Decoupled field integral equations for electromagnetic scattering from homogeneous penetrable obstacles

被引：11
|
作者：
Vico, Felipe [1 ]
Greengard, Leslie [2 ,3 ]
Ferrando, Miguel [1 ]
机构：
[1] Univ Politecn Valencia, Inst Telecomunicac & Aplicac Multimedia, Valencia, Spain
[2] NYU, Courant Inst, New York, NY USA
[3] Flatiron Inst, Ctr Computat Biol, New York, NY USA
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2018年 / 43卷 / 02期
关键词：
Charge-current formulations; dielectric interface; electromagnetic scattering; electromagnetic theory; integral equations; low-frequency breakdown; Maxwell equations; 31B10; 31B20; 35Q61; 45B05; 65N38; 65N80; 78M05; 78M15; 78M16; TRANSMISSION PROBLEMS; DIELECTRIC BODIES; FORMULATION; OBJECTS;
D O I：
10.1080/03605302.2018.1446447
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a new method for the analysis of electromagnetic scattering from homogeneous penetrable bodies. Our approach is based on a reformulation of the governing Maxwell equations in terms of two uncoupled vector Helmholtz systems: one for the electric field and one for the magnetic field. This permits the derivation of resonance-free Fredholm equations of the second kind that are stable at all frequencies, insensitive to the genus of the scatterers, and invertible for all passive materials including those with negative permittivities or permeabilities. We refer to these as decoupled field integral equations.
引用
收藏
页码：159 / 184
页数：26
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