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REALISTIC AND CORRECT MODELS OF IMPRESSED SOURCES FOR TIME-HARMONIC ELECTROMAGNETIC BOUNDARY VALUE PROBLEMS INVOLVING METAMATERIALS

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International Journal of Modeling, Simulation, and Scientific Computing 2013年第3期4卷 97-148页

作者： paolo fernandes MIRCO RAFFETTO Istituto di Matematica Applicata e Tecnologie Informatiche del Consiglio Nazionale delle Ricerche Via De Marini 6 I-16149 GenoaItaly Department of Biophysical and Electronic Engineering University of Genoa Via Opera Pia 11a I-16145GenoaItaly

The aim of this work is to analyze the role of the impressed sources in determining the well or ill-posedness of time harmonic electromagnetic boundary value problems involving isotropic effective *** is shown,in particular,that,even if all interfaces are regular,the class of ill-posed problems can be very large in the presence of general square-integrable impressed ***,when a simple and realistic constraint is enforced on these sources,requiring that the support of the sources does not include any interface between a traditional medium and a metamaterial,among the problems here considered just those involving an interface between complementary materials remain *** considerations have a very significant impact also on the approximability of the solution of well-posed problems since the numerical noise can introduce small fictitious sources even where the sources to be simulated are not *** effects on finite element simulators are fully ***,we propose an algorithm that allows to obtain much better approximations of the solutions of the most critical wellposed problems.

关键词： Time-harmonic electromagnetic boundary value problems electromagnetic modeling of composite media waveguide discontinuity problems ill-posedness metamaterials electromagnetic simulators finite element methods.

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