Methods and Applications of Analysis

Volume 19 (2012)

Number 4

Transmission problem for the electromagnetic scattering by a dissipative chiral obstacle

Pages: 359 – 380

DOI: http://dx.doi.org/10.4310/MAA.2012.v19.n4.a3

Author

Hanna Kiili (Department of Mathematical Sciences, University of Oulu, Finland)

Abstract

Electromagnetic scattering by a dissipative chiral obstacle in achiral surrounding leads to a transmission problem. The transmission problem is reduced to a single integral equation over the boundary of the obstacle with one unknown tangential vector field. The equation is shown to be uniquely solvable except for some values of the material parameters and the frequency. The principal symbol of a boundary integral operator is also calculated.

Keywords

transmission problem, electromagnetic scattering, chiral media, boundary integral equation

2010 Mathematics Subject Classification

35Q61, 45B05, 78A45

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