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.
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. https://doi.org/10.1155/JAM.2005.127