Vol. 149

2014-08-23

Surface and Volume Integral Equation Methods for Time-Harmonic Solutions of Maxwell's Equations (Invited Paper)

By

Progress In Electromagnetics Research, Vol. 149, 15-44, 2014

Abstract

During the last two-three decades the importance of computer simulations based on numerical full-wave solutions of Maxwell's has continuously increased in electrical engineering. Software products based on integral equation methods have an unquestionable importance in the frequency domain electromagnetic analysis and design of open-region problems. This paper deals with the surface and volume integral equation methods for finding time-harmonic solutions of Maxwell's equations. First a review of classical integral equation representations and formulations is given. Thereafter we briefly overview the mathematical background of integral operators and equations and their discretization with the method of moments. The main focus is on advanced techniques that would enable accurate, stable, and scalable solutions on a wide range of material parameters, frequencies and applications. Finally, future perspectives of the integral equation methods for solving Maxwell's equations are discussed.

Citation

Pasi Yla-Oijala,
Johannes Markkanen,
Seppo Jarvenpaa,
and
Sami P. Kiminki,
"Surface and Volume Integral Equation Methods for Time-Harmonic Solutions of Maxwell's Equations (Invited Paper)," *Progress In Electromagnetics Research*,
Vol. 149, 15-44, 2014.

doi:10.2528/PIER14070105

http://www.jpier.org/PIER/pier.php?paper=14070105
doi:10.2528/PIER14070105

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