T. Z. Shen, S. H. Hong, and J. K. Song, “Electro-optical switching of graphene oxide liquid crystals with an extremely large kerr coefficient,” Nat. Mater. 13, 394–399 (2014).

D. Wang, Y. Zhang, and M. Xiao, “Quantum limits for cascaded optical parametric amplifiers,” Phys. Rev. A 87, 023834 (2013).

[Crossref]

X. P. Hu, P. Xu, and S. N. Zhu, “Engineered quasi-phase-matching for laser techniques invited,” Photon. Res. 1, 171–185 (2013).

R. L. Jin, Y. H. Yu, H. Yang, F. Zhu, Q. D. Chen, M. B. Yi, and H. B. Sun, “Electro-optical detection based on large kerr effect in polymer-stabilized liquid crystals,” Opt. Lett. 37, 842–844 (2012).

[Crossref]

J. Huo and X. F. Chen, “Large phase shift via polarization-coupling cascading,” Opt. Express 20, 13419–13424 (2012).

[Crossref]

M. Melnichuk and L. T. Wood, “Direct Kerr electro-optic effect in noncentrosymmetric materials,” Phys. Rev. A 82, 013821 (2010).

[Crossref]

K. Liu, W. J. Lu, Y. P. Chen, and X. F. Chen, “Active control of group velocity by use of folded dielectric axes structures,” Appl. Phys. Lett. 97, 071104 (2010).

[Crossref]

O. Gayer, Z. Sacks, E. Galun, and A. Arie, “Temperature and wavelength dependent refractive index equations for mgo-doped congruent and stoichiometric linbo3,” Appl. Phys. B 91, 343–348 (2008).

[Crossref]

J. F. Zhang, Y. P. Chen, F. Lu, and X. F. Chen, “Flexible wavelength conversion via cascaded second order nonlinearity using broadband shg in mgo-doped ppln,” Opt. Express 16, 6957–6962 (2008).

[Crossref]

Y. Shen, T. Watanabe, D. A. Arena, C. C. Kao, J. B. Murphy, T. Y. Tsang, X. J. Wang, and G. L. Carr, “Nonlinear cross-phase modulation with intense single-cycle terahertz pulses,” Phys. Rev. Lett. 99, 043901 (2007).

[Crossref]

Y. P. Chen, R. Wu, X. L. Zeng, Y. X. Xia, and X. F. Chen, “Type i quasi-phase-matched blue second harmonic generation with different polarizations in periodically poled linbo3,” Opt. Laser Technol. 38, 19–22 (2006).

Y. Hisakado, H. Kikuchi, T. Nagamura, and T. Kajiyama, “Large electro-optic kerr effect in polymer-stabilized liquid-crystalline blue phases,” Adv. Mater. 17, 96–98 (2005).

C. Kolleck, “Cascaded second-order contribution to the third-order nonlinear susceptibility,” Phys. Rev. A 69, 053812 (2004).

[Crossref]

M. Luennemann, U. Hartwig, G. Panotopoulos, and K. Buse, “Electrooptic properties of lithium niobate crystals for extremely high external electric fields,” Appl. Phys. B 76, 403–406 (2003).

[Crossref]

X. F. Chen, J. H. Shi, Y. P. Chen, Y. M. Zhu, Y. X. Xia, and Y. L. Chen, “Electro-optic solc-type wavelength filter in periodically poled lithium niobate,” Opt. Lett. 28, 2115–2117 (2003).

[Crossref]

Y. Q. Lu, Z. L. Wan, Q. Wang, Y. X. Xi, and N. B. Ming, “Electro-optic effect of periodically poled optical superlattice linbo3 and its applications,” Appl. Phys. Lett. 77, 3719–3721 (2000).

[Crossref]

G. I. Stegeman, D. J. Hagan, and L. Torner, “χ (2) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons,” Opt. Quantum Electron. 28, 1691–1740 (1996).

C. Bosshard, R. Spreiter, M. Zgonik, and P. Günter, “Kerr nonlinearity via cascaded optical rectification and the linear electro-optic effect,” Phys. Rev. Lett. 74, 2816–2819 (1995).

[Crossref]

E. C. Stevenson and J. W. Beams, “The electro-optical kerr effect in gases,” Phys. Rev. 38, 133–140 (1931).

[Crossref]

Y. Shen, T. Watanabe, D. A. Arena, C. C. Kao, J. B. Murphy, T. Y. Tsang, X. J. Wang, and G. L. Carr, “Nonlinear cross-phase modulation with intense single-cycle terahertz pulses,” Phys. Rev. Lett. 99, 043901 (2007).

[Crossref]

O. Gayer, Z. Sacks, E. Galun, and A. Arie, “Temperature and wavelength dependent refractive index equations for mgo-doped congruent and stoichiometric linbo3,” Appl. Phys. B 91, 343–348 (2008).

[Crossref]

E. C. Stevenson and J. W. Beams, “The electro-optical kerr effect in gases,” Phys. Rev. 38, 133–140 (1931).

[Crossref]

C. Bosshard, R. Spreiter, M. Zgonik, and P. Günter, “Kerr nonlinearity via cascaded optical rectification and the linear electro-optic effect,” Phys. Rev. Lett. 74, 2816–2819 (1995).

[Crossref]

R. W. Boyd, Nonlinear Optics (Academic, 2003).

M. Luennemann, U. Hartwig, G. Panotopoulos, and K. Buse, “Electrooptic properties of lithium niobate crystals for extremely high external electric fields,” Appl. Phys. B 76, 403–406 (2003).

[Crossref]

Y. Shen, T. Watanabe, D. A. Arena, C. C. Kao, J. B. Murphy, T. Y. Tsang, X. J. Wang, and G. L. Carr, “Nonlinear cross-phase modulation with intense single-cycle terahertz pulses,” Phys. Rev. Lett. 99, 043901 (2007).

[Crossref]

J. Huo and X. F. Chen, “Large phase shift via polarization-coupling cascading,” Opt. Express 20, 13419–13424 (2012).

[Crossref]

K. Liu, W. J. Lu, Y. P. Chen, and X. F. Chen, “Active control of group velocity by use of folded dielectric axes structures,” Appl. Phys. Lett. 97, 071104 (2010).

[Crossref]

J. F. Zhang, Y. P. Chen, F. Lu, and X. F. Chen, “Flexible wavelength conversion via cascaded second order nonlinearity using broadband shg in mgo-doped ppln,” Opt. Express 16, 6957–6962 (2008).

[Crossref]

Y. P. Chen, R. Wu, X. L. Zeng, Y. X. Xia, and X. F. Chen, “Type i quasi-phase-matched blue second harmonic generation with different polarizations in periodically poled linbo3,” Opt. Laser Technol. 38, 19–22 (2006).

X. F. Chen, J. H. Shi, Y. P. Chen, Y. M. Zhu, Y. X. Xia, and Y. L. Chen, “Electro-optic solc-type wavelength filter in periodically poled lithium niobate,” Opt. Lett. 28, 2115–2117 (2003).

[Crossref]

K. Liu, W. J. Lu, Y. P. Chen, and X. F. Chen, “Active control of group velocity by use of folded dielectric axes structures,” Appl. Phys. Lett. 97, 071104 (2010).

[Crossref]

J. F. Zhang, Y. P. Chen, F. Lu, and X. F. Chen, “Flexible wavelength conversion via cascaded second order nonlinearity using broadband shg in mgo-doped ppln,” Opt. Express 16, 6957–6962 (2008).

[Crossref]

Y. P. Chen, R. Wu, X. L. Zeng, Y. X. Xia, and X. F. Chen, “Type i quasi-phase-matched blue second harmonic generation with different polarizations in periodically poled linbo3,” Opt. Laser Technol. 38, 19–22 (2006).

X. F. Chen, J. H. Shi, Y. P. Chen, Y. M. Zhu, Y. X. Xia, and Y. L. Chen, “Electro-optic solc-type wavelength filter in periodically poled lithium niobate,” Opt. Lett. 28, 2115–2117 (2003).

[Crossref]

O. Gayer, Z. Sacks, E. Galun, and A. Arie, “Temperature and wavelength dependent refractive index equations for mgo-doped congruent and stoichiometric linbo3,” Appl. Phys. B 91, 343–348 (2008).

[Crossref]

O. Gayer, Z. Sacks, E. Galun, and A. Arie, “Temperature and wavelength dependent refractive index equations for mgo-doped congruent and stoichiometric linbo3,” Appl. Phys. B 91, 343–348 (2008).

[Crossref]

C. Bosshard, R. Spreiter, M. Zgonik, and P. Günter, “Kerr nonlinearity via cascaded optical rectification and the linear electro-optic effect,” Phys. Rev. Lett. 74, 2816–2819 (1995).

[Crossref]

G. I. Stegeman, D. J. Hagan, and L. Torner, “χ (2) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons,” Opt. Quantum Electron. 28, 1691–1740 (1996).

R. DeSalvo, H. Vanherzeele, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, and E. W. Van Stryland, “Self-focusing and self-defocusing by cascaded second-order effects in ktp,” Opt. Lett. 17, 28–30 (1992).

[Crossref]

M. Luennemann, U. Hartwig, G. Panotopoulos, and K. Buse, “Electrooptic properties of lithium niobate crystals for extremely high external electric fields,” Appl. Phys. B 76, 403–406 (2003).

[Crossref]

Y. Hisakado, H. Kikuchi, T. Nagamura, and T. Kajiyama, “Large electro-optic kerr effect in polymer-stabilized liquid-crystalline blue phases,” Adv. Mater. 17, 96–98 (2005).

T. Z. Shen, S. H. Hong, and J. K. Song, “Electro-optical switching of graphene oxide liquid crystals with an extremely large kerr coefficient,” Nat. Mater. 13, 394–399 (2014).

Y. Hisakado, H. Kikuchi, T. Nagamura, and T. Kajiyama, “Large electro-optic kerr effect in polymer-stabilized liquid-crystalline blue phases,” Adv. Mater. 17, 96–98 (2005).

Y. Shen, T. Watanabe, D. A. Arena, C. C. Kao, J. B. Murphy, T. Y. Tsang, X. J. Wang, and G. L. Carr, “Nonlinear cross-phase modulation with intense single-cycle terahertz pulses,” Phys. Rev. Lett. 99, 043901 (2007).

[Crossref]

Y. Hisakado, H. Kikuchi, T. Nagamura, and T. Kajiyama, “Large electro-optic kerr effect in polymer-stabilized liquid-crystalline blue phases,” Adv. Mater. 17, 96–98 (2005).

C. Kolleck, “Cascaded second-order contribution to the third-order nonlinear susceptibility,” Phys. Rev. A 69, 053812 (2004).

[Crossref]

K. Liu, W. J. Lu, Y. P. Chen, and X. F. Chen, “Active control of group velocity by use of folded dielectric axes structures,” Appl. Phys. Lett. 97, 071104 (2010).

[Crossref]

K. Liu, W. J. Lu, Y. P. Chen, and X. F. Chen, “Active control of group velocity by use of folded dielectric axes structures,” Appl. Phys. Lett. 97, 071104 (2010).

[Crossref]

Y. Q. Lu, Z. L. Wan, Q. Wang, Y. X. Xi, and N. B. Ming, “Electro-optic effect of periodically poled optical superlattice linbo3 and its applications,” Appl. Phys. Lett. 77, 3719–3721 (2000).

[Crossref]

M. Luennemann, U. Hartwig, G. Panotopoulos, and K. Buse, “Electrooptic properties of lithium niobate crystals for extremely high external electric fields,” Appl. Phys. B 76, 403–406 (2003).

[Crossref]

M. Melnichuk and L. T. Wood, “Direct Kerr electro-optic effect in noncentrosymmetric materials,” Phys. Rev. A 82, 013821 (2010).

[Crossref]

Y. Q. Lu, Z. L. Wan, Q. Wang, Y. X. Xi, and N. B. Ming, “Electro-optic effect of periodically poled optical superlattice linbo3 and its applications,” Appl. Phys. Lett. 77, 3719–3721 (2000).

[Crossref]

Y. Shen, T. Watanabe, D. A. Arena, C. C. Kao, J. B. Murphy, T. Y. Tsang, X. J. Wang, and G. L. Carr, “Nonlinear cross-phase modulation with intense single-cycle terahertz pulses,” Phys. Rev. Lett. 99, 043901 (2007).

[Crossref]

Y. Hisakado, H. Kikuchi, T. Nagamura, and T. Kajiyama, “Large electro-optic kerr effect in polymer-stabilized liquid-crystalline blue phases,” Adv. Mater. 17, 96–98 (2005).

M. Luennemann, U. Hartwig, G. Panotopoulos, and K. Buse, “Electrooptic properties of lithium niobate crystals for extremely high external electric fields,” Appl. Phys. B 76, 403–406 (2003).

[Crossref]

O. Gayer, Z. Sacks, E. Galun, and A. Arie, “Temperature and wavelength dependent refractive index equations for mgo-doped congruent and stoichiometric linbo3,” Appl. Phys. B 91, 343–348 (2008).

[Crossref]

T. Z. Shen, S. H. Hong, and J. K. Song, “Electro-optical switching of graphene oxide liquid crystals with an extremely large kerr coefficient,” Nat. Mater. 13, 394–399 (2014).

Y. Shen, T. Watanabe, D. A. Arena, C. C. Kao, J. B. Murphy, T. Y. Tsang, X. J. Wang, and G. L. Carr, “Nonlinear cross-phase modulation with intense single-cycle terahertz pulses,” Phys. Rev. Lett. 99, 043901 (2007).

[Crossref]

T. Z. Shen, S. H. Hong, and J. K. Song, “Electro-optical switching of graphene oxide liquid crystals with an extremely large kerr coefficient,” Nat. Mater. 13, 394–399 (2014).

C. Bosshard, R. Spreiter, M. Zgonik, and P. Günter, “Kerr nonlinearity via cascaded optical rectification and the linear electro-optic effect,” Phys. Rev. Lett. 74, 2816–2819 (1995).

[Crossref]

G. I. Stegeman, D. J. Hagan, and L. Torner, “χ (2) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons,” Opt. Quantum Electron. 28, 1691–1740 (1996).

E. C. Stevenson and J. W. Beams, “The electro-optical kerr effect in gases,” Phys. Rev. 38, 133–140 (1931).

[Crossref]

G. I. Stegeman, D. J. Hagan, and L. Torner, “χ (2) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons,” Opt. Quantum Electron. 28, 1691–1740 (1996).

Y. Shen, T. Watanabe, D. A. Arena, C. C. Kao, J. B. Murphy, T. Y. Tsang, X. J. Wang, and G. L. Carr, “Nonlinear cross-phase modulation with intense single-cycle terahertz pulses,” Phys. Rev. Lett. 99, 043901 (2007).

[Crossref]

Y. Q. Lu, Z. L. Wan, Q. Wang, Y. X. Xi, and N. B. Ming, “Electro-optic effect of periodically poled optical superlattice linbo3 and its applications,” Appl. Phys. Lett. 77, 3719–3721 (2000).

[Crossref]

D. Wang, Y. Zhang, and M. Xiao, “Quantum limits for cascaded optical parametric amplifiers,” Phys. Rev. A 87, 023834 (2013).

[Crossref]

Y. Q. Lu, Z. L. Wan, Q. Wang, Y. X. Xi, and N. B. Ming, “Electro-optic effect of periodically poled optical superlattice linbo3 and its applications,” Appl. Phys. Lett. 77, 3719–3721 (2000).

[Crossref]

Y. Shen, T. Watanabe, D. A. Arena, C. C. Kao, J. B. Murphy, T. Y. Tsang, X. J. Wang, and G. L. Carr, “Nonlinear cross-phase modulation with intense single-cycle terahertz pulses,” Phys. Rev. Lett. 99, 043901 (2007).

[Crossref]

Y. Shen, T. Watanabe, D. A. Arena, C. C. Kao, J. B. Murphy, T. Y. Tsang, X. J. Wang, and G. L. Carr, “Nonlinear cross-phase modulation with intense single-cycle terahertz pulses,” Phys. Rev. Lett. 99, 043901 (2007).

[Crossref]

M. Melnichuk and L. T. Wood, “Direct Kerr electro-optic effect in noncentrosymmetric materials,” Phys. Rev. A 82, 013821 (2010).

[Crossref]

Y. P. Chen, R. Wu, X. L. Zeng, Y. X. Xia, and X. F. Chen, “Type i quasi-phase-matched blue second harmonic generation with different polarizations in periodically poled linbo3,” Opt. Laser Technol. 38, 19–22 (2006).

Y. Q. Lu, Z. L. Wan, Q. Wang, Y. X. Xi, and N. B. Ming, “Electro-optic effect of periodically poled optical superlattice linbo3 and its applications,” Appl. Phys. Lett. 77, 3719–3721 (2000).

[Crossref]

Y. P. Chen, R. Wu, X. L. Zeng, Y. X. Xia, and X. F. Chen, “Type i quasi-phase-matched blue second harmonic generation with different polarizations in periodically poled linbo3,” Opt. Laser Technol. 38, 19–22 (2006).

X. F. Chen, J. H. Shi, Y. P. Chen, Y. M. Zhu, Y. X. Xia, and Y. L. Chen, “Electro-optic solc-type wavelength filter in periodically poled lithium niobate,” Opt. Lett. 28, 2115–2117 (2003).

[Crossref]

D. Wang, Y. Zhang, and M. Xiao, “Quantum limits for cascaded optical parametric amplifiers,” Phys. Rev. A 87, 023834 (2013).

[Crossref]

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, 1984), Vol. 8.

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, 1984), Vol. 8.

Y. P. Chen, R. Wu, X. L. Zeng, Y. X. Xia, and X. F. Chen, “Type i quasi-phase-matched blue second harmonic generation with different polarizations in periodically poled linbo3,” Opt. Laser Technol. 38, 19–22 (2006).

C. Bosshard, R. Spreiter, M. Zgonik, and P. Günter, “Kerr nonlinearity via cascaded optical rectification and the linear electro-optic effect,” Phys. Rev. Lett. 74, 2816–2819 (1995).

[Crossref]

D. Wang, Y. Zhang, and M. Xiao, “Quantum limits for cascaded optical parametric amplifiers,” Phys. Rev. A 87, 023834 (2013).

[Crossref]

Y. Hisakado, H. Kikuchi, T. Nagamura, and T. Kajiyama, “Large electro-optic kerr effect in polymer-stabilized liquid-crystalline blue phases,” Adv. Mater. 17, 96–98 (2005).

M. Luennemann, U. Hartwig, G. Panotopoulos, and K. Buse, “Electrooptic properties of lithium niobate crystals for extremely high external electric fields,” Appl. Phys. B 76, 403–406 (2003).

[Crossref]

O. Gayer, Z. Sacks, E. Galun, and A. Arie, “Temperature and wavelength dependent refractive index equations for mgo-doped congruent and stoichiometric linbo3,” Appl. Phys. B 91, 343–348 (2008).

[Crossref]

Y. Q. Lu, Z. L. Wan, Q. Wang, Y. X. Xi, and N. B. Ming, “Electro-optic effect of periodically poled optical superlattice linbo3 and its applications,” Appl. Phys. Lett. 77, 3719–3721 (2000).

[Crossref]

K. Liu, W. J. Lu, Y. P. Chen, and X. F. Chen, “Active control of group velocity by use of folded dielectric axes structures,” Appl. Phys. Lett. 97, 071104 (2010).

[Crossref]

T. Z. Shen, S. H. Hong, and J. K. Song, “Electro-optical switching of graphene oxide liquid crystals with an extremely large kerr coefficient,” Nat. Mater. 13, 394–399 (2014).

Y. P. Chen, R. Wu, X. L. Zeng, Y. X. Xia, and X. F. Chen, “Type i quasi-phase-matched blue second harmonic generation with different polarizations in periodically poled linbo3,” Opt. Laser Technol. 38, 19–22 (2006).

R. L. Jin, Y. H. Yu, H. Yang, F. Zhu, Q. D. Chen, M. B. Yi, and H. B. Sun, “Electro-optical detection based on large kerr effect in polymer-stabilized liquid crystals,” Opt. Lett. 37, 842–844 (2012).

[Crossref]

X. F. Chen, J. H. Shi, Y. P. Chen, Y. M. Zhu, Y. X. Xia, and Y. L. Chen, “Electro-optic solc-type wavelength filter in periodically poled lithium niobate,” Opt. Lett. 28, 2115–2117 (2003).

[Crossref]

R. DeSalvo, H. Vanherzeele, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, and E. W. Van Stryland, “Self-focusing and self-defocusing by cascaded second-order effects in ktp,” Opt. Lett. 17, 28–30 (1992).

[Crossref]

B. Daino, G. Gregori, and S. Wabnitz, “New all-optical devices based on third-order nonlinearity of birefringent fibers,” Opt. Lett. 11, 42–44 (1986).

[Crossref]

G. I. Stegeman, D. J. Hagan, and L. Torner, “χ (2) cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons,” Opt. Quantum Electron. 28, 1691–1740 (1996).

E. C. Stevenson and J. W. Beams, “The electro-optical kerr effect in gases,” Phys. Rev. 38, 133–140 (1931).

[Crossref]

M. Melnichuk and L. T. Wood, “Direct Kerr electro-optic effect in noncentrosymmetric materials,” Phys. Rev. A 82, 013821 (2010).

[Crossref]

C. Kolleck, “Cascaded second-order contribution to the third-order nonlinear susceptibility,” Phys. Rev. A 69, 053812 (2004).

[Crossref]

D. Wang, Y. Zhang, and M. Xiao, “Quantum limits for cascaded optical parametric amplifiers,” Phys. Rev. A 87, 023834 (2013).

[Crossref]

C. Bosshard, R. Spreiter, M. Zgonik, and P. Günter, “Kerr nonlinearity via cascaded optical rectification and the linear electro-optic effect,” Phys. Rev. Lett. 74, 2816–2819 (1995).

[Crossref]

Y. Shen, T. Watanabe, D. A. Arena, C. C. Kao, J. B. Murphy, T. Y. Tsang, X. J. Wang, and G. L. Carr, “Nonlinear cross-phase modulation with intense single-cycle terahertz pulses,” Phys. Rev. Lett. 99, 043901 (2007).

[Crossref]

A. Yariv and P. Yeh, Optical Waves in Crystals (Wiley, 1984), Vol. 8.

R. W. Boyd, Nonlinear Optics (Academic, 2003).