Abstract

We show that focusing a laser light onto the boundary between antiparallel ferroelectric domains leads to the non-collinear generation of two second harmonic (SH) beams. The beams are emitted in a plane normal to the domain boundaries at the angles that satisfy the Čerenkov-type phase matching condition. Moreover, these beam disappear when the laser light is focused on a homogenous part of a single domain. We utilize this effect for 3-dimensional visualization of fine details of the ferroelectric domain pattern with a submicron accuracy.

© 2010 Optical Society of America

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  1. M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, "Quasi-phase-matched second harmonic generation: tuning and tolerances," IEEE J. Quantum Electron. 28, 2631-2654 (1992).
    [CrossRef]
  2. S. Zhu, Y. Y. Zhu, and N. B. Ming, "Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice," Science 278, 843-846 (1997).
    [CrossRef]
  3. V. Berger, "Nonlinear Photonic Crystals," Phys. Rev. Lett. 81, 4136-4139 (1998).
    [CrossRef]
  4. N. G. R. Broderick, G.W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, "Hexagonally poled lithium niobate: a two-dimensional nonlinear photonic crystal," Phys. Rev. Lett. 84, 4345-4348 (2000).
    [CrossRef] [PubMed]
  5. Q1. T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, and A. Arie, "Nonlinear generation and manipulation of Airy beams," Nat. Photonics 3, 395-398 (2009).
    [CrossRef]
  6. P. Xu, S. H. Ji, S. N. Zhu, X. Q. Yu, J. Sun, H. T. Wang, J. L. He, Y. Y. Zhu, and N. B. Ming, "Conical second harmonic generation in a two-dimensional c(2) photonic crystal: a hexagonally poled LiTaO3 crystal," Phys. Rev. Lett. 93, 133904 (2004).
    [CrossRef] [PubMed]
  7. 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]
  8. A. R. Tunyagi, M. Ulex, and K. Betzler, "Noncolllinear optical frequency doubling in strontium barium niobate," Phys. Rev. Lett. 90, 243901 (2003).
    [CrossRef] [PubMed]
  9. Y. Zhang, F. M. Wang, K. Geren, S. N. Zhu, and M. Xiao, "Second-harmonic imaging from a modulated domain structure," Opt. Lett. 35, 178-180 (2010).
    [CrossRef] [PubMed]
  10. A. Fragemann, V. Pasiskevicius, and F. Laurell, "Second-order nonlinearites in the domain walls of periodically poled KTiOPO4," Appl. Phys. Lett. 85, 375-377 (2004).
    [CrossRef]
  11. S. Matsumoto, E. J. Lim, H. M. Hertz, and M. M. Fejer, "Quasiphase-matched second harmonic generation of blue light in electrically periodically-poled lithium tantalate waveguides," Electron. Lett. 27, 2040-2042 (1991).
    [CrossRef]
  12. J. A. Hooton andW. J. Merz, "Etch patterns and ferroelectric domains in BaTiO3 single crystal," Phys. Rev. 98, 409-413 (1955).
    [CrossRef]
  13. S. N. Zhu and W. W. Cao, "Direct observation of ferroelectric domains in LiTaO3 using environmental scanning electron microscopy," Phys. Rev. Lett. 79, 2558-2561 (1997).
    [CrossRef]
  14. T. Jungk, A. Hoffmann, and E. Soergel, "Contrast mechanisms for the detection of ferroelectric domains with scanning force microscopy," New J. Phys. 11, 033092 (2009).
    [CrossRef]
  15. Q2. E. Soergel, "Visualization of ferroelectric domains in bulk single crystals," Appl. Phys. 81, 729-752 (2005).
    [CrossRef]
  16. V. Y. Shur, E. L. Rumyantsev, R. G. Batchko, G. D. Miller, M. M. Fejer, and R. L. Byer, "Domain kinetics in the formation of a periodic domain structure in lithium niobate," Phys. Solid State 41, 1681-1687 (1999).
    [CrossRef]
  17. G. Rosenman, K. Garb, A. Skliar, M. Oron, D. Eger, and M. Katz, "Domain broadening in quasi-phase-matched nonlinear optical devices," Appl. Phys. Lett. 73, 865-867 (1998).
    [CrossRef]
  18. Y. Sheng, T. Wang, B. Q. Ma, E. Qu, B. Cheng, and D. Zhang, "Anisotropy of domain broadening in periodically poled lithium niobate crystal," Appl. Phys. Lett. 88, 041121 (2006).
    [CrossRef]
  19. P. G. Ni, B. Q. Ma, X. H. Wang, B. Cheng, and D. Zhang, "Second-harmonic generation in two-dimensional periodically poled lithium niobate using second-order quasiphase matching," Appl. Phys. Lett. 82, 4230-4232 (2003).
    [CrossRef]
  20. S. I. Bozhevolnyi, J. M. Hvam, K. Pedersen, F. Laurell, H. Karlsson, T. Skettrup, and M. Belmonte, "Secondharmonic imaging of ferroelectric domain walls," Appl. Phys. Lett. 73, 1814-1816 (1998).
    [CrossRef]
  21. V. Grubsky, S. MacCormack, and J. Feinberg, "All-optical three-dimensional mapping of 180± domains hidden in a BaTiO3 crystal," Opt. Lett. 21, 6-8 (1996).
    [CrossRef] [PubMed]
  22. J. Harris, G. Norris, and G. McConnell, "Characterization of periodically poled materials using nonlinear microscopy," Opt. Express 16, 5667-5672 (2008).
    [CrossRef] [PubMed]
  23. Q3. M. Fl¨orsheimer, R. Paschotta, U. Kubitscheck, C. Brillert, D. Hofmann, L. Heuer, G. Schreiber, C. Verbeek, W. Sohler and H. Fuchs, "Second-harmonic imaging of ferroelectric domains in LiNbO3 with micron resolution in lateral and axial directions,"Appl. Phys. B-Lasers Opt. 67, 593-599 (1998).
    [CrossRef]
  24. Q4. A. Rosenfeldt and M. Florsheimer, "Nondestructive remote imaging of ferroelectric domain distributions with high three-dimensional resolution," Appl. Phys. B-Lasers Opt. 73, 523-529 (2001).
  25. Y. Uesu, H. Yokota, S. Kawado, S. Kawado, J. Kaneshiro, S. Kurimura, and N. Kato, "Three-dimensional observation of periodically poled domains in a LiTaO3 quasiphase matching crystal by second-harmonic generation microscope," Appl. Phys. Lett. 91, 182904 (2007).
    [CrossRef]
  26. Q5. Y. Sheng, J. Dou, B. Cheng and D. Zhang, "Effective generation of red-green-blue laser in a two-dimensional decagonal photonic superlattice," Appl. Phys. B-Lasers Opt. 87, 603-606 (2007).
    [CrossRef]
  27. Y. Sheng, K. Koynov, and D. Zhang, "Collinear second harmonic generation of 20 wavelengths in a single twodimensional decagonal nonlinear photonic quasi-crystal," Opt. Commun. 282, 3602-3606 (2009).
    [CrossRef]
  28. G. J. Edwards and M. Lawrence, "A temperature-dependent dispersion equation for congruently grown lithium niobate," Opt. Quantum Electron. 16, 373-375 (1984).
    [CrossRef]
  29. X. Deng, H. Ren, Y. Zheng, K. Liu, and X. Chen, "Significantly enhanced second order nonlinearity in domain walls of ferroelectrics," Phys. Opt. arXiv:1005.2925v1 (2010).
  30. K. Hayata, K. Yanagawa, and M. Koshiba, "Enhancement of the guided-wave second-harmonic generation in the form of Cerenkov radiation," Appl. Phys. Lett. 56, 206-208 (1990).
    [CrossRef]
  31. Y. Sheng, S. M. Saltiel, and K. Koynov, "Cascaded third-harmonic generation in a single short-range-ordered nonlinear photonic crystal," Opt. Lett. 34, 656-658 (2009).
    [CrossRef] [PubMed]
  32. Y. Sheng, J. Dou, B. Ma, B. Cheng, and D. Zhang, "Broadband efficient second harmonic generation in media with a short-range order," Appl. Phys. Lett. 91, 011101 (2007).
    [CrossRef]
  33. Y. Sheng, J. Dou, B. Ma, J. Li, D. Ma, B. Cheng, and D. Zhang, "Temperature and angle tuning of second harmonic generation in media with a short-range order, " Appl. Phys. Lett. 91, 101109 (2007).
    [CrossRef]
  34. A. Bahabad, A. Ganany-Padowicz, and A. Arie, "Engineering two-dimensional nonlinear photonic quasi-crystal," Opt. Lett. 33, 1386-1388 (2008).
    [CrossRef] [PubMed]
  35. I. Juwiler and A. Arie, "Efficient frequency doubling by a phase-compensated crystal in a semimonolithic cavity," Appl. Opt. 42, 7163-7169 (2003).
    [CrossRef]
  36. 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]
  37. W. Wang, K. Kalinowski, Y. Kong, C. Cojocaru, J. Trull, R. Vilaseca, M. Scalora, W. Krolikowski, and Y. S. Kivshar, "Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media," Opt. Express. 17, 20117 (2009).
    [CrossRef] [PubMed]

2010 (1)

Y. Zhang, F. M. Wang, K. Geren, S. N. Zhu, and M. Xiao, "Second-harmonic imaging from a modulated domain structure," Opt. Lett. 35, 178-180 (2010).
[CrossRef] [PubMed]

2009 (6)

T. Jungk, A. Hoffmann, and E. Soergel, "Contrast mechanisms for the detection of ferroelectric domains with scanning force microscopy," New J. Phys. 11, 033092 (2009).
[CrossRef]

Q1. T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, and A. Arie, "Nonlinear generation and manipulation of Airy beams," Nat. Photonics 3, 395-398 (2009).
[CrossRef]

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

Y. Sheng, K. Koynov, and D. Zhang, "Collinear second harmonic generation of 20 wavelengths in a single twodimensional decagonal nonlinear photonic quasi-crystal," Opt. Commun. 282, 3602-3606 (2009).
[CrossRef]

Y. Sheng, S. M. Saltiel, and K. Koynov, "Cascaded third-harmonic generation in a single short-range-ordered nonlinear photonic crystal," Opt. Lett. 34, 656-658 (2009).
[CrossRef] [PubMed]

W. Wang, K. Kalinowski, Y. Kong, C. Cojocaru, J. Trull, R. Vilaseca, M. Scalora, W. Krolikowski, and Y. S. Kivshar, "Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media," Opt. Express. 17, 20117 (2009).
[CrossRef] [PubMed]

2008 (2)

A. Bahabad, A. Ganany-Padowicz, and A. Arie, "Engineering two-dimensional nonlinear photonic quasi-crystal," Opt. Lett. 33, 1386-1388 (2008).
[CrossRef] [PubMed]

J. Harris, G. Norris, and G. McConnell, "Characterization of periodically poled materials using nonlinear microscopy," Opt. Express 16, 5667-5672 (2008).
[CrossRef] [PubMed]

2007 (4)

Y. Sheng, J. Dou, B. Ma, B. Cheng, and D. Zhang, "Broadband efficient second harmonic generation in media with a short-range order," Appl. Phys. Lett. 91, 011101 (2007).
[CrossRef]

Y. Sheng, J. Dou, B. Ma, J. Li, D. Ma, B. Cheng, and D. Zhang, "Temperature and angle tuning of second harmonic generation in media with a short-range order, " Appl. Phys. Lett. 91, 101109 (2007).
[CrossRef]

Y. Uesu, H. Yokota, S. Kawado, S. Kawado, J. Kaneshiro, S. Kurimura, and N. Kato, "Three-dimensional observation of periodically poled domains in a LiTaO3 quasiphase matching crystal by second-harmonic generation microscope," Appl. Phys. Lett. 91, 182904 (2007).
[CrossRef]

Q5. Y. Sheng, J. Dou, B. Cheng and D. Zhang, "Effective generation of red-green-blue laser in a two-dimensional decagonal photonic superlattice," Appl. Phys. B-Lasers Opt. 87, 603-606 (2007).
[CrossRef]

2006 (2)

Y. Sheng, T. Wang, B. Q. Ma, E. Qu, B. Cheng, and D. Zhang, "Anisotropy of domain broadening in periodically poled lithium niobate crystal," Appl. Phys. Lett. 88, 041121 (2006).
[CrossRef]

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

2005 (1)

Q2. E. Soergel, "Visualization of ferroelectric domains in bulk single crystals," Appl. Phys. 81, 729-752 (2005).
[CrossRef]

2004 (2)

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

P. Xu, S. H. Ji, S. N. Zhu, X. Q. Yu, J. Sun, H. T. Wang, J. L. He, Y. Y. Zhu, and N. B. Ming, "Conical second harmonic generation in a two-dimensional c(2) photonic crystal: a hexagonally poled LiTaO3 crystal," Phys. Rev. Lett. 93, 133904 (2004).
[CrossRef] [PubMed]

2003 (3)

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

P. G. Ni, B. Q. Ma, X. H. Wang, B. Cheng, and D. Zhang, "Second-harmonic generation in two-dimensional periodically poled lithium niobate using second-order quasiphase matching," Appl. Phys. Lett. 82, 4230-4232 (2003).
[CrossRef]

I. Juwiler and A. Arie, "Efficient frequency doubling by a phase-compensated crystal in a semimonolithic cavity," Appl. Opt. 42, 7163-7169 (2003).
[CrossRef]

2001 (1)

Q4. A. Rosenfeldt and M. Florsheimer, "Nondestructive remote imaging of ferroelectric domain distributions with high three-dimensional resolution," Appl. Phys. B-Lasers Opt. 73, 523-529 (2001).

2000 (1)

N. G. R. Broderick, G.W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, "Hexagonally poled lithium niobate: a two-dimensional nonlinear photonic crystal," Phys. Rev. Lett. 84, 4345-4348 (2000).
[CrossRef] [PubMed]

1999 (1)

V. Y. Shur, E. L. Rumyantsev, R. G. Batchko, G. D. Miller, M. M. Fejer, and R. L. Byer, "Domain kinetics in the formation of a periodic domain structure in lithium niobate," Phys. Solid State 41, 1681-1687 (1999).
[CrossRef]

1998 (4)

G. Rosenman, K. Garb, A. Skliar, M. Oron, D. Eger, and M. Katz, "Domain broadening in quasi-phase-matched nonlinear optical devices," Appl. Phys. Lett. 73, 865-867 (1998).
[CrossRef]

V. Berger, "Nonlinear Photonic Crystals," Phys. Rev. Lett. 81, 4136-4139 (1998).
[CrossRef]

Q3. M. Fl¨orsheimer, R. Paschotta, U. Kubitscheck, C. Brillert, D. Hofmann, L. Heuer, G. Schreiber, C. Verbeek, W. Sohler and H. Fuchs, "Second-harmonic imaging of ferroelectric domains in LiNbO3 with micron resolution in lateral and axial directions,"Appl. Phys. B-Lasers Opt. 67, 593-599 (1998).
[CrossRef]

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

1997 (2)

S. N. Zhu and W. W. Cao, "Direct observation of ferroelectric domains in LiTaO3 using environmental scanning electron microscopy," Phys. Rev. Lett. 79, 2558-2561 (1997).
[CrossRef]

S. Zhu, Y. Y. Zhu, and N. B. Ming, "Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice," Science 278, 843-846 (1997).
[CrossRef]

1996 (1)

V. Grubsky, S. MacCormack, and J. Feinberg, "All-optical three-dimensional mapping of 180± domains hidden in a BaTiO3 crystal," Opt. Lett. 21, 6-8 (1996).
[CrossRef] [PubMed]

1992 (1)

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

1991 (1)

S. Matsumoto, E. J. Lim, H. M. Hertz, and M. M. Fejer, "Quasiphase-matched second harmonic generation of blue light in electrically periodically-poled lithium tantalate waveguides," Electron. Lett. 27, 2040-2042 (1991).
[CrossRef]

1990 (1)

K. Hayata, K. Yanagawa, and M. Koshiba, "Enhancement of the guided-wave second-harmonic generation in the form of Cerenkov radiation," Appl. Phys. Lett. 56, 206-208 (1990).
[CrossRef]

1984 (1)

G. J. Edwards and M. Lawrence, "A temperature-dependent dispersion equation for congruently grown lithium niobate," Opt. Quantum Electron. 16, 373-375 (1984).
[CrossRef]

1955 (1)

J. A. Hooton andW. J. Merz, "Etch patterns and ferroelectric domains in BaTiO3 single crystal," Phys. Rev. 98, 409-413 (1955).
[CrossRef]

Arie, A.

Q1. T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, and A. Arie, "Nonlinear generation and manipulation of Airy beams," Nat. Photonics 3, 395-398 (2009).
[CrossRef]

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

A. Bahabad, A. Ganany-Padowicz, and A. Arie, "Engineering two-dimensional nonlinear photonic quasi-crystal," Opt. Lett. 33, 1386-1388 (2008).
[CrossRef] [PubMed]

I. Juwiler and A. Arie, "Efficient frequency doubling by a phase-compensated crystal in a semimonolithic cavity," Appl. Opt. 42, 7163-7169 (2003).
[CrossRef]

Bahabad, A.

A. Bahabad, A. Ganany-Padowicz, and A. Arie, "Engineering two-dimensional nonlinear photonic quasi-crystal," Opt. Lett. 33, 1386-1388 (2008).
[CrossRef] [PubMed]

Batchko, R. G.

V. Y. Shur, E. L. Rumyantsev, R. G. Batchko, G. D. Miller, M. M. Fejer, and R. L. Byer, "Domain kinetics in the formation of a periodic domain structure in lithium niobate," Phys. Solid State 41, 1681-1687 (1999).
[CrossRef]

Belmonte, M.

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

Berger, V.

V. Berger, "Nonlinear Photonic Crystals," Phys. Rev. Lett. 81, 4136-4139 (1998).
[CrossRef]

Betzler, K.

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

Bozhevolnyi, S. I.

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

Brillert, C.

Q3. M. Fl¨orsheimer, R. Paschotta, U. Kubitscheck, C. Brillert, D. Hofmann, L. Heuer, G. Schreiber, C. Verbeek, W. Sohler and H. Fuchs, "Second-harmonic imaging of ferroelectric domains in LiNbO3 with micron resolution in lateral and axial directions,"Appl. Phys. B-Lasers Opt. 67, 593-599 (1998).
[CrossRef]

Broderick, N. G. R.

N. G. R. Broderick, G.W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, "Hexagonally poled lithium niobate: a two-dimensional nonlinear photonic crystal," Phys. Rev. Lett. 84, 4345-4348 (2000).
[CrossRef] [PubMed]

Byer, R. L.

V. Y. Shur, E. L. Rumyantsev, R. G. Batchko, G. D. Miller, M. M. Fejer, and R. L. Byer, "Domain kinetics in the formation of a periodic domain structure in lithium niobate," Phys. Solid State 41, 1681-1687 (1999).
[CrossRef]

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

Cao, W. W.

S. N. Zhu and W. W. Cao, "Direct observation of ferroelectric domains in LiTaO3 using environmental scanning electron microscopy," Phys. Rev. Lett. 79, 2558-2561 (1997).
[CrossRef]

Cheng, B.

Q5. Y. Sheng, J. Dou, B. Cheng and D. Zhang, "Effective generation of red-green-blue laser in a two-dimensional decagonal photonic superlattice," Appl. Phys. B-Lasers Opt. 87, 603-606 (2007).
[CrossRef]

Y. Sheng, J. Dou, B. Ma, B. Cheng, and D. Zhang, "Broadband efficient second harmonic generation in media with a short-range order," Appl. Phys. Lett. 91, 011101 (2007).
[CrossRef]

Y. Sheng, J. Dou, B. Ma, J. Li, D. Ma, B. Cheng, and D. Zhang, "Temperature and angle tuning of second harmonic generation in media with a short-range order, " Appl. Phys. Lett. 91, 101109 (2007).
[CrossRef]

Y. Sheng, T. Wang, B. Q. Ma, E. Qu, B. Cheng, and D. Zhang, "Anisotropy of domain broadening in periodically poled lithium niobate crystal," Appl. Phys. Lett. 88, 041121 (2006).
[CrossRef]

P. G. Ni, B. Q. Ma, X. H. Wang, B. Cheng, and D. Zhang, "Second-harmonic generation in two-dimensional periodically poled lithium niobate using second-order quasiphase matching," Appl. Phys. Lett. 82, 4230-4232 (2003).
[CrossRef]

Cojocaru, C.

W. Wang, K. Kalinowski, Y. Kong, C. Cojocaru, J. Trull, R. Vilaseca, M. Scalora, W. Krolikowski, and Y. S. Kivshar, "Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media," Opt. Express. 17, 20117 (2009).
[CrossRef] [PubMed]

Dou, J.

Y. Sheng, J. Dou, B. Ma, J. Li, D. Ma, B. Cheng, and D. Zhang, "Temperature and angle tuning of second harmonic generation in media with a short-range order, " Appl. Phys. Lett. 91, 101109 (2007).
[CrossRef]

Y. Sheng, J. Dou, B. Ma, B. Cheng, and D. Zhang, "Broadband efficient second harmonic generation in media with a short-range order," Appl. Phys. Lett. 91, 011101 (2007).
[CrossRef]

Q5. Y. Sheng, J. Dou, B. Cheng and D. Zhang, "Effective generation of red-green-blue laser in a two-dimensional decagonal photonic superlattice," Appl. Phys. B-Lasers Opt. 87, 603-606 (2007).
[CrossRef]

Edwards, G. J.

G. J. Edwards and M. Lawrence, "A temperature-dependent dispersion equation for congruently grown lithium niobate," Opt. Quantum Electron. 16, 373-375 (1984).
[CrossRef]

Eger, D.

G. Rosenman, K. Garb, A. Skliar, M. Oron, D. Eger, and M. Katz, "Domain broadening in quasi-phase-matched nonlinear optical devices," Appl. Phys. Lett. 73, 865-867 (1998).
[CrossRef]

Ellenbogen, T.

Q1. T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, and A. Arie, "Nonlinear generation and manipulation of Airy beams," Nat. Photonics 3, 395-398 (2009).
[CrossRef]

Feinberg, J.

V. Grubsky, S. MacCormack, and J. Feinberg, "All-optical three-dimensional mapping of 180± domains hidden in a BaTiO3 crystal," Opt. Lett. 21, 6-8 (1996).
[CrossRef] [PubMed]

Fejer, M. M.

V. Y. Shur, E. L. Rumyantsev, R. G. Batchko, G. D. Miller, M. M. Fejer, and R. L. Byer, "Domain kinetics in the formation of a periodic domain structure in lithium niobate," Phys. Solid State 41, 1681-1687 (1999).
[CrossRef]

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

S. Matsumoto, E. J. Lim, H. M. Hertz, and M. M. Fejer, "Quasiphase-matched second harmonic generation of blue light in electrically periodically-poled lithium tantalate waveguides," Electron. Lett. 27, 2040-2042 (1991).
[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]

Fl¨orsheimer, M.

Q3. M. Fl¨orsheimer, R. Paschotta, U. Kubitscheck, C. Brillert, D. Hofmann, L. Heuer, G. Schreiber, C. Verbeek, W. Sohler and H. Fuchs, "Second-harmonic imaging of ferroelectric domains in LiNbO3 with micron resolution in lateral and axial directions,"Appl. Phys. B-Lasers Opt. 67, 593-599 (1998).
[CrossRef]

Florsheimer, M.

Q4. A. Rosenfeldt and M. Florsheimer, "Nondestructive remote imaging of ferroelectric domain distributions with high three-dimensional resolution," Appl. Phys. B-Lasers Opt. 73, 523-529 (2001).

Fragemann, A.

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

Fuchs, H.

Q3. M. Fl¨orsheimer, R. Paschotta, U. Kubitscheck, C. Brillert, D. Hofmann, L. Heuer, G. Schreiber, C. Verbeek, W. Sohler and H. Fuchs, "Second-harmonic imaging of ferroelectric domains in LiNbO3 with micron resolution in lateral and axial directions,"Appl. Phys. B-Lasers Opt. 67, 593-599 (1998).
[CrossRef]

Ganany-Padowicz, A.

Q1. T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, and A. Arie, "Nonlinear generation and manipulation of Airy beams," Nat. Photonics 3, 395-398 (2009).
[CrossRef]

A. Bahabad, A. Ganany-Padowicz, and A. Arie, "Engineering two-dimensional nonlinear photonic quasi-crystal," Opt. Lett. 33, 1386-1388 (2008).
[CrossRef] [PubMed]

Garb, K.

G. Rosenman, K. Garb, A. Skliar, M. Oron, D. Eger, and M. Katz, "Domain broadening in quasi-phase-matched nonlinear optical devices," Appl. Phys. Lett. 73, 865-867 (1998).
[CrossRef]

Geren, K.

Y. Zhang, F. M. Wang, K. Geren, S. N. Zhu, and M. Xiao, "Second-harmonic imaging from a modulated domain structure," Opt. Lett. 35, 178-180 (2010).
[CrossRef] [PubMed]

Grubsky, V.

V. Grubsky, S. MacCormack, and J. Feinberg, "All-optical three-dimensional mapping of 180± domains hidden in a BaTiO3 crystal," Opt. Lett. 21, 6-8 (1996).
[CrossRef] [PubMed]

Hanna, D. C.

N. G. R. Broderick, G.W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, "Hexagonally poled lithium niobate: a two-dimensional nonlinear photonic crystal," Phys. Rev. Lett. 84, 4345-4348 (2000).
[CrossRef] [PubMed]

Harris, J.

J. Harris, G. Norris, and G. McConnell, "Characterization of periodically poled materials using nonlinear microscopy," Opt. Express 16, 5667-5672 (2008).
[CrossRef] [PubMed]

Hayata, K.

K. Hayata, K. Yanagawa, and M. Koshiba, "Enhancement of the guided-wave second-harmonic generation in the form of Cerenkov radiation," Appl. Phys. Lett. 56, 206-208 (1990).
[CrossRef]

He, J. L.

P. Xu, S. H. Ji, S. N. Zhu, X. Q. Yu, J. Sun, H. T. Wang, J. L. He, Y. Y. Zhu, and N. B. Ming, "Conical second harmonic generation in a two-dimensional c(2) photonic crystal: a hexagonally poled LiTaO3 crystal," Phys. Rev. Lett. 93, 133904 (2004).
[CrossRef] [PubMed]

Hertz, H. M.

S. Matsumoto, E. J. Lim, H. M. Hertz, and M. M. Fejer, "Quasiphase-matched second harmonic generation of blue light in electrically periodically-poled lithium tantalate waveguides," Electron. Lett. 27, 2040-2042 (1991).
[CrossRef]

Heuer, L.

Q3. M. Fl¨orsheimer, R. Paschotta, U. Kubitscheck, C. Brillert, D. Hofmann, L. Heuer, G. Schreiber, C. Verbeek, W. Sohler and H. Fuchs, "Second-harmonic imaging of ferroelectric domains in LiNbO3 with micron resolution in lateral and axial directions,"Appl. Phys. B-Lasers Opt. 67, 593-599 (1998).
[CrossRef]

Hoffmann, A.

T. Jungk, A. Hoffmann, and E. Soergel, "Contrast mechanisms for the detection of ferroelectric domains with scanning force microscopy," New J. Phys. 11, 033092 (2009).
[CrossRef]

Hofmann, D.

Q3. M. Fl¨orsheimer, R. Paschotta, U. Kubitscheck, C. Brillert, D. Hofmann, L. Heuer, G. Schreiber, C. Verbeek, W. Sohler and H. Fuchs, "Second-harmonic imaging of ferroelectric domains in LiNbO3 with micron resolution in lateral and axial directions,"Appl. Phys. B-Lasers Opt. 67, 593-599 (1998).
[CrossRef]

Hooton, J. A.

J. A. Hooton andW. J. Merz, "Etch patterns and ferroelectric domains in BaTiO3 single crystal," Phys. Rev. 98, 409-413 (1955).
[CrossRef]

Hvam, J. M.

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

Ji, S. H.

P. Xu, S. H. Ji, S. N. Zhu, X. Q. Yu, J. Sun, H. T. Wang, J. L. He, Y. Y. Zhu, and N. B. Ming, "Conical second harmonic generation in a two-dimensional c(2) photonic crystal: a hexagonally poled LiTaO3 crystal," Phys. Rev. Lett. 93, 133904 (2004).
[CrossRef] [PubMed]

Jundt, D. H.

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

Jungk, T.

T. Jungk, A. Hoffmann, and E. Soergel, "Contrast mechanisms for the detection of ferroelectric domains with scanning force microscopy," New J. Phys. 11, 033092 (2009).
[CrossRef]

Juwiler, I.

I. Juwiler and A. Arie, "Efficient frequency doubling by a phase-compensated crystal in a semimonolithic cavity," Appl. Opt. 42, 7163-7169 (2003).
[CrossRef]

Kalinowski, K.

W. Wang, K. Kalinowski, Y. Kong, C. Cojocaru, J. Trull, R. Vilaseca, M. Scalora, W. Krolikowski, and Y. S. Kivshar, "Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media," Opt. Express. 17, 20117 (2009).
[CrossRef] [PubMed]

Kaneshiro, J.

Y. Uesu, H. Yokota, S. Kawado, S. Kawado, J. Kaneshiro, S. Kurimura, and N. Kato, "Three-dimensional observation of periodically poled domains in a LiTaO3 quasiphase matching crystal by second-harmonic generation microscope," Appl. Phys. Lett. 91, 182904 (2007).
[CrossRef]

Karlsson, H.

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

Kato, N.

Y. Uesu, H. Yokota, S. Kawado, S. Kawado, J. Kaneshiro, S. Kurimura, and N. Kato, "Three-dimensional observation of periodically poled domains in a LiTaO3 quasiphase matching crystal by second-harmonic generation microscope," Appl. Phys. Lett. 91, 182904 (2007).
[CrossRef]

Katz, M.

G. Rosenman, K. Garb, A. Skliar, M. Oron, D. Eger, and M. Katz, "Domain broadening in quasi-phase-matched nonlinear optical devices," Appl. Phys. Lett. 73, 865-867 (1998).
[CrossRef]

Kawado, S.

Y. Uesu, H. Yokota, S. Kawado, S. Kawado, J. Kaneshiro, S. Kurimura, and N. Kato, "Three-dimensional observation of periodically poled domains in a LiTaO3 quasiphase matching crystal by second-harmonic generation microscope," Appl. Phys. Lett. 91, 182904 (2007).
[CrossRef]

Y. Uesu, H. Yokota, S. Kawado, S. Kawado, J. Kaneshiro, S. Kurimura, and N. Kato, "Three-dimensional observation of periodically poled domains in a LiTaO3 quasiphase matching crystal by second-harmonic generation microscope," Appl. Phys. Lett. 91, 182904 (2007).
[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]

W. Wang, K. Kalinowski, Y. Kong, C. Cojocaru, J. Trull, R. Vilaseca, M. Scalora, W. Krolikowski, and Y. S. Kivshar, "Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media," Opt. Express. 17, 20117 (2009).
[CrossRef] [PubMed]

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

Kong, Y.

W. Wang, K. Kalinowski, Y. Kong, C. Cojocaru, J. Trull, R. Vilaseca, M. Scalora, W. Krolikowski, and Y. S. Kivshar, "Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media," Opt. Express. 17, 20117 (2009).
[CrossRef] [PubMed]

Koshiba, M.

K. Hayata, K. Yanagawa, and M. Koshiba, "Enhancement of the guided-wave second-harmonic generation in the form of Cerenkov radiation," Appl. Phys. Lett. 56, 206-208 (1990).
[CrossRef]

Koynov, K.

Y. Sheng, S. M. Saltiel, and K. Koynov, "Cascaded third-harmonic generation in a single short-range-ordered nonlinear photonic crystal," Opt. Lett. 34, 656-658 (2009).
[CrossRef] [PubMed]

Y. Sheng, K. Koynov, and D. Zhang, "Collinear second harmonic generation of 20 wavelengths in a single twodimensional decagonal nonlinear photonic quasi-crystal," Opt. Commun. 282, 3602-3606 (2009).
[CrossRef]

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

Krolikowski, W.

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

W. Wang, K. Kalinowski, Y. Kong, C. Cojocaru, J. Trull, R. Vilaseca, M. Scalora, W. Krolikowski, and Y. S. Kivshar, "Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media," Opt. Express. 17, 20117 (2009).
[CrossRef] [PubMed]

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

Kubitscheck, U.

Q3. M. Fl¨orsheimer, R. Paschotta, U. Kubitscheck, C. Brillert, D. Hofmann, L. Heuer, G. Schreiber, C. Verbeek, W. Sohler and H. Fuchs, "Second-harmonic imaging of ferroelectric domains in LiNbO3 with micron resolution in lateral and axial directions,"Appl. Phys. B-Lasers Opt. 67, 593-599 (1998).
[CrossRef]

Kurimura, S.

Y. Uesu, H. Yokota, S. Kawado, S. Kawado, J. Kaneshiro, S. Kurimura, and N. Kato, "Three-dimensional observation of periodically poled domains in a LiTaO3 quasiphase matching crystal by second-harmonic generation microscope," Appl. Phys. Lett. 91, 182904 (2007).
[CrossRef]

Laurell, F.

A. Fragemann, V. Pasiskevicius, and F. Laurell, "Second-order nonlinearites in the 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, "Secondharmonic imaging of ferroelectric domain walls," Appl. Phys. Lett. 73, 1814-1816 (1998).
[CrossRef]

Lawrence, M.

G. J. Edwards and M. Lawrence, "A temperature-dependent dispersion equation for congruently grown lithium niobate," Opt. Quantum Electron. 16, 373-375 (1984).
[CrossRef]

Li, J.

Y. Sheng, J. Dou, B. Ma, J. Li, D. Ma, B. Cheng, and D. Zhang, "Temperature and angle tuning of second harmonic generation in media with a short-range order, " Appl. Phys. Lett. 91, 101109 (2007).
[CrossRef]

Lim, E. J.

S. Matsumoto, E. J. Lim, H. M. Hertz, and M. M. Fejer, "Quasiphase-matched second harmonic generation of blue light in electrically periodically-poled lithium tantalate waveguides," Electron. Lett. 27, 2040-2042 (1991).
[CrossRef]

Ma, B.

Y. Sheng, J. Dou, B. Ma, J. Li, D. Ma, B. Cheng, and D. Zhang, "Temperature and angle tuning of second harmonic generation in media with a short-range order, " Appl. Phys. Lett. 91, 101109 (2007).
[CrossRef]

Y. Sheng, J. Dou, B. Ma, B. Cheng, and D. Zhang, "Broadband efficient second harmonic generation in media with a short-range order," Appl. Phys. Lett. 91, 011101 (2007).
[CrossRef]

Ma, B. Q.

Y. Sheng, T. Wang, B. Q. Ma, E. Qu, B. Cheng, and D. Zhang, "Anisotropy of domain broadening in periodically poled lithium niobate crystal," Appl. Phys. Lett. 88, 041121 (2006).
[CrossRef]

P. G. Ni, B. Q. Ma, X. H. Wang, B. Cheng, and D. Zhang, "Second-harmonic generation in two-dimensional periodically poled lithium niobate using second-order quasiphase matching," Appl. Phys. Lett. 82, 4230-4232 (2003).
[CrossRef]

Ma, D.

Y. Sheng, J. Dou, B. Ma, J. Li, D. Ma, B. Cheng, and D. Zhang, "Temperature and angle tuning of second harmonic generation in media with a short-range order, " Appl. Phys. Lett. 91, 101109 (2007).
[CrossRef]

MacCormack, S.

V. Grubsky, S. MacCormack, and J. Feinberg, "All-optical three-dimensional mapping of 180± domains hidden in a BaTiO3 crystal," Opt. Lett. 21, 6-8 (1996).
[CrossRef] [PubMed]

Magel, G. A.

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

Matsumoto, S.

S. Matsumoto, E. J. Lim, H. M. Hertz, and M. M. Fejer, "Quasiphase-matched second harmonic generation of blue light in electrically periodically-poled lithium tantalate waveguides," Electron. Lett. 27, 2040-2042 (1991).
[CrossRef]

McConnell, G.

J. Harris, G. Norris, and G. McConnell, "Characterization of periodically poled materials using nonlinear microscopy," Opt. Express 16, 5667-5672 (2008).
[CrossRef] [PubMed]

Merz, W. J.

J. A. Hooton andW. J. Merz, "Etch patterns and ferroelectric domains in BaTiO3 single crystal," Phys. Rev. 98, 409-413 (1955).
[CrossRef]

Miller, G. D.

V. Y. Shur, E. L. Rumyantsev, R. G. Batchko, G. D. Miller, M. M. Fejer, and R. L. Byer, "Domain kinetics in the formation of a periodic domain structure in lithium niobate," Phys. Solid State 41, 1681-1687 (1999).
[CrossRef]

Ming, N. B.

P. Xu, S. H. Ji, S. N. Zhu, X. Q. Yu, J. Sun, H. T. Wang, J. L. He, Y. Y. Zhu, and N. B. Ming, "Conical second harmonic generation in a two-dimensional c(2) photonic crystal: a hexagonally poled LiTaO3 crystal," Phys. Rev. Lett. 93, 133904 (2004).
[CrossRef] [PubMed]

S. Zhu, Y. Y. Zhu, and N. B. Ming, "Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice," Science 278, 843-846 (1997).
[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]

Ni, P. G.

P. G. Ni, B. Q. Ma, X. H. Wang, B. Cheng, and D. Zhang, "Second-harmonic generation in two-dimensional periodically poled lithium niobate using second-order quasiphase matching," Appl. Phys. Lett. 82, 4230-4232 (2003).
[CrossRef]

Norris, G.

J. Harris, G. Norris, and G. McConnell, "Characterization of periodically poled materials using nonlinear microscopy," Opt. Express 16, 5667-5672 (2008).
[CrossRef] [PubMed]

Offerhaus, H. L.

N. G. R. Broderick, G.W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, "Hexagonally poled lithium niobate: a two-dimensional nonlinear photonic crystal," Phys. Rev. Lett. 84, 4345-4348 (2000).
[CrossRef] [PubMed]

Oron, M.

G. Rosenman, K. Garb, A. Skliar, M. Oron, D. Eger, and M. Katz, "Domain broadening in quasi-phase-matched nonlinear optical devices," Appl. Phys. Lett. 73, 865-867 (1998).
[CrossRef]

Paschotta, R.

Q3. M. Fl¨orsheimer, R. Paschotta, U. Kubitscheck, C. Brillert, D. Hofmann, L. Heuer, G. Schreiber, C. Verbeek, W. Sohler and H. Fuchs, "Second-harmonic imaging of ferroelectric domains in LiNbO3 with micron resolution in lateral and axial directions,"Appl. Phys. B-Lasers Opt. 67, 593-599 (1998).
[CrossRef]

Pasiskevicius, V.

A. Fragemann, V. Pasiskevicius, and F. Laurell, "Second-order nonlinearites in the 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, "Secondharmonic imaging of ferroelectric domain walls," Appl. Phys. Lett. 73, 1814-1816 (1998).
[CrossRef]

Qu, E.

Y. Sheng, T. Wang, B. Q. Ma, E. Qu, B. Cheng, and D. Zhang, "Anisotropy of domain broadening in periodically poled lithium niobate crystal," Appl. Phys. Lett. 88, 041121 (2006).
[CrossRef]

Richardson, D. J.

N. G. R. Broderick, G.W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, "Hexagonally poled lithium niobate: a two-dimensional nonlinear photonic crystal," Phys. Rev. Lett. 84, 4345-4348 (2000).
[CrossRef] [PubMed]

Rosenfeldt, A.

Q4. A. Rosenfeldt and M. Florsheimer, "Nondestructive remote imaging of ferroelectric domain distributions with high three-dimensional resolution," Appl. Phys. B-Lasers Opt. 73, 523-529 (2001).

Rosenman, G.

G. Rosenman, K. Garb, A. Skliar, M. Oron, D. Eger, and M. Katz, "Domain broadening in quasi-phase-matched nonlinear optical devices," Appl. Phys. Lett. 73, 865-867 (1998).
[CrossRef]

Ross, G.W.

N. G. R. Broderick, G.W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, "Hexagonally poled lithium niobate: a two-dimensional nonlinear photonic crystal," Phys. Rev. Lett. 84, 4345-4348 (2000).
[CrossRef] [PubMed]

Rumyantsev, E. L.

V. Y. Shur, E. L. Rumyantsev, R. G. Batchko, G. D. Miller, M. M. Fejer, and R. L. Byer, "Domain kinetics in the formation of a periodic domain structure in lithium niobate," Phys. Solid State 41, 1681-1687 (1999).
[CrossRef]

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]

Y. Sheng, S. M. Saltiel, and K. Koynov, "Cascaded third-harmonic generation in a single short-range-ordered nonlinear photonic crystal," Opt. Lett. 34, 656-658 (2009).
[CrossRef] [PubMed]

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

Scalora, M.

W. Wang, K. Kalinowski, Y. Kong, C. Cojocaru, J. Trull, R. Vilaseca, M. Scalora, W. Krolikowski, and Y. S. Kivshar, "Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media," Opt. Express. 17, 20117 (2009).
[CrossRef] [PubMed]

Schreiber, G.

Q3. M. Fl¨orsheimer, R. Paschotta, U. Kubitscheck, C. Brillert, D. Hofmann, L. Heuer, G. Schreiber, C. Verbeek, W. Sohler and H. Fuchs, "Second-harmonic imaging of ferroelectric domains in LiNbO3 with micron resolution in lateral and axial directions,"Appl. Phys. B-Lasers Opt. 67, 593-599 (1998).
[CrossRef]

Sheng, Y.

Y. Sheng, S. M. Saltiel, and K. Koynov, "Cascaded third-harmonic generation in a single short-range-ordered nonlinear photonic crystal," Opt. Lett. 34, 656-658 (2009).
[CrossRef] [PubMed]

Y. Sheng, K. Koynov, and D. Zhang, "Collinear second harmonic generation of 20 wavelengths in a single twodimensional decagonal nonlinear photonic quasi-crystal," Opt. Commun. 282, 3602-3606 (2009).
[CrossRef]

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

Q5. Y. Sheng, J. Dou, B. Cheng and D. Zhang, "Effective generation of red-green-blue laser in a two-dimensional decagonal photonic superlattice," Appl. Phys. B-Lasers Opt. 87, 603-606 (2007).
[CrossRef]

Y. Sheng, J. Dou, B. Ma, B. Cheng, and D. Zhang, "Broadband efficient second harmonic generation in media with a short-range order," Appl. Phys. Lett. 91, 011101 (2007).
[CrossRef]

Y. Sheng, J. Dou, B. Ma, J. Li, D. Ma, B. Cheng, and D. Zhang, "Temperature and angle tuning of second harmonic generation in media with a short-range order, " Appl. Phys. Lett. 91, 101109 (2007).
[CrossRef]

Y. Sheng, T. Wang, B. Q. Ma, E. Qu, B. Cheng, and D. Zhang, "Anisotropy of domain broadening in periodically poled lithium niobate crystal," Appl. Phys. Lett. 88, 041121 (2006).
[CrossRef]

Shur, V. Y.

V. Y. Shur, E. L. Rumyantsev, R. G. Batchko, G. D. Miller, M. M. Fejer, and R. L. Byer, "Domain kinetics in the formation of a periodic domain structure in lithium niobate," Phys. Solid State 41, 1681-1687 (1999).
[CrossRef]

Skettrup, T.

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

Skliar, A.

G. Rosenman, K. Garb, A. Skliar, M. Oron, D. Eger, and M. Katz, "Domain broadening in quasi-phase-matched nonlinear optical devices," Appl. Phys. Lett. 73, 865-867 (1998).
[CrossRef]

Soergel, E.

T. Jungk, A. Hoffmann, and E. Soergel, "Contrast mechanisms for the detection of ferroelectric domains with scanning force microscopy," New J. Phys. 11, 033092 (2009).
[CrossRef]

Q2. E. Soergel, "Visualization of ferroelectric domains in bulk single crystals," Appl. Phys. 81, 729-752 (2005).
[CrossRef]

Sohler, W.

Q3. M. Fl¨orsheimer, R. Paschotta, U. Kubitscheck, C. Brillert, D. Hofmann, L. Heuer, G. Schreiber, C. Verbeek, W. Sohler and H. Fuchs, "Second-harmonic imaging of ferroelectric domains in LiNbO3 with micron resolution in lateral and axial directions,"Appl. Phys. B-Lasers Opt. 67, 593-599 (1998).
[CrossRef]

Sun, J.

P. Xu, S. H. Ji, S. N. Zhu, X. Q. Yu, J. Sun, H. T. Wang, J. L. He, Y. Y. Zhu, and N. B. Ming, "Conical second harmonic generation in a two-dimensional c(2) photonic crystal: a hexagonally poled LiTaO3 crystal," Phys. Rev. Lett. 93, 133904 (2004).
[CrossRef] [PubMed]

Trull, J.

W. Wang, K. Kalinowski, Y. Kong, C. Cojocaru, J. Trull, R. Vilaseca, M. Scalora, W. Krolikowski, and Y. S. Kivshar, "Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media," Opt. Express. 17, 20117 (2009).
[CrossRef] [PubMed]

Tunyagi, A. R.

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

Uesu, Y.

Y. Uesu, H. Yokota, S. Kawado, S. Kawado, J. Kaneshiro, S. Kurimura, and N. Kato, "Three-dimensional observation of periodically poled domains in a LiTaO3 quasiphase matching crystal by second-harmonic generation microscope," Appl. Phys. Lett. 91, 182904 (2007).
[CrossRef]

Ulex, M.

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

Verbeek, C.

Q3. M. Fl¨orsheimer, R. Paschotta, U. Kubitscheck, C. Brillert, D. Hofmann, L. Heuer, G. Schreiber, C. Verbeek, W. Sohler and H. Fuchs, "Second-harmonic imaging of ferroelectric domains in LiNbO3 with micron resolution in lateral and axial directions,"Appl. Phys. B-Lasers Opt. 67, 593-599 (1998).
[CrossRef]

Vilaseca, R.

W. Wang, K. Kalinowski, Y. Kong, C. Cojocaru, J. Trull, R. Vilaseca, M. Scalora, W. Krolikowski, and Y. S. Kivshar, "Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media," Opt. Express. 17, 20117 (2009).
[CrossRef] [PubMed]

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]

Q1. T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, and A. Arie, "Nonlinear generation and manipulation of Airy beams," Nat. Photonics 3, 395-398 (2009).
[CrossRef]

Wang, F. M.

Y. Zhang, F. M. Wang, K. Geren, S. N. Zhu, and M. Xiao, "Second-harmonic imaging from a modulated domain structure," Opt. Lett. 35, 178-180 (2010).
[CrossRef] [PubMed]

Wang, H. T.

P. Xu, S. H. Ji, S. N. Zhu, X. Q. Yu, J. Sun, H. T. Wang, J. L. He, Y. Y. Zhu, and N. B. Ming, "Conical second harmonic generation in a two-dimensional c(2) photonic crystal: a hexagonally poled LiTaO3 crystal," Phys. Rev. Lett. 93, 133904 (2004).
[CrossRef] [PubMed]

Wang, T.

Y. Sheng, T. Wang, B. Q. Ma, E. Qu, B. Cheng, and D. Zhang, "Anisotropy of domain broadening in periodically poled lithium niobate crystal," Appl. Phys. Lett. 88, 041121 (2006).
[CrossRef]

Wang, W.

W. Wang, K. Kalinowski, Y. Kong, C. Cojocaru, J. Trull, R. Vilaseca, M. Scalora, W. Krolikowski, and Y. S. Kivshar, "Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media," Opt. Express. 17, 20117 (2009).
[CrossRef] [PubMed]

Wang, X. H.

P. G. Ni, B. Q. Ma, X. H. Wang, B. Cheng, and D. Zhang, "Second-harmonic generation in two-dimensional periodically poled lithium niobate using second-order quasiphase matching," Appl. Phys. Lett. 82, 4230-4232 (2003).
[CrossRef]

Xiao, M.

Y. Zhang, F. M. Wang, K. Geren, S. N. Zhu, and M. Xiao, "Second-harmonic imaging from a modulated domain structure," Opt. Lett. 35, 178-180 (2010).
[CrossRef] [PubMed]

Xu, P.

P. Xu, S. H. Ji, S. N. Zhu, X. Q. Yu, J. Sun, H. T. Wang, J. L. He, Y. Y. Zhu, and N. B. Ming, "Conical second harmonic generation in a two-dimensional c(2) photonic crystal: a hexagonally poled LiTaO3 crystal," Phys. Rev. Lett. 93, 133904 (2004).
[CrossRef] [PubMed]

Yanagawa, K.

K. Hayata, K. Yanagawa, and M. Koshiba, "Enhancement of the guided-wave second-harmonic generation in the form of Cerenkov radiation," Appl. Phys. Lett. 56, 206-208 (1990).
[CrossRef]

Yokota, H.

Y. Uesu, H. Yokota, S. Kawado, S. Kawado, J. Kaneshiro, S. Kurimura, and N. Kato, "Three-dimensional observation of periodically poled domains in a LiTaO3 quasiphase matching crystal by second-harmonic generation microscope," Appl. Phys. Lett. 91, 182904 (2007).
[CrossRef]

Yu, X. Q.

P. Xu, S. H. Ji, S. N. Zhu, X. Q. Yu, J. Sun, H. T. Wang, J. L. He, Y. Y. Zhu, and N. B. Ming, "Conical second harmonic generation in a two-dimensional c(2) photonic crystal: a hexagonally poled LiTaO3 crystal," Phys. Rev. Lett. 93, 133904 (2004).
[CrossRef] [PubMed]

Zhang, D.

Y. Sheng, K. Koynov, and D. Zhang, "Collinear second harmonic generation of 20 wavelengths in a single twodimensional decagonal nonlinear photonic quasi-crystal," Opt. Commun. 282, 3602-3606 (2009).
[CrossRef]

Q5. Y. Sheng, J. Dou, B. Cheng and D. Zhang, "Effective generation of red-green-blue laser in a two-dimensional decagonal photonic superlattice," Appl. Phys. B-Lasers Opt. 87, 603-606 (2007).
[CrossRef]

Y. Sheng, J. Dou, B. Ma, B. Cheng, and D. Zhang, "Broadband efficient second harmonic generation in media with a short-range order," Appl. Phys. Lett. 91, 011101 (2007).
[CrossRef]

Y. Sheng, J. Dou, B. Ma, J. Li, D. Ma, B. Cheng, and D. Zhang, "Temperature and angle tuning of second harmonic generation in media with a short-range order, " Appl. Phys. Lett. 91, 101109 (2007).
[CrossRef]

Y. Sheng, T. Wang, B. Q. Ma, E. Qu, B. Cheng, and D. Zhang, "Anisotropy of domain broadening in periodically poled lithium niobate crystal," Appl. Phys. Lett. 88, 041121 (2006).
[CrossRef]

P. G. Ni, B. Q. Ma, X. H. Wang, B. Cheng, and D. Zhang, "Second-harmonic generation in two-dimensional periodically poled lithium niobate using second-order quasiphase matching," Appl. Phys. Lett. 82, 4230-4232 (2003).
[CrossRef]

Zhang, Y.

Y. Zhang, F. M. Wang, K. Geren, S. N. Zhu, and M. Xiao, "Second-harmonic imaging from a modulated domain structure," Opt. Lett. 35, 178-180 (2010).
[CrossRef] [PubMed]

Zhu, S.

S. Zhu, Y. Y. Zhu, and N. B. Ming, "Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice," Science 278, 843-846 (1997).
[CrossRef]

Zhu, S. N.

Y. Zhang, F. M. Wang, K. Geren, S. N. Zhu, and M. Xiao, "Second-harmonic imaging from a modulated domain structure," Opt. Lett. 35, 178-180 (2010).
[CrossRef] [PubMed]

P. Xu, S. H. Ji, S. N. Zhu, X. Q. Yu, J. Sun, H. T. Wang, J. L. He, Y. Y. Zhu, and N. B. Ming, "Conical second harmonic generation in a two-dimensional c(2) photonic crystal: a hexagonally poled LiTaO3 crystal," Phys. Rev. Lett. 93, 133904 (2004).
[CrossRef] [PubMed]

S. N. Zhu and W. W. Cao, "Direct observation of ferroelectric domains in LiTaO3 using environmental scanning electron microscopy," Phys. Rev. Lett. 79, 2558-2561 (1997).
[CrossRef]

Zhu, Y. Y.

P. Xu, S. H. Ji, S. N. Zhu, X. Q. Yu, J. Sun, H. T. Wang, J. L. He, Y. Y. Zhu, and N. B. Ming, "Conical second harmonic generation in a two-dimensional c(2) photonic crystal: a hexagonally poled LiTaO3 crystal," Phys. Rev. Lett. 93, 133904 (2004).
[CrossRef] [PubMed]

S. Zhu, Y. Y. Zhu, and N. B. Ming, "Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice," Science 278, 843-846 (1997).
[CrossRef]

Appl. Opt. (1)

I. Juwiler and A. Arie, "Efficient frequency doubling by a phase-compensated crystal in a semimonolithic cavity," Appl. Opt. 42, 7163-7169 (2003).
[CrossRef]

Appl. Phys. (1)

Q2. E. Soergel, "Visualization of ferroelectric domains in bulk single crystals," Appl. Phys. 81, 729-752 (2005).
[CrossRef]

Appl. Phys. B-Lasers Opt. (3)

Q3. M. Fl¨orsheimer, R. Paschotta, U. Kubitscheck, C. Brillert, D. Hofmann, L. Heuer, G. Schreiber, C. Verbeek, W. Sohler and H. Fuchs, "Second-harmonic imaging of ferroelectric domains in LiNbO3 with micron resolution in lateral and axial directions,"Appl. Phys. B-Lasers Opt. 67, 593-599 (1998).
[CrossRef]

Q4. A. Rosenfeldt and M. Florsheimer, "Nondestructive remote imaging of ferroelectric domain distributions with high three-dimensional resolution," Appl. Phys. B-Lasers Opt. 73, 523-529 (2001).

Q5. Y. Sheng, J. Dou, B. Cheng and D. Zhang, "Effective generation of red-green-blue laser in a two-dimensional decagonal photonic superlattice," Appl. Phys. B-Lasers Opt. 87, 603-606 (2007).
[CrossRef]

Appl. Phys. Lett. (10)

G. Rosenman, K. Garb, A. Skliar, M. Oron, D. Eger, and M. Katz, "Domain broadening in quasi-phase-matched nonlinear optical devices," Appl. Phys. Lett. 73, 865-867 (1998).
[CrossRef]

Y. Sheng, T. Wang, B. Q. Ma, E. Qu, B. Cheng, and D. Zhang, "Anisotropy of domain broadening in periodically poled lithium niobate crystal," Appl. Phys. Lett. 88, 041121 (2006).
[CrossRef]

P. G. Ni, B. Q. Ma, X. H. Wang, B. Cheng, and D. Zhang, "Second-harmonic generation in two-dimensional periodically poled lithium niobate using second-order quasiphase matching," Appl. Phys. Lett. 82, 4230-4232 (2003).
[CrossRef]

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

Y. Uesu, H. Yokota, S. Kawado, S. Kawado, J. Kaneshiro, S. Kurimura, and N. Kato, "Three-dimensional observation of periodically poled domains in a LiTaO3 quasiphase matching crystal by second-harmonic generation microscope," Appl. Phys. Lett. 91, 182904 (2007).
[CrossRef]

K. Hayata, K. Yanagawa, and M. Koshiba, "Enhancement of the guided-wave second-harmonic generation in the form of Cerenkov radiation," Appl. Phys. Lett. 56, 206-208 (1990).
[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]

Y. Sheng, J. Dou, B. Ma, B. Cheng, and D. Zhang, "Broadband efficient second harmonic generation in media with a short-range order," Appl. Phys. Lett. 91, 011101 (2007).
[CrossRef]

Y. Sheng, J. Dou, B. Ma, J. Li, D. Ma, B. Cheng, and D. Zhang, "Temperature and angle tuning of second harmonic generation in media with a short-range order, " Appl. Phys. Lett. 91, 101109 (2007).
[CrossRef]

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

Electron. Lett. (1)

S. Matsumoto, E. J. Lim, H. M. Hertz, and M. M. Fejer, "Quasiphase-matched second harmonic generation of blue light in electrically periodically-poled lithium tantalate waveguides," Electron. Lett. 27, 2040-2042 (1991).
[CrossRef]

IEEE J. Quantum Electron. (2)

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

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]

Nat. Photonics (1)

Q1. T. Ellenbogen, N. Voloch-Bloch, A. Ganany-Padowicz, and A. Arie, "Nonlinear generation and manipulation of Airy beams," Nat. Photonics 3, 395-398 (2009).
[CrossRef]

New J. Phys. (1)

T. Jungk, A. Hoffmann, and E. Soergel, "Contrast mechanisms for the detection of ferroelectric domains with scanning force microscopy," New J. Phys. 11, 033092 (2009).
[CrossRef]

Opt. Commun. (1)

Y. Sheng, K. Koynov, and D. Zhang, "Collinear second harmonic generation of 20 wavelengths in a single twodimensional decagonal nonlinear photonic quasi-crystal," Opt. Commun. 282, 3602-3606 (2009).
[CrossRef]

Opt. Express (1)

J. Harris, G. Norris, and G. McConnell, "Characterization of periodically poled materials using nonlinear microscopy," Opt. Express 16, 5667-5672 (2008).
[CrossRef] [PubMed]

Opt. Express. (1)

W. Wang, K. Kalinowski, Y. Kong, C. Cojocaru, J. Trull, R. Vilaseca, M. Scalora, W. Krolikowski, and Y. S. Kivshar, "Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media," Opt. Express. 17, 20117 (2009).
[CrossRef] [PubMed]

Opt. Lett. (4)

A. Bahabad, A. Ganany-Padowicz, and A. Arie, "Engineering two-dimensional nonlinear photonic quasi-crystal," Opt. Lett. 33, 1386-1388 (2008).
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Y. Sheng, S. M. Saltiel, and K. Koynov, "Cascaded third-harmonic generation in a single short-range-ordered nonlinear photonic crystal," Opt. Lett. 34, 656-658 (2009).
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V. Grubsky, S. MacCormack, and J. Feinberg, "All-optical three-dimensional mapping of 180± domains hidden in a BaTiO3 crystal," Opt. Lett. 21, 6-8 (1996).
[CrossRef] [PubMed]

Y. Zhang, F. M. Wang, K. Geren, S. N. Zhu, and M. Xiao, "Second-harmonic imaging from a modulated domain structure," Opt. Lett. 35, 178-180 (2010).
[CrossRef] [PubMed]

Opt. Quantum Electron. (1)

G. J. Edwards and M. Lawrence, "A temperature-dependent dispersion equation for congruently grown lithium niobate," Opt. Quantum Electron. 16, 373-375 (1984).
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Phys. Rev. (1)

J. A. Hooton andW. J. Merz, "Etch patterns and ferroelectric domains in BaTiO3 single crystal," Phys. Rev. 98, 409-413 (1955).
[CrossRef]

Phys. Rev. Lett. (5)

S. N. Zhu and W. W. Cao, "Direct observation of ferroelectric domains in LiTaO3 using environmental scanning electron microscopy," Phys. Rev. Lett. 79, 2558-2561 (1997).
[CrossRef]

P. Xu, S. H. Ji, S. N. Zhu, X. Q. Yu, J. Sun, H. T. Wang, J. L. He, Y. Y. Zhu, and N. B. Ming, "Conical second harmonic generation in a two-dimensional c(2) photonic crystal: a hexagonally poled LiTaO3 crystal," Phys. Rev. Lett. 93, 133904 (2004).
[CrossRef] [PubMed]

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

V. Berger, "Nonlinear Photonic Crystals," Phys. Rev. Lett. 81, 4136-4139 (1998).
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N. G. R. Broderick, G.W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, "Hexagonally poled lithium niobate: a two-dimensional nonlinear photonic crystal," Phys. Rev. Lett. 84, 4345-4348 (2000).
[CrossRef] [PubMed]

Phys. Solid State (1)

V. Y. Shur, E. L. Rumyantsev, R. G. Batchko, G. D. Miller, M. M. Fejer, and R. L. Byer, "Domain kinetics in the formation of a periodic domain structure in lithium niobate," Phys. Solid State 41, 1681-1687 (1999).
[CrossRef]

Science (1)

S. Zhu, Y. Y. Zhu, and N. B. Ming, "Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice," Science 278, 843-846 (1997).
[CrossRef]

Other (1)

X. Deng, H. Ren, Y. Zheng, K. Liu, and X. Chen, "Significantly enhanced second order nonlinearity in domain walls of ferroelectrics," Phys. Opt. arXiv:1005.2925v1 (2010).

Supplementary Material (6)

» Media 1: AVI (279 KB)     
» Media 2: AVI (1965 KB)     
» Media 3: AVI (523 KB)     
» Media 4: AVI (2857 KB)     
» Media 5: AVI (712 KB)     
» Media 6: AVI (2733 KB)     

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Figures (4)

Fig. 1.
Fig. 1.

(a) Schematic of the experimental setup; (b–c) Images of the inverted domain pattern of a 2D quasi-periodic NPS obtained via (b) Čerenkov SHG inside the NPS and (c) optical microscopy after selective etching of the NPS surface.

Fig. 2.
Fig. 2.

SHG patterns (blue spots) imaged with a CCD camera when the fundamental beam was focused on the corresponding domain boundary of the LiNbO3 NPS. Second harmonic spots are located symmetrically with respect to the domain wall and direction of the fundamental beam (not shown) which is perpendicular to the plane of this figure.

Fig. 3.
Fig. 3.

Domain structures imaged by Čerenkov SHG, taken with the focal plane of the fundamental beam located 10 µm inside the corresponding NPS: (a) Congruent LiNbO3 with 2D short-range ordered domain structure [31, 32, 33]. (b) Stoichiometric LiTaO3 with 2D quasi-periodic domain structure [34]. (c) KTiOPO4 with 1D periodic domain structure [35]. (d) and (e) As-grown Sr χ Ba1−χ Nb2O6 crystal with naturally random domain structure at X-Y and X-Z planes [36, 37], respectively.

Fig. 4.
Fig. 4.

Three dimensional visualization of inverted ferroelectric domains inside congruent LiNbO3 crystal by Čerenkov-type second harmonic generation laser scanning microscopy. (a) Domain distribution in the nonlinear photonic structure. (b) Transformation from the initially circular to hexagonally shaped domains [(Media 1) 1(a) and (Media 2)1(b)]; (c) Formation of a defect during the domain growth [(Media 3)3(a) and (Media 4)2(b)]; (d) Merging of two initially separated ferroelectric domains[(Media 5) 3(a) and (Media 6)3(b)].

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