Abstract

AbstractElectromagnetic inverse problems are discussed in this article. First, these problems are defined; then the mathematical challenges involved and some future research directions in this topic are discussed. A survey on the state of the art in electromagnetic inverse problems is presented next. The survey includes a brief history of the research on electromagnetic inverse problems, an overview of practical application areas, and a brief summary of the fundamental theories involved in the electromagnetic inverse problems and the inversion algorithms developed. The survey also covers the well‐known real dataset and the tested inversion algorithms. Finally, a standard electromagnetic inverse problem—the reconstruction of multiple perfectly conducting cylinders—is presented to demonstrate clearly the aspects of the electromagnetic inverse problems.

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