Branch Mathematics and Statistics Faculty and Staff Publications

Document Type

Article

Publication Date

9-30-2003

Abstract

The problem of determining a current density confined to a volume from measurements of the magnetic and electric fields it produces exterior to that volume is known to have nonunique solutions. Despite the nonuniqueness of the inversion we show that one may nevertheless uniquely determine certain moments of the vector spherical harmonic expansion of the current. It is demonstrated that the determination of these moments allows for the unique inversion of a current density confined to a spherical shell. Although unique the inversion may be ill conditioned and require a regularization of the inversion as demonstrated in an example numerical inversion.

Publisher

American Institute of Physics

Publication Title

Journal of Applied Physics

ISSN

0021-8979

Volume

94

Issue

8

First Page

5307

Last Page

5315

DOI

10.1063/1.1611262

Language (ISO)

English

Comments

2003 American Institute of Physics.

Article author is part of the Main Campus Math Department.

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