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29 March 2005 Determination of a power density by an entropy regularization method
Olivier Prot, Maïtine Bergounioux, Jean Gabriel Trotignon
J. Appl. Math. 2005(2): 127-152 (29 March 2005). DOI: 10.1155/JAM.2005.127


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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Olivier Prot. Maïtine Bergounioux. Jean Gabriel Trotignon. "Determination of a power density by an entropy regularization method." J. Appl. Math. 2005 (2) 127 - 152, 29 March 2005.


Published: 29 March 2005
First available in Project Euclid: 19 April 2005

zbMATH: 1255.78042
MathSciNet: MR2182118
Digital Object Identifier: 10.1155/JAM.2005.127

Rights: Copyright © 2005 Hindawi

Vol.2005 • No. 2 • 29 March 2005
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