Analysis of Lossy Inhomogeneous Planar Layers Using Equivalent Sources Method

Abstract

Abstract-A new method is introduced to analyze lossy Inhomogeneous Planar Layers (IPLs). In this method, the equations of IPLs are converted to the equations of homogeneous planar layers, which have been excited by distributed equivalent sources. Then, the electric and magnetic fields are obtained using an iterative approach. The validity of the method is verified using a comprehensive example.

Identification of Inhomogeneous or Multilayer Dielectric Walls

“…The differential equations describing IDWs have nonconstant coefficients and so except for a few special cases no closed form analytic solution exists for them. There are some methods to analyze IDWs such as finite difference [11], Taylor's series expansion [12], Fourier series expansion [13], the method of Moments [14] and the equivalent sources method [15]. Of course, the most straightforward method is subdividing IDWs into K homogeneous electrically thin layers with thickness …”

Multi-Resolution Retrieval of Non-Measurable Equivalent Currents in Microwave Imaging Problems-Experimental Assessment

“…Despite the linearity of the inverse source problem with respect to the unknown equivalent current density within the investigation domain [5][6][7], the problem still remains ill-posed in the sense of Hadamard [11]. As a matter of fact, the presence of nonradiating, or non-measurable contributions, causes the non-uniqueness of the equivalent source [9,10]. As regards the null space in source type integral equations, several theoretical studies have been reported in the scientific literature [11][12][13].…”

A New Mathematical Proposal for Generation of Shape Invariant Potentials and Optical Medium Using Supersymmetric Quantum Mechanics

“…Also, there are different numerical methods for investigation of inhomogeneous media reported in [25][26][27][28][29][30][31][32]. In these papers different approaches were presented and studied in detail.…”