Determination of a power density by an entropy regularization method. (English) Zbl 1255.78042

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.


78M25 Numerical methods in optics (MSC2010)
78A40 Waves and radiation in optics and electromagnetic theory
Full Text: DOI