Optical fluxes in parallel plane nonlinear waveguide arrays in linear optical media

Abstract

In one of our recent papers (see Radiotekhnika, vol. 110, p. 134, 1999) we described the propagation of the optical flux in the system of two coupled parallel plane waveguides in a nonlinear optical medium. We obtained the value of the light beam interaction in the optical waveguides and the set of the discrete nonlinear equations supposing that waveguides and environment differ in the linear refractive indexes. We demonstrated the possibility of the localization of the nonlinear light flux only on one waveguide. We took into account only the nonlinear Kerr terms inside the waveguides. We used the restriction of a linear optical medium between the waveguides. The equation which describes the slow varying of the envelope of the complex field is directed perpendicularly to the planes of the parallel waveguides.