Inverse Source Problem in the Spheroidal Geometry: Vector Formulation

Author

Sten, Johan C -E ; Marengo, Edwin A.

Author_Institution

VTT Tech. Res. Centre of Finland, Espoo

Volume

56

Issue

4

fYear

2008

fDate

4/1/2008 12:00:00 AM

Firstpage

961

Lastpage

969

Abstract

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.

Keywords

current distribution; electromagnetism; geometry; inverse problems; wave equations; Lagrangian optimization; antenna current level; antenna resonance matching; functional energy; spheroidal geometry; spheroidal vector wave functions; time-harmonic current distribution; vector electromagnetic inverse source problem; vector formulation; Character generation; Constraint optimization; Current distribution; Electromagnetic fields; Electromagnetic radiation; Electromagnetic scattering; Geometry; Lagrangian functions; Power generation; Wave functions; Inverse source problem; minimum energy solution; reactive power; spheroidal wavefunctions;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2008.919176

Filename

4483615