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The inverse source problem for Maxwell’s equations. (English) Zbl 1099.35161

Summary: The inverse source problem for Maxwell’s equations is considered. We show that the problem of finding a volume current density from surface measurements does not have a unique solution, and characterizes the non-uniqueness. We also show that if further a priori information is available, the inverse source problem may have a unique solution (in particular for surface currents or dipole sources).

MSC:

35R30 Inverse problems for PDEs
35Q60 PDEs in connection with optics and electromagnetic theory
78A25 Electromagnetic theory (general)
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