Optical response in two‐dimensional optical superlattices with Kerr nonlinearity

We present an analysis of the steady state optical response of two‐dimensional optical superlattices with Kerr nonlinearity. We consider the effects of the modification of the refractive index modulation strengths in the superlattices and the angular deviation of incoming radiation from Bragg conditions. We find that under Bragg incidence the system displays optical bistability only when the modulation ratio exceeds a certain threshold. We also predict that optical bistability can disappear under non‐Bragg incidence. Physical considerations are presented and discussed on how to optimize the chances for observing optical bistability in such a superlattice.

[1]  J. Sipe,et al.  COUPLED-MODE EQUATIONS FOR DEEP NONLINEAR GRATINGS , 1994 .

[2]  Joel R. Wendt,et al.  Optical properties of two‐dimensional photonic lattices fabricated as honeycomb nanostructures in compound semiconductors , 1994 .

[3]  Xu,et al.  Experimental observations of bistability and instability in a two-dimensional nonlinear optical superlattice. , 1993, Physical review letters.

[4]  M. S. Malcuit,et al.  Optical bistability in nonlinear periodic structures. , 1993, Optics letters.

[5]  Xu,et al.  Optical bistability in a two-dimensional nonlinear superlattice. , 1993, Physical review letters.

[6]  T. Brown,et al.  Optical switching dynamics of the nonlinear Bragg reflector: Comparison of theory and experiment , 1993 .

[7]  John D. Joannopoulos,et al.  Existence of a photonic band gap in two dimensions , 1992 .

[8]  Robertson,et al.  Measurement of photonic band structure in a two-dimensional periodic dielectric array. , 1992, Physical review letters.

[9]  Thomas G. Brown,et al.  All‐optical switching in a nonlinear periodic‐waveguide structure , 1992 .

[10]  Jian-Jun He,et al.  All-optical reflectivity tuning and logic gating in a GaAs/AlAs periodic layered structure , 1992 .

[11]  P. M. Platzman,et al.  Microwave propagation in two-dimensional dielectric lattices. , 1991, Physical review letters.

[12]  Feng,et al.  Light transmission in two-dimensional optical superlattices. , 1989, Physical review. A, General physics.

[13]  J. Sipe,et al.  Nonlinear Schroedinger solitons in a periodic structure. , 1988, Optics letters.

[14]  R. Zengerle,et al.  Light Propagation in Singly and Doubly Periodic Planar Waveguides , 1987 .

[15]  Chen,et al.  Optical response of nonlinear multilayer structures: Bilayers and superlattices. , 1987, Physical review. B, Condensed matter.

[16]  Mills Dl,et al.  Gap solitons in nonlinear periodic structures. , 1987 .

[17]  Elsa Garmire,et al.  Theory of bistability in nonlinear distributed feedback structures (A) , 1979 .

[18]  Alexei A. Maradudin,et al.  Two-dimensional photonic band structures , 1991 .

[19]  R. Spry,et al.  Theoretical intensity-dependent response of nonlinear periodic structures , 1990 .