Abstract

In this paper, we explore the effects of polarization, incidence angle, layer thickness, and permittivity profiles on reflection and transmission characteristics. Hill’s method used in this work is an efficient tool to obtain an analytical solution of the propagation equations and can be applied to all arbitrary profiles of permittivity and permeability. Using Hill’s method and an arbitrary profile of permittivity, numerical simulations for both polarizations transverse electric and transverse magnetic waves are performed to compute the reflection and transmission coefficients of spectrum analyzer, frequency selective surfaces (FSS), and electromagnetic bandgap (EBG) structures having optimized thickness.

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