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2004-06-22

Symmetry Relations of the Translation Coefficients of the Spherical Scalar and Vector Multipole Fields

By Kristopher Kim
Progress In Electromagnetics Research, Vol. 48, 45-66, 2004
doi:10.2528/PIER04040601

Abstract

We offer symmetry relations of the translation coefficients of the spherical scalar and vector multi-pole fields. These relations reduce the computational cost of evaluating and storing the translation coefficients and can be used to check the accuracy of their computed values. The symmetry relations investigated herein include not only those considered earlier for real wavenumbers by Peterson and Ström [9], but also the respective symmetries that arise when the translation vector is reflected about the xy-, yz-, and zx-planes. In addition, the symmetry relations presented in this paper are valid for complex wavenumbers and are given in a form suitable for exploitation in numerical applications.

Citation

 (See works that cites this article)
Kristopher Kim, "Symmetry Relations of the Translation Coefficients of the Spherical Scalar and Vector Multipole Fields," Progress In Electromagnetics Research, Vol. 48, 45-66, 2004.
doi:10.2528/PIER04040601
http://jpier.org/PIER/pier.php?paper=0404061

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