external rotation angle, θex: external emission angle, PD: photo diode. The second-harmonic signal is measured for each angular position αex of the sample with the photo diode in the xz-plane.

Fig. 3
Fig. 3

Experimental photographs of Čerenkov second-harmonic emission for the fundamental wavelength 1200 nm for normal incidence. (a) for unpoled case; (b) for repoled case. The marked positions represent the positions of the measured SH intensities.

Fig. 4
Fig. 4

(a) and (b) Experimentally measured Čerenkov second-harmonic signal at 600 nm while rotating the unpoled (a) and repoled (b) SBN sample, respectively for an s-polarized fundamental wave. (c) and (d) Numerically simulated far-field intensity of the second-harmonic signal as a function of the incidence angle αex for an average domain width of 0.25 μm (c) and 3.5 μm (d). (e) and (f) Second-harmonic intensities emitted at the Čerenkov angle on one side of the crystal marked with dashed arcs in (c) and (d) as a function of the tilting angle.

Fig. 5
Fig. 5

(a) Experimentally measured Čerenkov second-harmonic signal at 600 nm while rotating the unpoled SBN sample for p-polarized fundamental light. (b) Numerically simulated far-field intensity of the second-harmonic signal as a function of the tilting angle αex for an average domain width of 0.25 μm. (c) Second-harmonic intensity emitted at the Čerenkov angle on one side of the crystal, marked with dashed arcs in (a) and (b). as a function of the tilting angle αex.

Equations (1)

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I SH d eff 2 I FW 2 L z 2 | S ( Δ k x , Δ k y ) | 2 sinc 2 ( Δ k z L z 2 ) ,

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