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PIER PIER B PIER C PIER M PIER Letters
2014-08-23
Surface and Volume Integral Equation Methods for Time-Harmonic Solutions of Maxwell's Equations (Invited Paper)
By
Pasi Yla-Oijala,

    Dr. Pasi Yla-Oijala

    Department of Radio Science and Engineering

    Aalto University

    Finland

    Homepage

Johannes Markkanen,

    Dr. Johannes Markkanen

    Department of Physics

    University of Helsinki

    Finland

    Homepage

Seppo Jarvenpaa,

    Dr. Seppo Jarvenpaa

    Aalto Univ

    Finland

    Homepage

Sami P. Kiminki

    Dr. Sami P. Kiminki

    Department of Radio Science and Engineering

    Aalto University

    Finland

    Homepage

Progress In Electromagnetics Research, Vol. 149, 15-44, 2014
doi:10.2528/PIER14070105
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
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