Comparison of integral equations for the Maxwell transmission problem with general permittivities

被引：0
作者：
Johan Helsing
Anders Karlsson
Andreas Rosén
机构：
[1] Lund University,Centre for Mathematical Sciences
[2] Lund University,Electrical and Information Technology
[3] Chalmers University of Technology and the University of Gothenburg,Mathematical Sciences
来源：
Advances in Computational Mathematics | 2021年 / 47卷
关键词：
Maxwell’s equations; Electromagnetic scattering; Transmission problem; Boundary integral equation; Surface plasmon wave; Non-smooth object; 45E05; 78M15; 15A66; 65N38;
D O I：
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中图分类号：
学科分类号：
摘要：
Two recently derived integral equations for the Maxwell transmission problem are compared through numerical tests on simply connected axially symmetric domains for non-magnetic materials. The winning integral equation turns out to be entirely free from false eigenwavenumbers for any passive materials, also for purely negative permittivity ratios and in the static limit, as well as free from false essential spectrum on non-smooth surfaces. It also appears to be numerically competitive to all other available integral equation reformulations of the Maxwell transmission problem, despite using eight scalar surface densities.
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