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Identification of dipole sources in a bounded domain for Maxwell’s equations. (English) Zbl 1074.78506
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:
78A25 Electromagnetic theory, general
31B20 Boundary value and inverse problems for harmonic functions in higher dimensions
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
35Q60 PDEs in connection with optics and electromagnetic theory
35R30 Inverse problems for PDEs
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