Abstract
Reconstruction of electromagnetic minimum energy sources in a prolate spheroid
Reconstruction of electromagnetic minimum energy sources in a prolate spheroid
J. C.-E. Sten
Technical Research Centre of Finland, VTT Information Technology, Espoo, Finland
The inverse problem of reconstructing time-harmonic minimum energy current distributions in a spheroidal volume from given
data of far-field radiation is addressed. Following the procedure outlined by
Marengo and Devaney [1999]
, we formulate, upon deriving a spherical harmonics expansion of the electromagnetic field radiated by a current inside a
prolate spheroid, the inverse problem in terms of linear operator theory. Owing to the lack of orthogonality of spheroidal
vector wave functions, every eigenfunction will couple with several spherical radiation modes at a time, making the solution
rather involved. Simplification is achieved in the special case of rotationally symmetric fields, for which numerical examples
are given. As an application, the use of minimum energy currents for identifying distributions of nonradiating current in
a spheroidal volume is pointed out.
Received 11
September
2003;
accepted 11
March
2004;
published 22
April
2004.
Citation: Sten, J. C.-E.
(2004),
Reconstruction of electromagnetic minimum energy sources in a prolate spheroid,
Radio Sci.,
39,
RS2020,
doi:10.1029/2003RS002973.
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