The application of integral equations to calculation of diffraction on inhomogeneities in lightguide structures

Abstract

The numerical code for the simulating of electric fields scattered on two-dimensional bodies of arbitrary shape and either law of nonlinearity is elaborated. In this paper we present results of calculations for cylinders of elliptical cross-section and quadratic nonlinearity law. Due to good convergence of series and integrals it is enough to sum 20-30 terms in series and numerical quadrature to get a deviation up to 0.1%. In this paper we have simulated the power transmitting coefficients for diffraction on: 1) grating made of dielectric rods; 2) dielectric rod set inside of a planar metallic waveguide; 3) dielectric rod situated next to a dielectric planar waveguide layer.