Natural-mode Representation for the Field Reflected by an Inhomogeneous Conductor-backed Material Layer – TM Case

Abstract

The reflection of a TM-polarized plane wave by a conductor-backed, inhomogeneous, planar material layer is considered. The field within the layer is found either by solving a differential equation, or by solving an equivalent integral equation. The transient field reflected by the layer is determined by performing a natural-mode expansion, where the natural resonance frequencies of the layer are found by solving a homogeneous integral equation for the field within the layer. The resulting waveform is verified by comparison to the fast Fourier transform of the frequency-domain reflection coefficient.