Spectral-Domain-Based Scattering Analysis of Fields Radiated by Distributed Sources in Planar-Stratified Environments with Arbitrarily Anisotropic Layers

摘要

We discuss the numerically stable, spectral-domain computation and extractionof the scattered electromagnetic field excited by distributed sources embeddedin planar-layered environments, where each layer may exhibit arbitrary andindependent electrical and magnetic anisotropic response and loss profiles.This stands in contrast to many standard spectral-domain algorithms that arerestricted to computing the fields radiated by Hertzian dipole sources inplanar-layered environments where the media possess azimuthal-symmetricmaterial tensors (i.e., isotropic, and certain classes of uniaxial, media).Although computing the scattered field, particularly when due to distributedsources, appears (from the analytical perspective, at least) relativelystraightforward, different procedures within the computation chain, if nottreated carefully, are inherently susceptible to numerical instabilities and(or) accuracy limitations due to the potential manifestation of numericallyoverflown and (or) numerically unbalanced terms entering the chain. Therefore,primary emphasis herein is given to effecting these tasks in a numericallystable and robust manner for all ranges of physical parameters. Afterdiscussing the causes behind, and means to mitigate, these sources of numericalinstability, we validate the algorithm's performance against closed-formsolutions. Finally, we validate and illustrate the applicability of theproposed algorithm in case studies concerning active remote sensing of marinehydrocarbon reserves embedded deep within lossy, planar-layered media.