This paper reports a new procedure for specifying monochromatic nonradiating (NR) current distributions (NR sources) and the electric and magnetic fields they produce (NR fields). Vector spherical harmonics and a Fourier–Bessel series are used to derive a new vector spherical-wave expansion for continuous NR fields confined within a spherical volume. The analysis yields complete orthogonal sets in terms of which all such NR fields can be expanded. By making use of a Maxwell operator representation for NR current distributions, we obtain a new series expansion for NR current distributions confined within a spherical volume. The analysis also yields complete sets for such NR current distributions. The developed theory is illustrated with special cases.
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February 2000
Research Article|
February 01 2000
A new procedure for specifying nonradiating current distributions and the fields they produce
Edwin A. Marengo;
Edwin A. Marengo
Department of Electrical and Computer Engineering, The University of Arizona, Tucson, Arizona 85721
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Richard W. Ziolkowski
Richard W. Ziolkowski
Department of Electrical and Computer Engineering, The University of Arizona, Tucson, Arizona 85721
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J. Math. Phys. 41, 845–866 (2000)
Article history
Received:
February 08 1999
Accepted:
September 24 1999
Citation
Edwin A. Marengo, Richard W. Ziolkowski; A new procedure for specifying nonradiating current distributions and the fields they produce. J. Math. Phys. 1 February 2000; 41 (2): 845–866. https://doi.org/10.1063/1.533166
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