Prot, Olivier; Bergounioux, Maïtine; Trotignon, Jean Gabriel Determination of a power density by an entropy regularization method. (English) Zbl 1255.78042 J. Appl. Math. 2005, No. 2, 127-152 (2005). Summary: 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. MSC: 78M25 Numerical methods in optics (MSC2010) 78A40 Waves and radiation in optics and electromagnetic theory PDF BibTeX XML Cite \textit{O. Prot} et al., J. Appl. Math. 2005, No. 2, 127--152 (2005; Zbl 1255.78042) Full Text: DOI OpenURL