Olivier Prot, Maïtine Bergounioux, Jean Gabriel Trotignon, "Determination of a power density by an entropy regularization method", Journal of Applied Mathematics, vol. 2005, Article ID 526258, 26 pages, 2005. https://doi.org/10.1155/JAM.2005.127
Determination of a power density by an entropy regularization method
The determination of directional power density distribution of an electromagnetic wave from the electromagnetic field measurement can be expressed as an ill-posed inverse problem. We consider the resolution of this inverse problem via a maximum entropy regularization method. A finite-dimensional algorithm is derived from optimality conditions, and we prove its convergence. A variant of this algorithm is also studied. This second one leads to a solution which maximizes entropy in the probabilistic sense. Some numerical examples are given.
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