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Zbl 1074.78506
He, Sailing; Romanov, Vladimir G.
Identification of dipole sources in a bounded domain for Maxwell's equations. (English)
[J] Wave Motion 28, No. 1, 25-40 (1998). ISSN 0165-2125

Summary: The inverse problem of determining the spatial current source distribution in a conducting object is formulated, with an emphasis on the case of a current dipole source. Some uniqueness results are established, and explicit formulas for identification of the location and moment of the dipole source are derived. The static case is considered, as well as the general case of an arbitrary frequency. The formulas are generalized to the case of a current dipole in a chiral object. The case when both a current dipole and a magnetic dipole exist is also considered.

MSC 2000:: *78A25 General electromagnetic theory
31B20 Boundary value and inverse problems (higher-dim. potential theory)
35J05 Laplace equation, etc.
35Q60 PDE of electromagnetic theory and optics
35R30 Inverse problems for PDE

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Zentralblatt MATH Berlin [Germany]