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

作　　者：PAOLO FERNANDES MIRCO RAFFETTO 

机构地区：[1]Istituto di Matematica Applicata e Tecnologie Informatiche del Consiglio Nazionale delle Ricerche Via De Marini 6,I-16149 Genoa,Italy [2]Department of Biophysical and Electronic Engineering University of Genoa,Via Opera Pia 11a I-16145,Genoa,Italy

出　　处：《International Journal of Modeling, Simulation, and Scientific Computing》2013年第3期97-148,共52页建模、仿真和科学计算国际期刊（英文）

摘　　要：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 media.It 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 sources.However,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 ill-posed.These 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 present.These effects on finite element simulators are fully analyzed.Finally,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. 

分 类 号：O17[理学—数学]