Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Solutions of the electromagnetic wave equations for point dipole sources and spherical boundaries


Author: M. T. Hirvonen
Journal: Quart. Appl. Math. 39 (1981), 275-286
MSC: Primary 78A25; Secondary 35Q20
DOI: https://doi.org/10.1090/qam/625474
MathSciNet review: 625474
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Abstract: Solutions of the electromagnetic wave equation are derived in systems containing spherical interfaces when the source field is that of a magnetic or electric point dipole. Piecewise constant electromagnetic parameters are assumed, but their values as well as the frequency of the source field are arbitrary. The solutions are obtained in terms of scalar and vector spherical harmonics. A sphere embedded in full space with a radial or transverse source dipole is considered explicitly.


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DOI: https://doi.org/10.1090/qam/625474
Article copyright: © Copyright 1981 American Mathematical Society


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