Inverse Source Problem in an Oblate Spheroidal Geometry

Author

Sten, Johan C E ; Marengo, Edwin A.

Author_Institution

Inf. Technol., Tech. Res. Centre of Finland, Espoo

Volume

54

Issue

11

fYear

2006

Firstpage

3418

Lastpage

3428

Abstract

The canonical inverse source problem of reconstructing an unknown source whose region of support is describable as a spheroidal (oblate or prolate) volume from knowledge of the far-field radiation pattern it generates is formulated and solved within the framework of the inhomogeneous scalar Helmholtz equation via a linear inversion framework in Hilbert spaces. Particular attention is paid to the analysis and computer illustration of flat, aperture-like sources whose support is approximated by an oblate spheroidal volume

Keywords

Helmholtz equations; Hilbert spaces; antenna radiation patterns; antenna theory; aperture antennas; approximation theory; inhomogeneous media; inverse problems; Hilbert space; aperture-like source; approximation; canonical inverse source problem; far-field radiation pattern; flat source; inhomogeneous scalar Helmholtz equation; linear inversion framework; oblate spheroidal geometry; Apertures; Focusing; Geometry; Helium; Hilbert space; Information technology; Laplace equations; Needles; Q factor; Shape; Inverse source problem; minimum energy source; nonradiating source; spheroidal wave;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2006.884292

Filename

4012474