Abstract

We observe simultaneous type I and II Čerenkov-phase matched second-harmonic generation in a disordered nonlinear photonic crystal. The mean width of the disordered ferroelectric domains and the laser beam width are adjusted to be on the same length scale. We analyze the polarization properties, emission angles and intensities of each process.

© 2015 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Ferroelectric domain diagnostics near the phase transition by Čerenkov second-harmonic generation

Mousa Ayoub, Jörg Imbrock, and Cornelia Denz
Opt. Mater. Express 7(9) 3448-3455 (2017)

Čerenkov-type second-harmonic spectroscopy in random nonlinear photonic structures

Mousa Ayoub, Philip Roedig, Kaloian Koynov, Jörg Imbrock, and Cornelia Denz
Opt. Express 21(7) 8220-8230 (2013)

Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media

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 Yu. Kivshar
Opt. Express 17(22) 20117-20123 (2009)

References

  • View by:
  • |
  • |
  • |

  1. A. R. Tunyagi, M. Ulex, and K. Betzler, “Noncollinear optical frequency doubling in strontium barium niobate,” Phys. Rev. Lett. 90, 243901 (2003).
    [Crossref] [PubMed]
  2. 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 (2006).
    [Crossref]
  3. X. Vidal and J. Martorell, “Generation of light in media with a random distribution of nonlinear domains,” Phys. Rev. Lett. 97, 013902 (2006).
    [Crossref] [PubMed]
  4. 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]
  5. A. M. Vyunishev, A. S. Aleksandrovsky, A. I. Zaitsev, and V. V. Slabko, “Čerenkov nonlinear diffraction in random nonlinear photonic crystal of strontium tetraborate,” Appl. Phys. Lett. 101, 211114 (2012).
    [Crossref]
  6. N. An, Y. Zheng, H. Ren, X. Deng, and X. Chen, “Conical second harmonic generation in one-dimension nonlinear photonic crystal,” Appl. Phys. Lett. 102, 201112 (2013).
    [Crossref]
  7. V. Vaičaitis, “Cherenkov-type phase matching in bulk KDP crystal,” Opt. Commun. 209, 485–490 (2002).
    [Crossref]
  8. 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 Lett. 87, 98–102 (2008).
    [Crossref]
  9. Y. Sheng, V. Roppo, Q. Kong, K. Kalinowski, Q. Wang, C. Cojocaru, J. Trull, and W. Krolikowski, “Tailoring Čerenkov second-harmonic generation in bulk nonlinear photonic crystal,” Opt. Lett. 36, 2593–2595 (2011).
    [Crossref] [PubMed]
  10. 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).
    [Crossref] [PubMed]
  11. M. Ayoub, P. Roedig, J. Imbrock, and C. Denz, “Cascaded Čerenkov third-harmonic generation in random quadratic media,” Appl. Phys. Lett. 99, 241109 (2011).
    [Crossref]
  12. W. Wang, Y. Sheng, Y. Kong, A. Arie, and W. Krolikowski, “Multiple Čerenkov second-harmonic waves in a two-dimensional nonlinear photonic structure,” Opt. Lett. 35, 3790–3792 (2010).
    [Crossref] [PubMed]
  13. 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 (2012).
    [Crossref]
  14. N. An, Y. Zheng, H. Ren, X. Zhao, X. Deng, and X. Chen, “Normal, degenerated, and anomalous-dispersion-like cerenkov sum-frequency generation in one nonlinear medium,” Photonics Res. 3, 106–109 (2015).
    [Crossref]
  15. Y. Sheng, A. Best, H.-J. Butt, W. Krolikowski, A. Arie, and K. Koynov, “Three-dimensional ferroelectric domain visualization by Čerenkov-type second harmonic generation,” Opt. Express 18, 16539–16545 (2010).
    [Crossref] [PubMed]
  16. P. Karpinski, X. Chen, V. Shvedov, C. Hnatovsky, A. Grisard, E. Lallier, B. Luther-Davies, W. Krolikowski, and Y. Sheng, “Nonlinear diffraction in orientation-patterned semiconductors,” Opt. Exp. 23, 14904–14912 (2015).
    [Crossref]
  17. 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]
  18. 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]
  19. 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]
  20. Y. Sheng, V. Roppo, K. Kalinowski, and W. Krolikowski, “Role of a localized modulation of χ(2) in čerenkov second-harmonic generation in nonlinear bulk medium,” Opt. Lett. 37, 3864–3866 (2012).
    [Crossref] [PubMed]
  21. Y. Sheng, Q. Kong, V. Roppo, K. Kalinowski, Q. Wang, C. Cojocaru, and W. Krolikowski, “Theoretical study of Čerenkov-type second-harmonic generation in periodically poled ferroelectric crystals,” J. Opt. Soc. Am. B 29, 312–318 (2012).
    [Crossref]
  22. M. Ayoub, J. Imbrock, and C. Denz, “Second harmonic generation in multi-domain χ2 media: from disorder to order,” Opt. Express 19, 11340–11354 (2011).
    [Crossref] [PubMed]
  23. S. Podlozhenov, H. A. Graetsch, J. Schneider, M. Ulex, M. Wöhlecke, and K. Betzler, “Structure of strontium barium niobate SrxBa1−xNb2O6 (SBN) in the composition range 0.32 ≤ x ≤ 0.82,” Acta Cryst. B62, 960–965 (2006).
    [Crossref]
  24. F. Sibbers, J. Imbrock, and C. Denz, “Sum-frequency generation in disordered quadratic nonlinear media,” Proc. SPIE 7728, 77280Y (2010).
    [Crossref]
  25. T. Woike, T. Granzow, U. Dörfler, C. Poetsch, M. Wöhlecke, and R. Pankrath, “Refractive indices of congruently melting Sr0.61Ba0.39Nb2O6,” Phys. Stat. Sol. A 186, R13 (2001).
    [Crossref]

2015 (2)

N. An, Y. Zheng, H. Ren, X. Zhao, X. Deng, and X. Chen, “Normal, degenerated, and anomalous-dispersion-like cerenkov sum-frequency generation in one nonlinear medium,” Photonics Res. 3, 106–109 (2015).
[Crossref]

P. Karpinski, X. Chen, V. Shvedov, C. Hnatovsky, A. Grisard, E. Lallier, B. Luther-Davies, W. Krolikowski, and Y. Sheng, “Nonlinear diffraction in orientation-patterned semiconductors,” Opt. Exp. 23, 14904–14912 (2015).
[Crossref]

2013 (1)

N. An, Y. Zheng, H. Ren, X. Deng, and X. Chen, “Conical second harmonic generation in one-dimension nonlinear photonic crystal,” Appl. Phys. Lett. 102, 201112 (2013).
[Crossref]

2012 (5)

2011 (4)

2010 (3)

2009 (1)

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]

2008 (2)

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 Lett. 87, 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]

2006 (3)

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 (2006).
[Crossref]

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

S. Podlozhenov, H. A. Graetsch, J. Schneider, M. Ulex, M. Wöhlecke, and K. Betzler, “Structure of strontium barium niobate SrxBa1−xNb2O6 (SBN) in the composition range 0.32 ≤ x ≤ 0.82,” Acta Cryst. B62, 960–965 (2006).
[Crossref]

2004 (1)

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]

2003 (1)

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

2002 (1)

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

2001 (1)

T. Woike, T. Granzow, U. Dörfler, C. Poetsch, M. Wöhlecke, and R. Pankrath, “Refractive indices of congruently melting Sr0.61Ba0.39Nb2O6,” Phys. Stat. Sol. A 186, R13 (2001).
[Crossref]

Aleksandrovsky, A. S.

A. M. Vyunishev, A. S. Aleksandrovsky, A. I. Zaitsev, and V. V. Slabko, “Čerenkov nonlinear diffraction in random nonlinear photonic crystal of strontium tetraborate,” Appl. Phys. Lett. 101, 211114 (2012).
[Crossref]

An, N.

N. An, Y. Zheng, H. Ren, X. Zhao, X. Deng, and X. Chen, “Normal, degenerated, and anomalous-dispersion-like cerenkov sum-frequency generation in one nonlinear medium,” Photonics Res. 3, 106–109 (2015).
[Crossref]

N. An, Y. Zheng, H. Ren, X. Deng, and X. Chen, “Conical second harmonic generation in one-dimension nonlinear photonic crystal,” Appl. Phys. Lett. 102, 201112 (2013).
[Crossref]

Arie, A.

Ayoub, M.

Bausá, L. E.

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]

Best, A.

Betzler, K.

S. Podlozhenov, H. A. Graetsch, J. Schneider, M. Ulex, M. Wöhlecke, and K. Betzler, “Structure of strontium barium niobate SrxBa1−xNb2O6 (SBN) in the composition range 0.32 ≤ x ≤ 0.82,” Acta Cryst. B62, 960–965 (2006).
[Crossref]

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

Butt, H.-J.

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 (2012).
[Crossref]

Chen, X.

N. An, Y. Zheng, H. Ren, X. Zhao, X. Deng, and X. Chen, “Normal, degenerated, and anomalous-dispersion-like cerenkov sum-frequency generation in one nonlinear medium,” Photonics Res. 3, 106–109 (2015).
[Crossref]

P. Karpinski, X. Chen, V. Shvedov, C. Hnatovsky, A. Grisard, E. Lallier, B. Luther-Davies, W. Krolikowski, and Y. Sheng, “Nonlinear diffraction in orientation-patterned semiconductors,” Opt. Exp. 23, 14904–14912 (2015).
[Crossref]

N. An, Y. Zheng, H. Ren, X. Deng, and X. Chen, “Conical second harmonic generation in one-dimension nonlinear photonic crystal,” Appl. Phys. Lett. 102, 201112 (2013).
[Crossref]

Cojocaru, C.

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 (2012).
[Crossref]

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]

Deng, X.

N. An, Y. Zheng, H. Ren, X. Zhao, X. Deng, and X. Chen, “Normal, degenerated, and anomalous-dispersion-like cerenkov sum-frequency generation in one nonlinear medium,” Photonics Res. 3, 106–109 (2015).
[Crossref]

N. An, Y. Zheng, H. Ren, X. Deng, and X. Chen, “Conical second harmonic generation in one-dimension nonlinear photonic crystal,” Appl. Phys. Lett. 102, 201112 (2013).
[Crossref]

Denz, C.

Dörfler, U.

T. Woike, T. Granzow, U. Dörfler, C. Poetsch, M. Wöhlecke, and R. Pankrath, “Refractive indices of congruently melting Sr0.61Ba0.39Nb2O6,” Phys. Stat. Sol. A 186, R13 (2001).
[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 (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]

Graetsch, H. A.

S. Podlozhenov, H. A. Graetsch, J. Schneider, M. Ulex, M. Wöhlecke, and K. Betzler, “Structure of strontium barium niobate SrxBa1−xNb2O6 (SBN) in the composition range 0.32 ≤ x ≤ 0.82,” Acta Cryst. B62, 960–965 (2006).
[Crossref]

Granzow, T.

T. Woike, T. Granzow, U. Dörfler, C. Poetsch, M. Wöhlecke, and R. Pankrath, “Refractive indices of congruently melting Sr0.61Ba0.39Nb2O6,” Phys. Stat. Sol. A 186, R13 (2001).
[Crossref]

Grisard, A.

P. Karpinski, X. Chen, V. Shvedov, C. Hnatovsky, A. Grisard, E. Lallier, B. Luther-Davies, W. Krolikowski, and Y. Sheng, “Nonlinear diffraction in orientation-patterned semiconductors,” Opt. Exp. 23, 14904–14912 (2015).
[Crossref]

Hnatovsky, C.

P. Karpinski, X. Chen, V. Shvedov, C. Hnatovsky, A. Grisard, E. Lallier, B. Luther-Davies, W. Krolikowski, and Y. Sheng, “Nonlinear diffraction in orientation-patterned semiconductors,” Opt. Exp. 23, 14904–14912 (2015).
[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 (2012).
[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 Lett. 87, 98–102 (2008).
[Crossref]

Kalinowski, K.

Karpinski, P.

P. Karpinski, X. Chen, V. Shvedov, C. Hnatovsky, A. Grisard, E. Lallier, B. Luther-Davies, W. Krolikowski, and Y. Sheng, “Nonlinear diffraction in orientation-patterned semiconductors,” Opt. Exp. 23, 14904–14912 (2015).
[Crossref]

Kitaeva, G. K.

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 Lett. 87, 98–102 (2008).
[Crossref]

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 (2006).
[Crossref]

Kong, Q.

Kong, Y.

Koynov, K.

Y. Sheng, A. Best, H.-J. Butt, W. Krolikowski, A. Arie, and K. Koynov, “Three-dimensional ferroelectric domain visualization by Čerenkov-type second harmonic generation,” Opt. Express 18, 16539–16545 (2010).
[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]

Krolikowski, W.

P. Karpinski, X. Chen, V. Shvedov, C. Hnatovsky, A. Grisard, E. Lallier, B. Luther-Davies, W. Krolikowski, and Y. Sheng, “Nonlinear diffraction in orientation-patterned semiconductors,” Opt. Exp. 23, 14904–14912 (2015).
[Crossref]

Y. Sheng, Q. Kong, V. Roppo, K. Kalinowski, Q. Wang, C. Cojocaru, and W. Krolikowski, “Theoretical study of Čerenkov-type second-harmonic generation in periodically poled ferroelectric crystals,” J. Opt. Soc. Am. B 29, 312–318 (2012).
[Crossref]

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]

Y. Sheng, V. Roppo, K. Kalinowski, and W. Krolikowski, “Role of a localized modulation of χ(2) in čerenkov second-harmonic generation in nonlinear bulk medium,” Opt. Lett. 37, 3864–3866 (2012).
[Crossref] [PubMed]

Y. Sheng, V. Roppo, Q. Kong, K. Kalinowski, Q. Wang, C. Cojocaru, J. Trull, and W. Krolikowski, “Tailoring Čerenkov second-harmonic generation in bulk nonlinear photonic crystal,” Opt. Lett. 36, 2593–2595 (2011).
[Crossref] [PubMed]

W. Wang, Y. Sheng, Y. Kong, A. Arie, and W. Krolikowski, “Multiple Čerenkov second-harmonic waves in a two-dimensional nonlinear photonic structure,” Opt. Lett. 35, 3790–3792 (2010).
[Crossref] [PubMed]

Y. Sheng, A. Best, H.-J. Butt, W. Krolikowski, A. Arie, and K. Koynov, “Three-dimensional ferroelectric domain visualization by Čerenkov-type second harmonic generation,” Opt. Express 18, 16539–16545 (2010).
[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 (2006).
[Crossref]

Kuznetsov, K. A.

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 Lett. 87, 98–102 (2008).
[Crossref]

Lallier, E.

P. Karpinski, X. Chen, V. Shvedov, C. Hnatovsky, A. Grisard, E. Lallier, B. Luther-Davies, W. Krolikowski, and Y. Sheng, “Nonlinear diffraction in orientation-patterned semiconductors,” Opt. Exp. 23, 14904–14912 (2015).
[Crossref]

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).
[Crossref]

Li, H. X.

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 (2012).
[Crossref]

Luther-Davies, B.

P. Karpinski, X. Chen, V. Shvedov, C. Hnatovsky, A. Grisard, E. Lallier, B. Luther-Davies, W. Krolikowski, and Y. Sheng, “Nonlinear diffraction in orientation-patterned semiconductors,” Opt. Exp. 23, 14904–14912 (2015).
[Crossref]

Martorell, J.

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

Molina, P.

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]

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 (2012).
[Crossref]

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]

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 (2006).
[Crossref]

Pankrath, R.

T. Woike, T. Granzow, U. Dörfler, C. Poetsch, M. Wöhlecke, and R. Pankrath, “Refractive indices of congruently melting Sr0.61Ba0.39Nb2O6,” Phys. Stat. Sol. A 186, R13 (2001).
[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]

Podlozhenov, S.

S. Podlozhenov, H. A. Graetsch, J. Schneider, M. Ulex, M. Wöhlecke, and K. Betzler, “Structure of strontium barium niobate SrxBa1−xNb2O6 (SBN) in the composition range 0.32 ≤ x ≤ 0.82,” Acta Cryst. B62, 960–965 (2006).
[Crossref]

Poetsch, C.

T. Woike, T. Granzow, U. Dörfler, C. Poetsch, M. Wöhlecke, and R. Pankrath, “Refractive indices of congruently melting Sr0.61Ba0.39Nb2O6,” Phys. Stat. Sol. A 186, R13 (2001).
[Crossref]

Ren, H.

N. An, Y. Zheng, H. Ren, X. Zhao, X. Deng, and X. Chen, “Normal, degenerated, and anomalous-dispersion-like cerenkov sum-frequency generation in one nonlinear medium,” Photonics Res. 3, 106–109 (2015).
[Crossref]

N. An, Y. Zheng, H. Ren, X. Deng, and X. Chen, “Conical second harmonic generation in one-dimension nonlinear photonic crystal,” Appl. Phys. Lett. 102, 201112 (2013).
[Crossref]

Roedig, P.

Roppo, V.

Saltiel, S. M.

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 (2006).
[Crossref]

Schneider, J.

S. Podlozhenov, H. A. Graetsch, J. Schneider, M. Ulex, M. Wöhlecke, and K. Betzler, “Structure of strontium barium niobate SrxBa1−xNb2O6 (SBN) in the composition range 0.32 ≤ x ≤ 0.82,” Acta Cryst. B62, 960–965 (2006).
[Crossref]

Sheng, Y.

P. Karpinski, X. Chen, V. Shvedov, C. Hnatovsky, A. Grisard, E. Lallier, B. Luther-Davies, W. Krolikowski, and Y. Sheng, “Nonlinear diffraction in orientation-patterned semiconductors,” Opt. Exp. 23, 14904–14912 (2015).
[Crossref]

Y. Sheng, Q. Kong, V. Roppo, K. Kalinowski, Q. Wang, C. Cojocaru, and W. Krolikowski, “Theoretical study of Čerenkov-type second-harmonic generation in periodically poled ferroelectric crystals,” J. Opt. Soc. Am. B 29, 312–318 (2012).
[Crossref]

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]

Y. Sheng, V. Roppo, K. Kalinowski, and W. Krolikowski, “Role of a localized modulation of χ(2) in čerenkov second-harmonic generation in nonlinear bulk medium,” Opt. Lett. 37, 3864–3866 (2012).
[Crossref] [PubMed]

Y. Sheng, V. Roppo, Q. Kong, K. Kalinowski, Q. Wang, C. Cojocaru, J. Trull, and W. Krolikowski, “Tailoring Čerenkov second-harmonic generation in bulk nonlinear photonic crystal,” Opt. Lett. 36, 2593–2595 (2011).
[Crossref] [PubMed]

W. Wang, Y. Sheng, Y. Kong, A. Arie, and W. Krolikowski, “Multiple Čerenkov second-harmonic waves in a two-dimensional nonlinear photonic structure,” Opt. Lett. 35, 3790–3792 (2010).
[Crossref] [PubMed]

Y. Sheng, A. Best, H.-J. Butt, W. Krolikowski, A. Arie, and K. Koynov, “Three-dimensional ferroelectric domain visualization by Čerenkov-type second harmonic generation,” Opt. Express 18, 16539–16545 (2010).
[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]

Shevlyuga, A. V.

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 Lett. 87, 98–102 (2008).
[Crossref]

Shvedov, V.

P. Karpinski, X. Chen, V. Shvedov, C. Hnatovsky, A. Grisard, E. Lallier, B. Luther-Davies, W. Krolikowski, and Y. Sheng, “Nonlinear diffraction in orientation-patterned semiconductors,” Opt. Exp. 23, 14904–14912 (2015).
[Crossref]

Sibbers, F.

F. Sibbers, J. Imbrock, and C. Denz, “Sum-frequency generation in disordered quadratic nonlinear media,” Proc. SPIE 7728, 77280Y (2010).
[Crossref]

Slabko, V. V.

A. M. Vyunishev, A. S. Aleksandrovsky, A. I. Zaitsev, and V. V. Slabko, “Čerenkov nonlinear diffraction in random nonlinear photonic crystal of strontium tetraborate,” Appl. Phys. Lett. 101, 211114 (2012).
[Crossref]

Trull, J.

Tunyagi, A. R.

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

Ulex, M.

S. Podlozhenov, H. A. Graetsch, J. Schneider, M. Ulex, M. Wöhlecke, and K. Betzler, “Structure of strontium barium niobate SrxBa1−xNb2O6 (SBN) in the composition range 0.32 ≤ x ≤ 0.82,” Acta Cryst. B62, 960–965 (2006).
[Crossref]

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

Vaicaitis, V.

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

Vidal, X.

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

Volk, T. R.

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 Lett. 87, 98–102 (2008).
[Crossref]

Voloch-Bloch, 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]

Vyunishev, A. M.

A. M. Vyunishev, A. S. Aleksandrovsky, A. I. Zaitsev, and V. V. Slabko, “Čerenkov nonlinear diffraction in random nonlinear photonic crystal of strontium tetraborate,” Appl. Phys. Lett. 101, 211114 (2012).
[Crossref]

Wang, Q.

Wang, W.

Wöhlecke, M.

S. Podlozhenov, H. A. Graetsch, J. Schneider, M. Ulex, M. Wöhlecke, and K. Betzler, “Structure of strontium barium niobate SrxBa1−xNb2O6 (SBN) in the composition range 0.32 ≤ x ≤ 0.82,” Acta Cryst. B62, 960–965 (2006).
[Crossref]

T. Woike, T. Granzow, U. Dörfler, C. Poetsch, M. Wöhlecke, and R. Pankrath, “Refractive indices of congruently melting Sr0.61Ba0.39Nb2O6,” Phys. Stat. Sol. A 186, R13 (2001).
[Crossref]

Woike, T.

T. Woike, T. Granzow, U. Dörfler, C. Poetsch, M. Wöhlecke, and R. Pankrath, “Refractive indices of congruently melting Sr0.61Ba0.39Nb2O6,” Phys. Stat. Sol. A 186, R13 (2001).
[Crossref]

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 (2012).
[Crossref]

Zaitsev, A. I.

A. M. Vyunishev, A. S. Aleksandrovsky, A. I. Zaitsev, and V. V. Slabko, “Čerenkov nonlinear diffraction in random nonlinear photonic crystal of strontium tetraborate,” Appl. Phys. Lett. 101, 211114 (2012).
[Crossref]

Zhao, X.

N. An, Y. Zheng, H. Ren, X. Zhao, X. Deng, and X. Chen, “Normal, degenerated, and anomalous-dispersion-like cerenkov sum-frequency generation in one nonlinear medium,” Photonics Res. 3, 106–109 (2015).
[Crossref]

Zheng, Y.

N. An, Y. Zheng, H. Ren, X. Zhao, X. Deng, and X. Chen, “Normal, degenerated, and anomalous-dispersion-like cerenkov sum-frequency generation in one nonlinear medium,” Photonics Res. 3, 106–109 (2015).
[Crossref]

N. An, Y. Zheng, H. Ren, X. Deng, and X. Chen, “Conical second harmonic generation in one-dimension nonlinear photonic crystal,” Appl. Phys. Lett. 102, 201112 (2013).
[Crossref]

Zhong, M. L.

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 (2012).
[Crossref]

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 (2012).
[Crossref]

Acta Cryst. (1)

S. Podlozhenov, H. A. Graetsch, J. Schneider, M. Ulex, M. Wöhlecke, and K. Betzler, “Structure of strontium barium niobate SrxBa1−xNb2O6 (SBN) in the composition range 0.32 ≤ x ≤ 0.82,” Acta Cryst. B62, 960–965 (2006).
[Crossref]

Adv. Funct. Mater. (1)

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]

Appl. Phys. Lett. (6)

A. M. Vyunishev, A. S. Aleksandrovsky, A. I. Zaitsev, and V. V. Slabko, “Čerenkov nonlinear diffraction in random nonlinear photonic crystal of strontium tetraborate,” Appl. Phys. Lett. 101, 211114 (2012).
[Crossref]

N. An, Y. Zheng, H. Ren, X. Deng, and X. Chen, “Conical second harmonic generation in one-dimension nonlinear photonic crystal,” Appl. Phys. Lett. 102, 201112 (2013).
[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 (2006).
[Crossref]

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. Ayoub, P. Roedig, J. Imbrock, and C. Denz, “Cascaded Čerenkov third-harmonic generation in random quadratic media,” Appl. Phys. Lett. 99, 241109 (2011).
[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 (2012).
[Crossref]

IEEE J. Quantum Electron. (1)

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]

J. Opt. Soc. Am. B (1)

JETP Lett. (1)

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 Lett. 87, 98–102 (2008).
[Crossref]

Opt. Commun. (1)

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

Opt. Exp. (1)

P. Karpinski, X. Chen, V. Shvedov, C. Hnatovsky, A. Grisard, E. Lallier, B. Luther-Davies, W. Krolikowski, and Y. Sheng, “Nonlinear diffraction in orientation-patterned semiconductors,” Opt. Exp. 23, 14904–14912 (2015).
[Crossref]

Opt. Express (2)

Opt. Lett. (5)

Photonics Res. (1)

N. An, Y. Zheng, H. Ren, X. Zhao, X. Deng, and X. Chen, “Normal, degenerated, and anomalous-dispersion-like cerenkov sum-frequency generation in one nonlinear medium,” Photonics Res. 3, 106–109 (2015).
[Crossref]

Phys. Rev. Lett. (2)

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

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

Phys. Stat. Sol. A (1)

T. Woike, T. Granzow, U. Dörfler, C. Poetsch, M. Wöhlecke, and R. Pankrath, “Refractive indices of congruently melting Sr0.61Ba0.39Nb2O6,” Phys. Stat. Sol. A 186, R13 (2001).
[Crossref]

Proc. SPIE (1)

F. Sibbers, J. Imbrock, and C. Denz, “Sum-frequency generation in disordered quadratic nonlinear media,” Proc. SPIE 7728, 77280Y (2010).
[Crossref]

Supplementary Material (3)

NameDescription
» Visualization 1: AVI (1918 KB)      Nanoscaled Domain
» Visualization 2: AVI (2472 KB)      A Microscaled Domain
» Visualization 3: MP4 (1414 KB)      Analyzing of Polarization

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1
Fig. 1

(a) The phase-matching condition for the three processes allowed by the χ2 tensor. (b) Schematic of the Čerenkov signal measurements. (c) An experimental photograph of the three Čerenkov-phase matched second harmonics of 1200 nm. The fundamental wave in (c) is linearly polarized at an angle of 45° with respect to the c-axis.

Fig. 2
Fig. 2

(a) Schematic of the experimental microscope; PM:Photomultimeter, M.O.: Microscope objective, PC: Computer. (b) and (d) Čerenkov-type SHG microscopy images of ferroelectric domains in SBN perpendicular to the optical axis in different size scales. (c) and (e) Three dimensional visualization of isolated ferroelectric domains inside randomized SBN in different size scales (see Visualization 1 and Visualization 2).

Fig. 3
Fig. 3

Measured opening angles in dependence of the wavelength; solid lines representing calculated values from the phase-matching condition [cf. Fig. 1(a)].

Fig. 4
Fig. 4

Analyzing the output polarization of the three Čerenkov-phase matched second harmonics at 1200 nm [see Visualization 3]. In (a) the photographs show each second harmonic filtered by an analyzer. In (b) the experimentally measured SH signals are plotted in dependence of the input polarization angle φ for three fixed positions of the analyzer: 0° (o + oe and e + ee) and 90° (o + eo); the solid lines represent theoretical fits.

Metrics