The direct and inverse scattering problems for partially coated obstacles
نویسندگان
چکیده
منابع مشابه
The direct and inverse scattering problems for partially coated obstacles
Abstract We consider the direct and inverse scattering problems for partially coated obstacles. To this end, we first use the method of integral equations of the first kind together with variational methods to solve a scattering problem for the Helmholtz equation where the scattered field satisfies mixed Dirichletimpedance boundary conditions on the Lipschitz boundary of the scatterer D. We the...
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در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
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We consider the inverse scattering problem of determining the shape of a partially coated obstacle in R 3 from a knowledge of the incident time harmonic electromagnetic plane wave and the electric far field pattern of the scattered wave. A justification is given of the linear sampling method in this case and numerical examples are provided showing the practicality of our method. 1. Introduction...
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Assume a time-harmonic electromagnetic wave is scattered by an infinitely long cylindrical conductor surrounded by an unknown piecewise homogeneous medium remaining invariant along the cylinder axis. We prove that, in TM mode, the far field patterns for all incident and observation directions at a fixed frequency uniquely determine the unknown surrounding medium as well as the shape of the cyli...
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ژورنال
عنوان ژورنال: Inverse Problems
سال: 2001
ISSN: 0266-5611,1361-6420
DOI: 10.1088/0266-5611/17/6/327