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SIMULATION OF AVERAGED SCATTERING CHARACTERISTICS OF DIELECTRIC PARTICLES IN A 2D DIFFRACTION PROBLEM USING PATTERN EQUATION METHOD AND T-MATRIX METHOD
Dmitrii B. Demin, Moscow Technical University of Communications and Informatics, Moscow, Russia, dbdemin@gmail.com
Abstract
This article considers solution to 2D diffraction problem for dielectric infinite body using pattern equation method (PEM) and T-matrix method (TMM). For the first time, PEM is summarized to search averaged scattering characteristics for a dielectric scatterer case. Averaging is made for radiation angles. Averaging methods in PEM and TMM are compared. Advantages and disadvantages of two methods are indicated and calculation results are compared for different geometries of cylinder cross section: circle, ellipse, twolobe, and superellipse. To verify the convergence of numerical algorithms of two methods, fulfillment of optical theorem was checked both in absence of absorption and in its presence inside the body. As expected, TMM has demonstrated a high speed of convergence and high accuracy for all so-called Rayleigh bodies. Convergence speed of PEM numerical algorithm turned out to be slightly worse than the one of TMM but calculation accuracy of PEM was higher. It is demonstrated that PEM can be applied to a wider range of scatterer geometry, namely, to all so-called weakly non-convex scatterers, which include all Rayleigh bodies and bodies with non-analytical boundary. TMM numerical algorithm is unstable for the majority of non-Rayleigh bodies and leads to wrong results. The developed method of averaging in PEM and TMM can be summarized easily for the case of layered bodies and several dielectric bodies.
Keywords: scattering pattern, pattern equations method, T-matrix method, dielectric scatterer, averaging, optical theorem.
References
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Information about author:
Dmitrii B. Demin, Assistant Professor, Ph.D., Moscow Technical University of Communications and Informatics, Moscow, Russia