Determination of a power density by an entropy regularization method

Olivier Prot, Maïtine Bergounioux and Jean Gabriel Trotignon

Journal of Applied Mathematics, 2005, vol. 2005, 1-26

Abstract:

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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:526258

DOI: 10.1155/JAM.2005.127

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