Abstract
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.
Original language | English |
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Article number | RS2020 |
Number of pages | 10 |
Journal | Radio Science |
Volume | 39 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2004 |
MoE publication type | A1 Journal article-refereed |
Keywords
- inverse problems
- minimum energy sources
- prolate spheroid