Abstract

Čerenkov nonlinear diffraction of femtosecond pulses in one-dimensional nonlinear photonic crystal of strontium tetraborate was studied theoretically and experimentally in both frequency and time domains. Spectral features of second harmonic radiation were measured in the course of mapping the nonlinear photonic crystal structure. The local second harmonic spectrum demonstrates complex angular behavior within the beam cross section. The spectral width of the second harmonic radiation is found to be fundamental beam size-dependent, and optimal focusing should be used for exact conversion of the fundamental spectrum into the second harmonic one. Experimental results are in excellent agreement with calculations. Maximum second harmonic generation efficiency was up to 2.1% at pumping by a femtosecond oscillator.

© 2013 Optical Society of America

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  1. V. Berger, “Nonlinear photonic crystals,” Phys. Rev. Lett. 81, 4136–4139 (1998).
    [CrossRef]
  2. 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 Čerenkov conical beams generation by cascaded-χ(2) processes in radially poled nonlinear photonic crystals,” Appl. Phys. Lett. 100, 101101 (2012).
    [CrossRef]
  3. N. An, H. Ren, Y. Zheng, X. Deng, and X. Chen, “Cherenkov high-order harmonic generation by multistep cascading in χ(2) nonlinear photonic crystal,” Appl. Phys. Lett. 100, 221103 (2012).
    [CrossRef]
  4. L. Mateos, P. Molina, J. Galisteo, C. López, L. E. Bausá, and M. O. Ramírez, “Simultaneous generation of second to fifth harmonic conical beams in a two dimensional nonlinear photonic crystal,” Opt. Express 20, 29940–29948 (2012).
    [CrossRef]
  5. Y. Zhang, Z. D. Gao, Z. Qi, S. N. Zhu, and N. B. Ming, “Nonlinear Čerenkov radiation in nonlinear photonic crystal waveguides,” Phys. Rev. Lett. 100, 163904 (2008).
    [CrossRef]
  6. Y. Sheng, V. Roppo, M. Ren, K. Kalinowski, C. Cojocaru, J. Trull, Z. Li, K. Koynov, and W. Krolikowski, “Multi-directional Čerenkov second harmonic generation in two-dimensional nonlinear photonic crystal,” Opt. Express 20, 3948–3953 (2012).
    [CrossRef]
  7. M. B. Nasr, S. Carrasco, B. E. A. Saleh, A. V. Sergienko, M. C. Teich, J. P. Torres, L. Torner, D. S. Hum, and M. M. Fejer, “Ultrabroadband biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100, 183601 (2008).
    [CrossRef]
  8. G. Brida, M. V. Chekhova, I. P. Degiovanni, M. Genovese, G. Kh. Kitaeva, A. Meda, and O. A. Shumilkina, “Chirped biphotons and their compression in optical fibers,” Phys. Rev. Lett. 103, 193602 (2009).
    [CrossRef]
  9. G. K. Kitaeva, “Terahertz generation by means of optical lasers,” Laser Phys. Lett. 5, 559–576 (2008).
    [CrossRef]
  10. A. Shapira, R. Shiloh, I. Juwiler, and A. Arie, “Two-dimensional nonlinear beam shaping,” Opt. Lett. 37, 2136–2138 (2012).
    [CrossRef]
  11. I. Freund, “Nonlinear diffraction,” Phys. Rev. Lett. 21, 1404–1406 (1968).
    [CrossRef]
  12. P. K. Tien, R. Ulrich, and R. J. Martin, “Optical second harmonic generation in form of coherent Cerenkov radiation from a thin-film waveguide,” Appl. Phys. Lett. 17, 447–450 (1970).
    [CrossRef]
  13. C. Chen, J. Su, Y. Zhang, P. Xu, X. Hu, G. Zhao, Y. Liu, X. Lv, and S. Zhu, “Mode-coupling Cerenkov sum-frequency-generation in a multimode planar waveguide,” Appl. Phys. Lett. 97, 161112 (2010).
    [CrossRef]
  14. A. A. Kaminskii, H. Nishioka, K. Ueda, W. Odajima, M. Tateno, K. Sasaki, and A. V. Butashin, “Second-harmonic generation with Cherenkov-type phase matching in a bulk nonlinear LaBGeO5 crystal,” Quantum Electron. 26, 381–382 (1996).
    [CrossRef]
  15. R. Fischer, S. M. Saltiel, D. N. Neshev, W. Krolikowski, and Yu. S. Kivshar, “Broadband femtosecond frequency doubling in random media,” Appl. Phys. Lett. 89, 191105 (2006).
    [CrossRef]
  16. 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]
  17. 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 (2009).
    [CrossRef]
  18. 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]
  19. 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]
  20. 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]
  21. S. I. Bozhevolnyi, J. M. Hvam, K. Pedersen, F. Laurell, H. Karlsson, T. Skettrup, and M. Belmonte, “Second harmonic imaging of ferroelectric domain walls,” Appl. Phys. Lett. 73, 1814–1816 (1998).
    [CrossRef]
  22. A. Fragemann, V. Pasiskevicius, and F. Laurell, “Second-order nonlinearities in domain walls of periodically poled KTiOPO4,” Appl. Phys. Lett. 85, 375–377 (2004).
    [CrossRef]
  23. K. Kalinowski, Q. Kong, V. Roppo, A. Arie, Y. Sheng, and W. Krolikowski, “Wavelength and position tuning of Čerenkov second-harmonic generation in optical superlattice,” Appl. Phys. Lett. 99, 181128 (2011).
    [CrossRef]
  24. 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]
  25. H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Nonlinear Cherenkov radiation in an anomalous dispersive medium,” Phys. Rev. Lett. 108, 223901 (2012).
    [CrossRef]
  26. X. Deng and X. Chen, “Domain wall characterization in ferroelectrics by using localized nonlinearities,” Opt. Express 18, 15597–15602 (2010).
    [CrossRef]
  27. 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. Express 18, 16539–16545 (2010).
    [CrossRef]
  28. S. M. Saltiel, D. N. Neshev, R. Fischer, W. Krolikowski, A. Arie, and Y. S. Kivshar, “Generation of second-harmonic conical waves via nonlinear Bragg diffraction,” Phys. Rev. Lett. 100, 103902 (2008).
    [CrossRef]
  29. A. Shapira and A. Arie, “Phase-matched nonlinear diffraction,” Opt. Lett. 36, 1933–1935 (2011).
    [CrossRef]
  30. 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]
  31. A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, and V. V. Slabko, “Random quasi-phase-matched conversion of broadband radiation in a nonlinear photonic crystal,” Phys. Rev. A 82, 055806 (2010).
    [CrossRef]
  32. A. S. Aleksandrovsky, A. M. Vyunishev, V. V. Slabko, A. I. Zaitsev, and A. V. Zamkov, “Tunable femtosecond frequency doubling in random domain structure of strontium tetraborate,” Opt. Commun. 282, 2263–2266 (2009).
    [CrossRef]
  33. A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, A. A. Ikonnikov, and G. I. Pospelov, “Ultrashort pulses characterization by nonlinear diffraction from virtual beam,” Appl. Phys. Lett. 98, 061104 (2011).
    [CrossRef]
  34. A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, G. I. Pospelov, and V. V. Slabko, “Diagnostics of fs pulses by noncollinear random quasi-phase-matched frequency doubling,” Appl. Phys. Lett. 99, 211105 (2011).
    [CrossRef]
  35. A. S. Aleksandrovsky, A. M. Vyunishev, and A. I. Zaitsev, “Applications of random nonlinear photonic crystals based on strontium tetraborate,” Crystals 2, 1393–1409 (2012).
    [CrossRef]
  36. I. V. Shutov, I. A. Ozheredov, A. V. Shumitski, and A. S. Chirkin, “Second harmonic generation by femtosecond laser pulses in the Laue scheme,” Opt. Spectrosc. 105, 79–84 (2008).
    [CrossRef]
  37. 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. B 27, 1475–1480 (2010).
    [CrossRef]
  38. 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]
  39. Yu. S. Oseledchik, A. L. Prosvirnin, A. I. Pisarevskiy, V. V. Starshenko, V. V. Osadchuk, S. P. Belokrys, N. V. Svitanko, A. S. Korol, S. A. Krikunov, and A. F. Selevich, “New nonlinear optical crystals: strontium and lead tetraborates,” Opt. Mater. 4, 669–674 (1995).
    [CrossRef]
  40. S. M. Saltiel, D. N. Neshev, W. Krolikowski, A. Arie, O. Bang, and Y. S. Kivshar, “Multiorder nonlinear diffraction in frequency doubling processes,” Opt. Lett. 34, 848–850 (2009).
    [CrossRef]
  41. 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]
  42. Y. Sheng, Q. Kong, W. Wang, K. Kalinowski, and W. Krolikowski, “Theoretical investigations of nonlinear Raman–Nath diffraction in the frequency doubling process,” J. Phys. B 45, 055401 (2012).
    [CrossRef]
  43. S. Akturk, X. Gu, P. Bowlan, and R. Trebino, “Spatio-temporal couplings in ultrashort laser pulses,” J. Opt. 12, 093001 (2010).
    [CrossRef]

2012 (12)

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 Čerenkov conical beams generation by cascaded-χ(2) processes in radially poled nonlinear photonic crystals,” Appl. Phys. Lett. 100, 101101 (2012).
[CrossRef]

N. An, H. Ren, Y. Zheng, X. Deng, and X. Chen, “Cherenkov high-order harmonic generation by multistep cascading in χ(2) nonlinear photonic crystal,” Appl. Phys. Lett. 100, 221103 (2012).
[CrossRef]

L. Mateos, P. Molina, J. Galisteo, C. López, L. E. Bausá, and M. O. Ramírez, “Simultaneous generation of second to fifth harmonic conical beams in a two dimensional nonlinear photonic crystal,” Opt. Express 20, 29940–29948 (2012).
[CrossRef]

Y. Sheng, V. Roppo, M. Ren, K. Kalinowski, C. Cojocaru, J. Trull, Z. Li, K. Koynov, and W. Krolikowski, “Multi-directional Čerenkov second harmonic generation in two-dimensional nonlinear photonic crystal,” Opt. Express 20, 3948–3953 (2012).
[CrossRef]

A. Shapira, R. Shiloh, I. Juwiler, and A. Arie, “Two-dimensional nonlinear beam shaping,” Opt. Lett. 37, 2136–2138 (2012).
[CrossRef]

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]

H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Nonlinear Cherenkov radiation in an anomalous dispersive medium,” Phys. Rev. Lett. 108, 223901 (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]

A. S. Aleksandrovsky, A. M. Vyunishev, and A. I. Zaitsev, “Applications of random nonlinear photonic crystals based on strontium tetraborate,” Crystals 2, 1393–1409 (2012).
[CrossRef]

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]

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]

Y. Sheng, Q. Kong, W. Wang, K. Kalinowski, and W. Krolikowski, “Theoretical investigations of nonlinear Raman–Nath diffraction in the frequency doubling process,” J. Phys. B 45, 055401 (2012).
[CrossRef]

2011 (7)

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, A. A. Ikonnikov, and G. I. Pospelov, “Ultrashort pulses characterization by nonlinear diffraction from virtual beam,” Appl. Phys. Lett. 98, 061104 (2011).
[CrossRef]

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, G. I. Pospelov, and V. V. Slabko, “Diagnostics of fs pulses by noncollinear random quasi-phase-matched frequency doubling,” Appl. Phys. Lett. 99, 211105 (2011).
[CrossRef]

K. Kalinowski, Q. Kong, V. Roppo, A. Arie, Y. Sheng, and W. Krolikowski, “Wavelength and position tuning of Čerenkov second-harmonic generation in optical superlattice,” Appl. Phys. Lett. 99, 181128 (2011).
[CrossRef]

A. Shapira and A. Arie, “Phase-matched nonlinear diffraction,” Opt. Lett. 36, 1933–1935 (2011).
[CrossRef]

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]

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]

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]

2010 (6)

X. Deng and X. Chen, “Domain wall characterization in ferroelectrics by using localized nonlinearities,” Opt. Express 18, 15597–15602 (2010).
[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. Express 18, 16539–16545 (2010).
[CrossRef]

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, and V. V. Slabko, “Random quasi-phase-matched conversion of broadband radiation in a nonlinear photonic crystal,” Phys. Rev. A 82, 055806 (2010).
[CrossRef]

C. Chen, J. Su, Y. Zhang, P. Xu, X. Hu, G. Zhao, Y. Liu, X. Lv, and S. Zhu, “Mode-coupling Cerenkov sum-frequency-generation in a multimode planar waveguide,” Appl. Phys. Lett. 97, 161112 (2010).
[CrossRef]

S. Akturk, X. Gu, P. Bowlan, and R. Trebino, “Spatio-temporal couplings in ultrashort laser pulses,” J. Opt. 12, 093001 (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. B 27, 1475–1480 (2010).
[CrossRef]

2009 (4)

S. M. Saltiel, D. N. Neshev, W. Krolikowski, A. Arie, O. Bang, and Y. S. Kivshar, “Multiorder nonlinear diffraction in frequency doubling processes,” Opt. Lett. 34, 848–850 (2009).
[CrossRef]

G. Brida, M. V. Chekhova, I. P. Degiovanni, M. Genovese, G. Kh. Kitaeva, A. Meda, and O. A. Shumilkina, “Chirped biphotons and their compression in optical fibers,” Phys. Rev. Lett. 103, 193602 (2009).
[CrossRef]

A. S. Aleksandrovsky, A. M. Vyunishev, V. V. Slabko, A. I. Zaitsev, and A. V. Zamkov, “Tunable femtosecond frequency doubling in random domain structure of strontium tetraborate,” Opt. Commun. 282, 2263–2266 (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 (2009).
[CrossRef]

2008 (6)

S. M. Saltiel, D. N. Neshev, R. Fischer, W. Krolikowski, A. Arie, and Y. S. Kivshar, “Generation of second-harmonic conical waves via nonlinear Bragg diffraction,” Phys. Rev. Lett. 100, 103902 (2008).
[CrossRef]

G. K. Kitaeva, “Terahertz generation by means of optical lasers,” Laser Phys. Lett. 5, 559–576 (2008).
[CrossRef]

M. B. Nasr, S. Carrasco, B. E. A. Saleh, A. V. Sergienko, M. C. Teich, J. P. Torres, L. Torner, D. S. Hum, and M. M. Fejer, “Ultrabroadband biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100, 183601 (2008).
[CrossRef]

Y. Zhang, Z. D. Gao, Z. Qi, S. N. Zhu, and N. B. Ming, “Nonlinear Čerenkov radiation in nonlinear photonic crystal waveguides,” Phys. Rev. Lett. 100, 163904 (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]

I. V. Shutov, I. A. Ozheredov, A. V. Shumitski, and A. S. Chirkin, “Second harmonic generation by femtosecond laser pulses in the Laue scheme,” Opt. Spectrosc. 105, 79–84 (2008).
[CrossRef]

2006 (1)

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

2004 (1)

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

1998 (2)

S. I. Bozhevolnyi, J. M. Hvam, K. Pedersen, F. Laurell, H. Karlsson, T. Skettrup, and M. Belmonte, “Second harmonic imaging of ferroelectric domain walls,” Appl. Phys. Lett. 73, 1814–1816 (1998).
[CrossRef]

V. Berger, “Nonlinear photonic crystals,” Phys. Rev. Lett. 81, 4136–4139 (1998).
[CrossRef]

1996 (1)

A. A. Kaminskii, H. Nishioka, K. Ueda, W. Odajima, M. Tateno, K. Sasaki, and A. V. Butashin, “Second-harmonic generation with Cherenkov-type phase matching in a bulk nonlinear LaBGeO5 crystal,” Quantum Electron. 26, 381–382 (1996).
[CrossRef]

1995 (1)

Yu. S. Oseledchik, A. L. Prosvirnin, A. I. Pisarevskiy, V. V. Starshenko, V. V. Osadchuk, S. P. Belokrys, N. V. Svitanko, A. S. Korol, S. A. Krikunov, and A. F. Selevich, “New nonlinear optical crystals: strontium and lead tetraborates,” Opt. Mater. 4, 669–674 (1995).
[CrossRef]

1970 (1)

P. K. Tien, R. Ulrich, and R. J. Martin, “Optical second harmonic generation in form of coherent Cerenkov radiation from a thin-film waveguide,” Appl. Phys. Lett. 17, 447–450 (1970).
[CrossRef]

1968 (1)

I. Freund, “Nonlinear diffraction,” Phys. Rev. Lett. 21, 1404–1406 (1968).
[CrossRef]

Akturk, S.

S. Akturk, X. Gu, P. Bowlan, and R. Trebino, “Spatio-temporal couplings in ultrashort laser pulses,” J. Opt. 12, 093001 (2010).
[CrossRef]

Aleksandrovsky, A. S.

A. S. Aleksandrovsky, A. M. Vyunishev, and A. I. Zaitsev, “Applications of random nonlinear photonic crystals based on strontium tetraborate,” Crystals 2, 1393–1409 (2012).
[CrossRef]

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]

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, G. I. Pospelov, and V. V. Slabko, “Diagnostics of fs pulses by noncollinear random quasi-phase-matched frequency doubling,” Appl. Phys. Lett. 99, 211105 (2011).
[CrossRef]

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, A. A. Ikonnikov, and G. I. Pospelov, “Ultrashort pulses characterization by nonlinear diffraction from virtual beam,” Appl. Phys. Lett. 98, 061104 (2011).
[CrossRef]

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, and V. V. Slabko, “Random quasi-phase-matched conversion of broadband radiation in a nonlinear photonic crystal,” Phys. Rev. A 82, 055806 (2010).
[CrossRef]

A. S. Aleksandrovsky, A. M. Vyunishev, V. V. Slabko, A. I. Zaitsev, and A. V. Zamkov, “Tunable femtosecond frequency doubling in random domain structure of strontium tetraborate,” Opt. Commun. 282, 2263–2266 (2009).
[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 (2009).
[CrossRef]

An, N.

H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Nonlinear Cherenkov radiation in an anomalous dispersive medium,” Phys. Rev. Lett. 108, 223901 (2012).
[CrossRef]

N. An, H. Ren, Y. Zheng, X. Deng, and X. Chen, “Cherenkov high-order harmonic generation by multistep cascading in χ(2) nonlinear photonic crystal,” Appl. Phys. Lett. 100, 221103 (2012).
[CrossRef]

Arie, A.

Ayoub, M.

Bang, O.

Bausá, L. E.

L. Mateos, P. Molina, J. Galisteo, C. López, L. E. Bausá, and M. O. Ramírez, “Simultaneous generation of second to fifth harmonic conical beams in a two dimensional nonlinear photonic crystal,” Opt. Express 20, 29940–29948 (2012).
[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 (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]

Belmonte, M.

S. I. Bozhevolnyi, J. M. Hvam, K. Pedersen, F. Laurell, H. Karlsson, T. Skettrup, and M. Belmonte, “Second harmonic imaging of ferroelectric domain walls,” Appl. Phys. Lett. 73, 1814–1816 (1998).
[CrossRef]

Belokrys, S. P.

Yu. S. Oseledchik, A. L. Prosvirnin, A. I. Pisarevskiy, V. V. Starshenko, V. V. Osadchuk, S. P. Belokrys, N. V. Svitanko, A. S. Korol, S. A. Krikunov, and A. F. Selevich, “New nonlinear optical crystals: strontium and lead tetraborates,” Opt. Mater. 4, 669–674 (1995).
[CrossRef]

Berger, V.

V. Berger, “Nonlinear photonic crystals,” Phys. Rev. Lett. 81, 4136–4139 (1998).
[CrossRef]

Best, A.

Bowlan, P.

S. Akturk, X. Gu, P. Bowlan, and R. Trebino, “Spatio-temporal couplings in ultrashort laser pulses,” J. Opt. 12, 093001 (2010).
[CrossRef]

Bozhevolnyi, S. I.

S. I. Bozhevolnyi, J. M. Hvam, K. Pedersen, F. Laurell, H. Karlsson, T. Skettrup, and M. Belmonte, “Second harmonic imaging of ferroelectric domain walls,” Appl. Phys. Lett. 73, 1814–1816 (1998).
[CrossRef]

Brida, G.

G. Brida, M. V. Chekhova, I. P. Degiovanni, M. Genovese, G. Kh. Kitaeva, A. Meda, and O. A. Shumilkina, “Chirped biphotons and their compression in optical fibers,” Phys. Rev. Lett. 103, 193602 (2009).
[CrossRef]

Butashin, A. V.

A. A. Kaminskii, H. Nishioka, K. Ueda, W. Odajima, M. Tateno, K. Sasaki, and A. V. Butashin, “Second-harmonic generation with Cherenkov-type phase matching in a bulk nonlinear LaBGeO5 crystal,” Quantum Electron. 26, 381–382 (1996).
[CrossRef]

Butt, H. J.

Carrasco, S.

M. B. Nasr, S. Carrasco, B. E. A. Saleh, A. V. Sergienko, M. C. Teich, J. P. Torres, L. Torner, D. S. Hum, and M. M. Fejer, “Ultrabroadband biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100, 183601 (2008).
[CrossRef]

Chekhova, M. V.

G. Brida, M. V. Chekhova, I. P. Degiovanni, M. Genovese, G. Kh. Kitaeva, A. Meda, and O. A. Shumilkina, “Chirped biphotons and their compression in optical fibers,” Phys. Rev. Lett. 103, 193602 (2009).
[CrossRef]

Chen, C.

C. Chen, J. Su, Y. Zhang, P. Xu, X. Hu, G. Zhao, Y. Liu, X. Lv, and S. Zhu, “Mode-coupling Cerenkov sum-frequency-generation in a multimode planar waveguide,” Appl. Phys. Lett. 97, 161112 (2010).
[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 Čerenkov 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, H. Ren, Y. Zheng, X. Deng, and X. Chen, “Cherenkov high-order harmonic generation by multistep cascading in χ(2) nonlinear photonic crystal,” Appl. Phys. Lett. 100, 221103 (2012).
[CrossRef]

H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Nonlinear Cherenkov radiation in an anomalous dispersive medium,” Phys. Rev. Lett. 108, 223901 (2012).
[CrossRef]

X. Deng and X. Chen, “Domain wall characterization in ferroelectrics by using localized nonlinearities,” Opt. Express 18, 15597–15602 (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. B 27, 1475–1480 (2010).
[CrossRef]

Chirkin, A. S.

I. V. Shutov, I. A. Ozheredov, A. V. Shumitski, and A. S. Chirkin, “Second harmonic generation by femtosecond laser pulses in the Laue scheme,” Opt. Spectrosc. 105, 79–84 (2008).
[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 Čerenkov 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]

Degiovanni, I. P.

G. Brida, M. V. Chekhova, I. P. Degiovanni, M. Genovese, G. Kh. Kitaeva, A. Meda, and O. A. Shumilkina, “Chirped biphotons and their compression in optical fibers,” Phys. Rev. Lett. 103, 193602 (2009).
[CrossRef]

Deng, X.

N. An, H. Ren, Y. Zheng, X. Deng, and X. Chen, “Cherenkov high-order harmonic generation by multistep cascading in χ(2) nonlinear photonic crystal,” Appl. Phys. Lett. 100, 221103 (2012).
[CrossRef]

H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Nonlinear Cherenkov radiation in an anomalous dispersive medium,” Phys. Rev. Lett. 108, 223901 (2012).
[CrossRef]

X. Deng and X. Chen, “Domain wall characterization in ferroelectrics by using localized nonlinearities,” Opt. Express 18, 15597–15602 (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. B 27, 1475–1480 (2010).
[CrossRef]

Denz, C.

Fejer, M. M.

M. B. Nasr, S. Carrasco, B. E. A. Saleh, A. V. Sergienko, M. C. Teich, J. P. Torres, L. Torner, D. S. Hum, and M. M. Fejer, “Ultrabroadband biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100, 183601 (2008).
[CrossRef]

Fischer, R.

S. M. Saltiel, D. N. Neshev, R. Fischer, W. Krolikowski, A. Arie, and Y. S. Kivshar, “Generation of second-harmonic conical waves via nonlinear Bragg diffraction,” Phys. Rev. Lett. 100, 103902 (2008).
[CrossRef]

R. Fischer, S. M. Saltiel, D. N. Neshev, W. Krolikowski, and Yu. 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 domain walls of periodically poled KTiOPO4,” Appl. Phys. Lett. 85, 375–377 (2004).
[CrossRef]

Freund, I.

I. Freund, “Nonlinear diffraction,” Phys. Rev. Lett. 21, 1404–1406 (1968).
[CrossRef]

Galisteo, J.

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 (2009).
[CrossRef]

Gao, Z. D.

Y. Zhang, Z. D. Gao, Z. Qi, S. N. Zhu, and N. B. Ming, “Nonlinear Čerenkov radiation in nonlinear photonic crystal waveguides,” Phys. Rev. Lett. 100, 163904 (2008).
[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 (2009).
[CrossRef]

Genovese, M.

G. Brida, M. V. Chekhova, I. P. Degiovanni, M. Genovese, G. Kh. Kitaeva, A. Meda, and O. A. Shumilkina, “Chirped biphotons and their compression in optical fibers,” Phys. Rev. Lett. 103, 193602 (2009).
[CrossRef]

Gu, X.

S. Akturk, X. Gu, P. Bowlan, and R. Trebino, “Spatio-temporal couplings in ultrashort laser pulses,” J. Opt. 12, 093001 (2010).
[CrossRef]

Hu, X.

C. Chen, J. Su, Y. Zhang, P. Xu, X. Hu, G. Zhao, Y. Liu, X. Lv, and S. Zhu, “Mode-coupling Cerenkov sum-frequency-generation in a multimode planar waveguide,” Appl. Phys. Lett. 97, 161112 (2010).
[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 Čerenkov conical beams generation by cascaded-χ(2) processes in radially poled nonlinear photonic crystals,” Appl. Phys. Lett. 100, 101101 (2012).
[CrossRef]

Hum, D. S.

M. B. Nasr, S. Carrasco, B. E. A. Saleh, A. V. Sergienko, M. C. Teich, J. P. Torres, L. Torner, D. S. Hum, and M. M. Fejer, “Ultrabroadband biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100, 183601 (2008).
[CrossRef]

Hvam, J. M.

S. I. Bozhevolnyi, J. M. Hvam, K. Pedersen, F. Laurell, H. Karlsson, T. Skettrup, and M. Belmonte, “Second harmonic imaging of ferroelectric domain walls,” Appl. Phys. Lett. 73, 1814–1816 (1998).
[CrossRef]

Ikonnikov, A. A.

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, A. A. Ikonnikov, and G. I. Pospelov, “Ultrashort pulses characterization by nonlinear diffraction from virtual beam,” Appl. Phys. Lett. 98, 061104 (2011).
[CrossRef]

Imbrock, J.

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 (2009).
[CrossRef]

Juwiler, I.

Kalinowski, K.

Kaminskii, A. A.

A. A. Kaminskii, H. Nishioka, K. Ueda, W. Odajima, M. Tateno, K. Sasaki, and A. V. Butashin, “Second-harmonic generation with Cherenkov-type phase matching in a bulk nonlinear LaBGeO5 crystal,” Quantum Electron. 26, 381–382 (1996).
[CrossRef]

Karlsson, H.

S. I. Bozhevolnyi, J. M. Hvam, K. Pedersen, F. Laurell, H. Karlsson, T. Skettrup, and M. Belmonte, “Second harmonic imaging of ferroelectric domain walls,” Appl. Phys. Lett. 73, 1814–1816 (1998).
[CrossRef]

Kitaeva, G. K.

G. K. Kitaeva, “Terahertz generation by means of optical lasers,” Laser Phys. Lett. 5, 559–576 (2008).
[CrossRef]

Kitaeva, G. Kh.

G. Brida, M. V. Chekhova, I. P. Degiovanni, M. Genovese, G. Kh. Kitaeva, A. Meda, and O. A. Shumilkina, “Chirped biphotons and their compression in optical fibers,” Phys. Rev. Lett. 103, 193602 (2009).
[CrossRef]

Kivshar, Y. S.

S. M. Saltiel, D. N. Neshev, W. Krolikowski, A. Arie, O. Bang, and Y. S. Kivshar, “Multiorder nonlinear diffraction in frequency doubling processes,” Opt. Lett. 34, 848–850 (2009).
[CrossRef]

S. M. Saltiel, D. N. Neshev, R. Fischer, W. Krolikowski, A. Arie, and Y. S. Kivshar, “Generation of second-harmonic conical waves via nonlinear Bragg diffraction,” Phys. Rev. Lett. 100, 103902 (2008).
[CrossRef]

Kivshar, Yu. S.

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

Kong, Q.

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]

Y. Sheng, Q. Kong, W. Wang, K. Kalinowski, and W. Krolikowski, “Theoretical investigations of nonlinear Raman–Nath diffraction in the frequency doubling process,” J. Phys. B 45, 055401 (2012).
[CrossRef]

K. Kalinowski, Q. Kong, V. Roppo, A. Arie, Y. Sheng, and W. Krolikowski, “Wavelength and position tuning of Čerenkov second-harmonic generation in optical superlattice,” Appl. Phys. Lett. 99, 181128 (2011).
[CrossRef]

Korol, A. S.

Yu. S. Oseledchik, A. L. Prosvirnin, A. I. Pisarevskiy, V. V. Starshenko, V. V. Osadchuk, S. P. Belokrys, N. V. Svitanko, A. S. Korol, S. A. Krikunov, and A. F. Selevich, “New nonlinear optical crystals: strontium and lead tetraborates,” Opt. Mater. 4, 669–674 (1995).
[CrossRef]

Koynov, K.

Krikunov, S. A.

Yu. S. Oseledchik, A. L. Prosvirnin, A. I. Pisarevskiy, V. V. Starshenko, V. V. Osadchuk, S. P. Belokrys, N. V. Svitanko, A. S. Korol, S. A. Krikunov, and A. F. Selevich, “New nonlinear optical crystals: strontium and lead tetraborates,” Opt. Mater. 4, 669–674 (1995).
[CrossRef]

Krolikowski, W.

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]

Y. Sheng, Q. Kong, W. Wang, K. Kalinowski, and W. Krolikowski, “Theoretical investigations of nonlinear Raman–Nath diffraction in the frequency doubling process,” J. Phys. B 45, 055401 (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]

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]

Y. Sheng, V. Roppo, M. Ren, K. Kalinowski, C. Cojocaru, J. Trull, Z. Li, K. Koynov, and W. Krolikowski, “Multi-directional Čerenkov second harmonic generation in two-dimensional nonlinear photonic crystal,” Opt. Express 20, 3948–3953 (2012).
[CrossRef]

K. Kalinowski, Q. Kong, V. Roppo, A. Arie, Y. Sheng, and W. Krolikowski, “Wavelength and position tuning of Čerenkov second-harmonic generation in optical superlattice,” Appl. Phys. Lett. 99, 181128 (2011).
[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. Express 18, 16539–16545 (2010).
[CrossRef]

S. M. Saltiel, D. N. Neshev, W. Krolikowski, A. Arie, O. Bang, and Y. S. Kivshar, “Multiorder nonlinear diffraction in frequency doubling processes,” Opt. Lett. 34, 848–850 (2009).
[CrossRef]

S. M. Saltiel, D. N. Neshev, R. Fischer, W. Krolikowski, A. Arie, and Y. S. Kivshar, “Generation of second-harmonic conical waves via nonlinear Bragg diffraction,” Phys. Rev. Lett. 100, 103902 (2008).
[CrossRef]

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

Lao, H.

Laurell, F.

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

S. I. Bozhevolnyi, J. M. Hvam, K. Pedersen, F. Laurell, H. Karlsson, T. Skettrup, and M. Belmonte, “Second harmonic imaging of ferroelectric domain walls,” Appl. Phys. Lett. 73, 1814–1816 (1998).
[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 Čerenkov conical beams generation by cascaded-χ(2) processes in radially poled nonlinear photonic crystals,” Appl. Phys. Lett. 100, 101101 (2012).
[CrossRef]

Li, Z.

Liu, Y.

C. Chen, J. Su, Y. Zhang, P. Xu, X. Hu, G. Zhao, Y. Liu, X. Lv, and S. Zhu, “Mode-coupling Cerenkov sum-frequency-generation in a multimode planar waveguide,” Appl. Phys. Lett. 97, 161112 (2010).
[CrossRef]

López, C.

Lv, X.

C. Chen, J. Su, Y. Zhang, P. Xu, X. Hu, G. Zhao, Y. Liu, X. Lv, and S. Zhu, “Mode-coupling Cerenkov sum-frequency-generation in a multimode planar waveguide,” Appl. Phys. Lett. 97, 161112 (2010).
[CrossRef]

Martin, R. J.

P. K. Tien, R. Ulrich, and R. J. Martin, “Optical second harmonic generation in form of coherent Cerenkov radiation from a thin-film waveguide,” Appl. Phys. Lett. 17, 447–450 (1970).
[CrossRef]

Mateos, L.

Meda, A.

G. Brida, M. V. Chekhova, I. P. Degiovanni, M. Genovese, G. Kh. Kitaeva, A. Meda, and O. A. Shumilkina, “Chirped biphotons and their compression in optical fibers,” Phys. Rev. Lett. 103, 193602 (2009).
[CrossRef]

Ming, N. B.

Y. Zhang, Z. D. Gao, Z. Qi, S. N. Zhu, and N. B. Ming, “Nonlinear Čerenkov radiation in nonlinear photonic crystal waveguides,” Phys. Rev. Lett. 100, 163904 (2008).
[CrossRef]

Molina, P.

L. Mateos, P. Molina, J. Galisteo, C. López, L. E. Bausá, and M. O. Ramírez, “Simultaneous generation of second to fifth harmonic conical beams in a two dimensional nonlinear photonic crystal,” Opt. Express 20, 29940–29948 (2012).
[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 (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]

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 Čerenkov conical beams generation by cascaded-χ(2) processes in radially poled nonlinear photonic crystals,” Appl. Phys. Lett. 100, 101101 (2012).
[CrossRef]

Nasr, M. B.

M. B. Nasr, S. Carrasco, B. E. A. Saleh, A. V. Sergienko, M. C. Teich, J. P. Torres, L. Torner, D. S. Hum, and M. M. Fejer, “Ultrabroadband biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100, 183601 (2008).
[CrossRef]

Neshev, D. N.

S. M. Saltiel, D. N. Neshev, W. Krolikowski, A. Arie, O. Bang, and Y. S. Kivshar, “Multiorder nonlinear diffraction in frequency doubling processes,” Opt. Lett. 34, 848–850 (2009).
[CrossRef]

S. M. Saltiel, D. N. Neshev, R. Fischer, W. Krolikowski, A. Arie, and Y. S. Kivshar, “Generation of second-harmonic conical waves via nonlinear Bragg diffraction,” Phys. Rev. Lett. 100, 103902 (2008).
[CrossRef]

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

Nishioka, H.

A. A. Kaminskii, H. Nishioka, K. Ueda, W. Odajima, M. Tateno, K. Sasaki, and A. V. Butashin, “Second-harmonic generation with Cherenkov-type phase matching in a bulk nonlinear LaBGeO5 crystal,” Quantum Electron. 26, 381–382 (1996).
[CrossRef]

Odajima, W.

A. A. Kaminskii, H. Nishioka, K. Ueda, W. Odajima, M. Tateno, K. Sasaki, and A. V. Butashin, “Second-harmonic generation with Cherenkov-type phase matching in a bulk nonlinear LaBGeO5 crystal,” Quantum Electron. 26, 381–382 (1996).
[CrossRef]

Osadchuk, V. V.

Yu. S. Oseledchik, A. L. Prosvirnin, A. I. Pisarevskiy, V. V. Starshenko, V. V. Osadchuk, S. P. Belokrys, N. V. Svitanko, A. S. Korol, S. A. Krikunov, and A. F. Selevich, “New nonlinear optical crystals: strontium and lead tetraborates,” Opt. Mater. 4, 669–674 (1995).
[CrossRef]

Oseledchik, Yu. S.

Yu. S. Oseledchik, A. L. Prosvirnin, A. I. Pisarevskiy, V. V. Starshenko, V. V. Osadchuk, S. P. Belokrys, N. V. Svitanko, A. S. Korol, S. A. Krikunov, and A. F. Selevich, “New nonlinear optical crystals: strontium and lead tetraborates,” Opt. Mater. 4, 669–674 (1995).
[CrossRef]

Ozheredov, I. A.

I. V. Shutov, I. A. Ozheredov, A. V. Shumitski, and A. S. Chirkin, “Second harmonic generation by femtosecond laser pulses in the Laue scheme,” Opt. Spectrosc. 105, 79–84 (2008).
[CrossRef]

Pasiskevicius, V.

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

Pedersen, K.

S. I. Bozhevolnyi, J. M. Hvam, K. Pedersen, F. Laurell, H. Karlsson, T. Skettrup, and M. Belmonte, “Second harmonic imaging of ferroelectric domain walls,” Appl. Phys. Lett. 73, 1814–1816 (1998).
[CrossRef]

Pisarevskiy, A. I.

Yu. S. Oseledchik, A. L. Prosvirnin, A. I. Pisarevskiy, V. V. Starshenko, V. V. Osadchuk, S. P. Belokrys, N. V. Svitanko, A. S. Korol, S. A. Krikunov, and A. F. Selevich, “New nonlinear optical crystals: strontium and lead tetraborates,” Opt. Mater. 4, 669–674 (1995).
[CrossRef]

Pospelov, G. I.

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, A. A. Ikonnikov, and G. I. Pospelov, “Ultrashort pulses characterization by nonlinear diffraction from virtual beam,” Appl. Phys. Lett. 98, 061104 (2011).
[CrossRef]

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, G. I. Pospelov, and V. V. Slabko, “Diagnostics of fs pulses by noncollinear random quasi-phase-matched frequency doubling,” Appl. Phys. Lett. 99, 211105 (2011).
[CrossRef]

Prosvirnin, A. L.

Yu. S. Oseledchik, A. L. Prosvirnin, A. I. Pisarevskiy, V. V. Starshenko, V. V. Osadchuk, S. P. Belokrys, N. V. Svitanko, A. S. Korol, S. A. Krikunov, and A. F. Selevich, “New nonlinear optical crystals: strontium and lead tetraborates,” Opt. Mater. 4, 669–674 (1995).
[CrossRef]

Qi, Z.

Y. Zhang, Z. D. Gao, Z. Qi, S. N. Zhu, and N. B. Ming, “Nonlinear Čerenkov radiation in nonlinear photonic crystal waveguides,” Phys. Rev. Lett. 100, 163904 (2008).
[CrossRef]

Ramírez, M. O.

L. Mateos, P. Molina, J. Galisteo, C. López, L. E. Bausá, and M. O. Ramírez, “Simultaneous generation of second to fifth harmonic conical beams in a two dimensional nonlinear photonic crystal,” Opt. Express 20, 29940–29948 (2012).
[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 (2009).
[CrossRef]

Ren, H.

H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Nonlinear Cherenkov radiation in an anomalous dispersive medium,” Phys. Rev. Lett. 108, 223901 (2012).
[CrossRef]

N. An, H. Ren, Y. Zheng, X. Deng, and X. Chen, “Cherenkov high-order harmonic generation by multistep cascading in χ(2) nonlinear photonic crystal,” Appl. Phys. Lett. 100, 221103 (2012).
[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. B 27, 1475–1480 (2010).
[CrossRef]

Ren, M.

Roedig, P.

Roppo, V.

Saleh, B. E. A.

M. B. Nasr, S. Carrasco, B. E. A. Saleh, A. V. Sergienko, M. C. Teich, J. P. Torres, L. Torner, D. S. Hum, and M. M. Fejer, “Ultrabroadband biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100, 183601 (2008).
[CrossRef]

Saltiel, S. M.

S. M. Saltiel, D. N. Neshev, W. Krolikowski, A. Arie, O. Bang, and Y. S. Kivshar, “Multiorder nonlinear diffraction in frequency doubling processes,” Opt. Lett. 34, 848–850 (2009).
[CrossRef]

S. M. Saltiel, D. N. Neshev, R. Fischer, W. Krolikowski, A. Arie, and Y. S. Kivshar, “Generation of second-harmonic conical waves via nonlinear Bragg diffraction,” Phys. Rev. Lett. 100, 103902 (2008).
[CrossRef]

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

Sasaki, K.

A. A. Kaminskii, H. Nishioka, K. Ueda, W. Odajima, M. Tateno, K. Sasaki, and A. V. Butashin, “Second-harmonic generation with Cherenkov-type phase matching in a bulk nonlinear LaBGeO5 crystal,” Quantum Electron. 26, 381–382 (1996).
[CrossRef]

Selevich, A. F.

Yu. S. Oseledchik, A. L. Prosvirnin, A. I. Pisarevskiy, V. V. Starshenko, V. V. Osadchuk, S. P. Belokrys, N. V. Svitanko, A. S. Korol, S. A. Krikunov, and A. F. Selevich, “New nonlinear optical crystals: strontium and lead tetraborates,” Opt. Mater. 4, 669–674 (1995).
[CrossRef]

Sergienko, A. V.

M. B. Nasr, S. Carrasco, B. E. A. Saleh, A. V. Sergienko, M. C. Teich, J. P. Torres, L. Torner, D. S. Hum, and M. M. Fejer, “Ultrabroadband biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100, 183601 (2008).
[CrossRef]

Shapira, A.

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]

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]

Y. Sheng, V. Roppo, M. Ren, K. Kalinowski, C. Cojocaru, J. Trull, Z. Li, K. Koynov, and W. Krolikowski, “Multi-directional Čerenkov second harmonic generation in two-dimensional nonlinear photonic crystal,” Opt. Express 20, 3948–3953 (2012).
[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]

Y. Sheng, Q. Kong, W. Wang, K. Kalinowski, and W. Krolikowski, “Theoretical investigations of nonlinear Raman–Nath diffraction in the frequency doubling process,” J. Phys. B 45, 055401 (2012).
[CrossRef]

K. Kalinowski, Q. Kong, V. Roppo, A. Arie, Y. Sheng, and W. Krolikowski, “Wavelength and position tuning of Čerenkov second-harmonic generation in optical superlattice,” Appl. Phys. Lett. 99, 181128 (2011).
[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. Express 18, 16539–16545 (2010).
[CrossRef]

Shiloh, R.

Shumilkina, O. A.

G. Brida, M. V. Chekhova, I. P. Degiovanni, M. Genovese, G. Kh. Kitaeva, A. Meda, and O. A. Shumilkina, “Chirped biphotons and their compression in optical fibers,” Phys. Rev. Lett. 103, 193602 (2009).
[CrossRef]

Shumitski, A. V.

I. V. Shutov, I. A. Ozheredov, A. V. Shumitski, and A. S. Chirkin, “Second harmonic generation by femtosecond laser pulses in the Laue scheme,” Opt. Spectrosc. 105, 79–84 (2008).
[CrossRef]

Shutov, I. V.

I. V. Shutov, I. A. Ozheredov, A. V. Shumitski, and A. S. Chirkin, “Second harmonic generation by femtosecond laser pulses in the Laue scheme,” Opt. Spectrosc. 105, 79–84 (2008).
[CrossRef]

Skettrup, T.

S. I. Bozhevolnyi, J. M. Hvam, K. Pedersen, F. Laurell, H. Karlsson, T. Skettrup, and M. Belmonte, “Second harmonic imaging of ferroelectric domain walls,” Appl. Phys. Lett. 73, 1814–1816 (1998).
[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]

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, G. I. Pospelov, and V. V. Slabko, “Diagnostics of fs pulses by noncollinear random quasi-phase-matched frequency doubling,” Appl. Phys. Lett. 99, 211105 (2011).
[CrossRef]

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, and V. V. Slabko, “Random quasi-phase-matched conversion of broadband radiation in a nonlinear photonic crystal,” Phys. Rev. A 82, 055806 (2010).
[CrossRef]

A. S. Aleksandrovsky, A. M. Vyunishev, V. V. Slabko, A. I. Zaitsev, and A. V. Zamkov, “Tunable femtosecond frequency doubling in random domain structure of strontium tetraborate,” Opt. Commun. 282, 2263–2266 (2009).
[CrossRef]

Starshenko, V. V.

Yu. S. Oseledchik, A. L. Prosvirnin, A. I. Pisarevskiy, V. V. Starshenko, V. V. Osadchuk, S. P. Belokrys, N. V. Svitanko, A. S. Korol, S. A. Krikunov, and A. F. Selevich, “New nonlinear optical crystals: strontium and lead tetraborates,” Opt. Mater. 4, 669–674 (1995).
[CrossRef]

Su, J.

C. Chen, J. Su, Y. Zhang, P. Xu, X. Hu, G. Zhao, Y. Liu, X. Lv, and S. Zhu, “Mode-coupling Cerenkov sum-frequency-generation in a multimode planar waveguide,” Appl. Phys. Lett. 97, 161112 (2010).
[CrossRef]

Svitanko, N. V.

Yu. S. Oseledchik, A. L. Prosvirnin, A. I. Pisarevskiy, V. V. Starshenko, V. V. Osadchuk, S. P. Belokrys, N. V. Svitanko, A. S. Korol, S. A. Krikunov, and A. F. Selevich, “New nonlinear optical crystals: strontium and lead tetraborates,” Opt. Mater. 4, 669–674 (1995).
[CrossRef]

Tateno, M.

A. A. Kaminskii, H. Nishioka, K. Ueda, W. Odajima, M. Tateno, K. Sasaki, and A. V. Butashin, “Second-harmonic generation with Cherenkov-type phase matching in a bulk nonlinear LaBGeO5 crystal,” Quantum Electron. 26, 381–382 (1996).
[CrossRef]

Teich, M. C.

M. B. Nasr, S. Carrasco, B. E. A. Saleh, A. V. Sergienko, M. C. Teich, J. P. Torres, L. Torner, D. S. Hum, and M. M. Fejer, “Ultrabroadband biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100, 183601 (2008).
[CrossRef]

Tien, P. K.

P. K. Tien, R. Ulrich, and R. J. Martin, “Optical second harmonic generation in form of coherent Cerenkov radiation from a thin-film waveguide,” Appl. Phys. Lett. 17, 447–450 (1970).
[CrossRef]

Torner, L.

M. B. Nasr, S. Carrasco, B. E. A. Saleh, A. V. Sergienko, M. C. Teich, J. P. Torres, L. Torner, D. S. Hum, and M. M. Fejer, “Ultrabroadband biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100, 183601 (2008).
[CrossRef]

Torres, J. P.

M. B. Nasr, S. Carrasco, B. E. A. Saleh, A. V. Sergienko, M. C. Teich, J. P. Torres, L. Torner, D. S. Hum, and M. M. Fejer, “Ultrabroadband biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100, 183601 (2008).
[CrossRef]

Trebino, R.

S. Akturk, X. Gu, P. Bowlan, and R. Trebino, “Spatio-temporal couplings in ultrashort laser pulses,” J. Opt. 12, 093001 (2010).
[CrossRef]

Trull, J.

Ueda, K.

A. A. Kaminskii, H. Nishioka, K. Ueda, W. Odajima, M. Tateno, K. Sasaki, and A. V. Butashin, “Second-harmonic generation with Cherenkov-type phase matching in a bulk nonlinear LaBGeO5 crystal,” Quantum Electron. 26, 381–382 (1996).
[CrossRef]

Ulrich, R.

P. K. Tien, R. Ulrich, and R. J. Martin, “Optical second harmonic generation in form of coherent Cerenkov radiation from a thin-film waveguide,” Appl. Phys. Lett. 17, 447–450 (1970).
[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]

A. S. Aleksandrovsky, A. M. Vyunishev, and A. I. Zaitsev, “Applications of random nonlinear photonic crystals based on strontium tetraborate,” Crystals 2, 1393–1409 (2012).
[CrossRef]

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, G. I. Pospelov, and V. V. Slabko, “Diagnostics of fs pulses by noncollinear random quasi-phase-matched frequency doubling,” Appl. Phys. Lett. 99, 211105 (2011).
[CrossRef]

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, A. A. Ikonnikov, and G. I. Pospelov, “Ultrashort pulses characterization by nonlinear diffraction from virtual beam,” Appl. Phys. Lett. 98, 061104 (2011).
[CrossRef]

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, and V. V. Slabko, “Random quasi-phase-matched conversion of broadband radiation in a nonlinear photonic crystal,” Phys. Rev. A 82, 055806 (2010).
[CrossRef]

A. S. Aleksandrovsky, A. M. Vyunishev, V. V. Slabko, A. I. Zaitsev, and A. V. Zamkov, “Tunable femtosecond frequency doubling in random domain structure of strontium tetraborate,” Opt. Commun. 282, 2263–2266 (2009).
[CrossRef]

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 (2009).
[CrossRef]

Wang, Q.

Wang, W.

Y. Sheng, Q. Kong, W. Wang, K. Kalinowski, and W. Krolikowski, “Theoretical investigations of nonlinear Raman–Nath diffraction in the frequency doubling process,” J. Phys. B 45, 055401 (2012).
[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 Čerenkov conical beams generation by cascaded-χ(2) processes in radially poled nonlinear photonic crystals,” Appl. Phys. Lett. 100, 101101 (2012).
[CrossRef]

C. Chen, J. Su, Y. Zhang, P. Xu, X. Hu, G. Zhao, Y. Liu, X. Lv, and S. Zhu, “Mode-coupling Cerenkov sum-frequency-generation in a multimode planar waveguide,” Appl. Phys. Lett. 97, 161112 (2010).
[CrossRef]

Zaitsev, A. I.

A. S. Aleksandrovsky, A. M. Vyunishev, and A. I. Zaitsev, “Applications of random nonlinear photonic crystals based on strontium tetraborate,” Crystals 2, 1393–1409 (2012).
[CrossRef]

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]

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, G. I. Pospelov, and V. V. Slabko, “Diagnostics of fs pulses by noncollinear random quasi-phase-matched frequency doubling,” Appl. Phys. Lett. 99, 211105 (2011).
[CrossRef]

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, A. A. Ikonnikov, and G. I. Pospelov, “Ultrashort pulses characterization by nonlinear diffraction from virtual beam,” Appl. Phys. Lett. 98, 061104 (2011).
[CrossRef]

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, and V. V. Slabko, “Random quasi-phase-matched conversion of broadband radiation in a nonlinear photonic crystal,” Phys. Rev. A 82, 055806 (2010).
[CrossRef]

A. S. Aleksandrovsky, A. M. Vyunishev, V. V. Slabko, A. I. Zaitsev, and A. V. Zamkov, “Tunable femtosecond frequency doubling in random domain structure of strontium tetraborate,” Opt. Commun. 282, 2263–2266 (2009).
[CrossRef]

Zamkov, A. V.

A. S. Aleksandrovsky, A. M. Vyunishev, V. V. Slabko, A. I. Zaitsev, and A. V. Zamkov, “Tunable femtosecond frequency doubling in random domain structure of strontium tetraborate,” Opt. Commun. 282, 2263–2266 (2009).
[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 (2009).
[CrossRef]

Zhang, Y.

C. Chen, J. Su, Y. Zhang, P. Xu, X. Hu, G. Zhao, Y. Liu, X. Lv, and S. Zhu, “Mode-coupling Cerenkov sum-frequency-generation in a multimode planar waveguide,” Appl. Phys. Lett. 97, 161112 (2010).
[CrossRef]

Y. Zhang, Z. D. Gao, Z. Qi, S. N. Zhu, and N. B. Ming, “Nonlinear Čerenkov radiation in nonlinear photonic crystal waveguides,” Phys. Rev. Lett. 100, 163904 (2008).
[CrossRef]

Zhao, G.

C. Chen, J. Su, Y. Zhang, P. Xu, X. Hu, G. Zhao, Y. Liu, X. Lv, and S. Zhu, “Mode-coupling Cerenkov sum-frequency-generation in a multimode planar waveguide,” Appl. Phys. Lett. 97, 161112 (2010).
[CrossRef]

Zheng, Y.

N. An, H. Ren, Y. Zheng, X. Deng, and X. Chen, “Cherenkov high-order harmonic generation by multistep cascading in χ(2) nonlinear photonic crystal,” Appl. Phys. Lett. 100, 221103 (2012).
[CrossRef]

H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Nonlinear Cherenkov radiation in an anomalous dispersive medium,” Phys. Rev. Lett. 108, 223901 (2012).
[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 Čerenkov conical beams generation by cascaded-χ(2) processes in radially poled nonlinear photonic crystals,” Appl. Phys. Lett. 100, 101101 (2012).
[CrossRef]

Zhu, S.

C. Chen, J. Su, Y. Zhang, P. Xu, X. Hu, G. Zhao, Y. Liu, X. Lv, and S. Zhu, “Mode-coupling Cerenkov sum-frequency-generation in a multimode planar waveguide,” Appl. Phys. Lett. 97, 161112 (2010).
[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 Čerenkov conical beams generation by cascaded-χ(2) processes in radially poled nonlinear photonic crystals,” Appl. Phys. Lett. 100, 101101 (2012).
[CrossRef]

Y. Zhang, Z. D. Gao, Z. Qi, S. N. Zhu, and N. B. Ming, “Nonlinear Čerenkov radiation in nonlinear photonic crystal waveguides,” Phys. Rev. Lett. 100, 163904 (2008).
[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. (13)

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 (2009).
[CrossRef]

P. K. Tien, R. Ulrich, and R. J. Martin, “Optical second harmonic generation in form of coherent Cerenkov radiation from a thin-film waveguide,” Appl. Phys. Lett. 17, 447–450 (1970).
[CrossRef]

C. Chen, J. Su, Y. Zhang, P. Xu, X. Hu, G. Zhao, Y. Liu, X. Lv, and S. Zhu, “Mode-coupling Cerenkov sum-frequency-generation in a multimode planar waveguide,” Appl. Phys. Lett. 97, 161112 (2010).
[CrossRef]

R. Fischer, S. M. Saltiel, D. N. Neshev, W. Krolikowski, and Yu. S. Kivshar, “Broadband femtosecond frequency doubling in random media,” Appl. Phys. Lett. 89, 191105 (2006).
[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 Čerenkov conical beams generation by cascaded-χ(2) processes in radially poled nonlinear photonic crystals,” Appl. Phys. Lett. 100, 101101 (2012).
[CrossRef]

N. An, H. Ren, Y. Zheng, X. Deng, and X. Chen, “Cherenkov high-order harmonic generation by multistep cascading in χ(2) nonlinear photonic crystal,” Appl. Phys. Lett. 100, 221103 (2012).
[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]

S. I. Bozhevolnyi, J. M. Hvam, K. Pedersen, F. Laurell, H. Karlsson, T. Skettrup, and M. Belmonte, “Second harmonic imaging of ferroelectric domain walls,” Appl. Phys. Lett. 73, 1814–1816 (1998).
[CrossRef]

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

K. Kalinowski, Q. Kong, V. Roppo, A. Arie, Y. Sheng, and W. Krolikowski, “Wavelength and position tuning of Čerenkov second-harmonic generation in optical superlattice,” Appl. Phys. Lett. 99, 181128 (2011).
[CrossRef]

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, A. A. Ikonnikov, and G. I. Pospelov, “Ultrashort pulses characterization by nonlinear diffraction from virtual beam,” Appl. Phys. Lett. 98, 061104 (2011).
[CrossRef]

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, G. I. Pospelov, and V. V. Slabko, “Diagnostics of fs pulses by noncollinear random quasi-phase-matched frequency doubling,” Appl. Phys. Lett. 99, 211105 (2011).
[CrossRef]

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]

Crystals (1)

A. S. Aleksandrovsky, A. M. Vyunishev, and A. I. Zaitsev, “Applications of random nonlinear photonic crystals based on strontium tetraborate,” Crystals 2, 1393–1409 (2012).
[CrossRef]

J. Opt. (1)

S. Akturk, X. Gu, P. Bowlan, and R. Trebino, “Spatio-temporal couplings in ultrashort laser pulses,” J. Opt. 12, 093001 (2010).
[CrossRef]

J. Opt. Soc. Am. B (2)

J. Phys. B (1)

Y. Sheng, Q. Kong, W. Wang, K. Kalinowski, and W. Krolikowski, “Theoretical investigations of nonlinear Raman–Nath diffraction in the frequency doubling process,” J. Phys. B 45, 055401 (2012).
[CrossRef]

Laser Phys. Lett. (1)

G. K. Kitaeva, “Terahertz generation by means of optical lasers,” Laser Phys. Lett. 5, 559–576 (2008).
[CrossRef]

Opt. Commun. (1)

A. S. Aleksandrovsky, A. M. Vyunishev, V. V. Slabko, A. I. Zaitsev, and A. V. Zamkov, “Tunable femtosecond frequency doubling in random domain structure of strontium tetraborate,” Opt. Commun. 282, 2263–2266 (2009).
[CrossRef]

Opt. Express (5)

Opt. Lett. (6)

Opt. Mater. (1)

Yu. S. Oseledchik, A. L. Prosvirnin, A. I. Pisarevskiy, V. V. Starshenko, V. V. Osadchuk, S. P. Belokrys, N. V. Svitanko, A. S. Korol, S. A. Krikunov, and A. F. Selevich, “New nonlinear optical crystals: strontium and lead tetraborates,” Opt. Mater. 4, 669–674 (1995).
[CrossRef]

Opt. Spectrosc. (1)

I. V. Shutov, I. A. Ozheredov, A. V. Shumitski, and A. S. Chirkin, “Second harmonic generation by femtosecond laser pulses in the Laue scheme,” Opt. Spectrosc. 105, 79–84 (2008).
[CrossRef]

Phys. Rev. A (1)

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, and V. V. Slabko, “Random quasi-phase-matched conversion of broadband radiation in a nonlinear photonic crystal,” Phys. Rev. A 82, 055806 (2010).
[CrossRef]

Phys. Rev. Lett. (7)

S. M. Saltiel, D. N. Neshev, R. Fischer, W. Krolikowski, A. Arie, and Y. S. Kivshar, “Generation of second-harmonic conical waves via nonlinear Bragg diffraction,” Phys. Rev. Lett. 100, 103902 (2008).
[CrossRef]

H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Nonlinear Cherenkov radiation in an anomalous dispersive medium,” Phys. Rev. Lett. 108, 223901 (2012).
[CrossRef]

I. Freund, “Nonlinear diffraction,” Phys. Rev. Lett. 21, 1404–1406 (1968).
[CrossRef]

M. B. Nasr, S. Carrasco, B. E. A. Saleh, A. V. Sergienko, M. C. Teich, J. P. Torres, L. Torner, D. S. Hum, and M. M. Fejer, “Ultrabroadband biphotons generated via chirped quasi-phase-matched optical parametric down-conversion,” Phys. Rev. Lett. 100, 183601 (2008).
[CrossRef]

G. Brida, M. V. Chekhova, I. P. Degiovanni, M. Genovese, G. Kh. Kitaeva, A. Meda, and O. A. Shumilkina, “Chirped biphotons and their compression in optical fibers,” Phys. Rev. Lett. 103, 193602 (2009).
[CrossRef]

Y. Zhang, Z. D. Gao, Z. Qi, S. N. Zhu, and N. B. Ming, “Nonlinear Čerenkov radiation in nonlinear photonic crystal waveguides,” Phys. Rev. Lett. 100, 163904 (2008).
[CrossRef]

V. Berger, “Nonlinear photonic crystals,” Phys. Rev. Lett. 81, 4136–4139 (1998).
[CrossRef]

Quantum Electron. (1)

A. A. Kaminskii, H. Nishioka, K. Ueda, W. Odajima, M. Tateno, K. Sasaki, and A. V. Butashin, “Second-harmonic generation with Cherenkov-type phase matching in a bulk nonlinear LaBGeO5 crystal,” Quantum Electron. 26, 381–382 (1996).
[CrossRef]

Supplementary Material (2)

» Media 1: MOV (3608 KB)     
» Media 2: MOV (2490 KB)     

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Figures (9)

Fig. 1.
Fig. 1.

Experimental setup for studying CND in the frequency (lower stage) and time (upper stage) domains (S, adjustable-width slit; DL, delay line). Domain walls lie in the crystallographic plane bc. Inset (bottom right): CND pattern on the screen.

Fig. 2.
Fig. 2.

Phase-matching diagram for NBD.

Fig. 3.
Fig. 3.

(a) Sinc function in Eq. (3), the normalized Fourier transform R(K,a) (semi-transparent), and the Gaussian envelope factor (solid line) in angle/wavelength coordinates; (b) resulting function S(Ω,K,z) and its projections to the angular and spectral coordinates. Data are presented in the range down to 30dB for clarity.

Fig. 4.
Fig. 4.

Measured SH spectrograms (a) without focusing and (b) with focusing by a 5 cm lens. The transverse spatial pitch is (a) 50 μm and (b) 1.25 μm. The vertical arrow indicates the fundamental beam position used in the following experiments.

Fig. 5.
Fig. 5.

(a), (c) Measured and (b), (d) calculated spectra of the SH (violet) and squared spectra of the FF (red) radiation for focusing by a 10 cm (top row) and 5 cm (bottom row) lens (with γ1=1; γ2=1.0035). The upper scale corresponds to the SH spectrum. The movie (Media 1) refers to (b).

Fig. 6.
Fig. 6.

Measured SH spectra at different slit widths.

Fig. 7.
Fig. 7.

Series of measured (blue) and calculated (red) local SH spectra for the slit position varies from 0.1 to 0.15 deg. The movie (Media 2) shows the variation of the local SH spectrum with slit position.

Fig. 8.
Fig. 8.

Measured SH spectra on the slit position with focusing by (a) a 10 cm and (b) a 5 cm lens. The background was excluded.

Fig. 9.
Fig. 9.

(a) Measured TH spectrum as a function of delay between the FF and SH pulses and (b) measured cross-correlation function (circles) fitted by the Gaussian (red) and sech2 (green) functions.

Equations (3)

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θ2=arccos(n1/n2),
(z+1u2t+i2k22x2)A2(t,z,x)=ig(x)β2A12F2(x)F12(t,z)exp(iΔkz),
S(Ω,K,z)=(|αz|)2exp(Ω2τ24)×sinc(z2(Δk+νΩK22k2))2R(K,a),

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