Natural-Mode Representation for the Field Reflected by an Inhomogeneous Conductor-Backed Material Layer - Te Case

Abstract

Abstract-The transient plane-wave field reflected by a conductorbacked, inhomogeneous, planar material layer is considered. The reflected field is written as a natural-mode expansion, and the natural resonance frequencies of the slab are found by solving a homogeneous integral equation for the field within the slab. Several examples are considered, and the natural mode series is verified by comparison to the inverse fast-Fourier transform of the frequency-domain reflected field.

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

“…In [1], both collocation (rectangular pulse function expansion with point matching) and Galerkin's method with continuous basis functions were used successfully to solve for the electric field. For simplicity, only collocation is investigated here, although Galerkin's method is also valid.…”

“…In a recent publication [1], the author demonstrated that the TEpolarized transient plane-wave field reflected by an inhomogeneous, conductor-backed planar layer may be written as a natural-mode series. This representation, based on the singularity expansion method of Baum [2] and first described for a homogeneous layer by Perry [3], may be used to establish a technique to diagnose changes to the material properties of the layer [4].…”

Characterization of Perfectly Conducting Targets in Resonance Domain With Their Quality of Resonance

“…The interest for the characterization of targets led to the development of algorithms for finding resonance poles and their associated residues, using either the impulse response of targets in the time domain or their transfer function in the frequency domain [2,[9][10][11][12][13][14][15][16][17][18]. For our simulations, we can use any of existing methods of poles extraction.…”

Analysis of Lossy Inhomogeneous Planar Layers Using Equivalent Sources Method

“…The most straightforward method to analyze IPLs is to subdivide them into many thin homogeneous planar layers [2] and [9]. Of course, analysis of arbitrary IPLs using Taylor's series and the Fourier series expansion of primary parameters or solving an integral equation has been introduced in [10,11] and [12], respectively. In this paper, a new method is introduced to analyze arbitrary IPLs, also.…”