Abstract
In this paper, the scattering problems by columnar dielectric gratings will elliptically layered media are analyzed using the combination of improved Fourier series expansion method and the multilayer method. Numerical results are given for the transmitted scattered characteristics for the case of incident angle and frequency by varying the grating shape whose profile is the elliptic cylinders, and whose interior distribution of permittivity is an elliptically layered medium for both TM and TE waves. The influences of the incident angle and frequency of the transmitted power are compared between inhomogeneous case and homogeneous case