Reconstruction of electromagnetic minimum energy sources in a prolate spheroid

doi:doi:10.1029/2003RS002973

Abstract

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Abstract

RADIO SCIENCE, VOL. 39, RS2020, 10 PP., 2004
doi:10.1029/2003RS002973

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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