Inverse Source Problem in the Spheroidal Geometry: Vector Formulation

A formulation based on Lagrangian optimization and spheroidal vector wave functions is presented for the vector electromagnetic inverse source problem of deducing a time-harmonic current distribution that is confined within a spheroidal volume, that generates a prescribed radiation field, and that i...

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Bibliographic Details
Published in:IEEE transactions on antennas and propagation 2008-04, Vol.56 (4), p.961-969
Main Authors: Sten, J.C.-E., Marengo, E.A.
Format: Article
Language:English
Subjects:
Antennas
Applied sciences
Character generation
Constraint optimization
Current distribution
Electromagnetic fields
Electromagnetic radiation
Electromagnetic scattering
Exact sciences and technology
Geometry
Inverse
Inverse source problem
Lagrangian functions
Mathematical analysis
Mathematical models
minimum energy solution
Optimization
Power generation
Radiocommunications
Reactive power
spheroidal wavefunctions
Telecommunications
Telecommunications and information theory
Vectors (mathematics)
Wave functions
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Description
Summary:A formulation based on Lagrangian optimization and spheroidal vector wave functions is presented for the vector electromagnetic inverse source problem of deducing a time-harmonic current distribution that is confined within a spheroidal volume, that generates a prescribed radiation field, and that is subject to given constraints on the source functional energy, which characterizes antenna current level, and the source's reactive power, which models antenna resonance matching. The paper includes computer simulation results illustrating the derived inverse theory.
ISSN:0018-926X
1558-2221
DOI:10.1109/TAP.2008.919176