DETERMINATION OF A POWER DENSITY BY AN ENTROPY REGULARIZATION METHOD

Maïtine Bergounioux (1) , Olivier Prot (1, 2) , Jean-Gabriel Trotignon (2)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
2 LPCE - Laboratoire de physique et chimie de l'environnement

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

Mots clés: inverse problem; entropy regularization

Domaines: Optimisation et contrôle [math.OC]

Maïtine Bergounioux, Olivier Prot, Jean-Gabriel Trotignon. DETERMINATION OF A POWER DENSITY BY AN ENTROPY REGULARIZATION METHOD. Journal of Applied Mathematics, 2005, 308, n°2, pp 127-152. ⟨10.1155/JAM.2005.1⟩. ⟨hal-00022002⟩