Scattering of electromagnetic waves by dielectric gratings with elliptically layered media

We have analyzed the scattering of electromagnetic waves by dielectric gratings with elliptically layered media using an improved Fourier series expansion method and a multilayer method. Numerical results are given for the transmitted scattered characteristics for the case of incident angle and frequency for both TM and TE waves. The influences of the incident angle and the frequency on the transmitted power are compared for circular cylinders and elliptic cylinders.