SPECTRAL THEORY OF EM WAVE SCATTERING BY PERIODIC STRIPS

A new method is proposed for analyzing electromagnetic (EM) wave scatt ering and waveguiding by a planar periodic system of thin and perfectl y conducting strips, The method exploits some known properties of Four ier series with coefficients expressed by Legendre polynomials. The me thod can be used to solve problems associated with Ehl wave propagatio n and polarization having an arbitrary angle with respect to strips in arbitrary anisotropic media, multiperiodic systems of strips, and lay ered systems of skewed periodic strips, In the paper the method is pre sented by an example, namely the scattering of EM waves from a grating consisting of perfectly conducting strips in vacuum. Numerical calcul ations show that the method converges much faster than do alternative methods.