Iterative forward and inverse algorithms based on domain integral equations for three-dimen\-sional electric and magnetic objects.
In this paper the authors present an inversion method which can be used to invert the electric and magnetic contrast of a three-dimensional object, using a full vectorial formulation. Since this type of inverse problem involves a large number of unknowns, it should be solved as efficiently as possible. To this end, the authors employ the so-called multiplicative regularized contrast source inversion which has the following advantages above other full nonlinear inversion methods known in the literature: a) it does not solve a full forward problem in each iterative step b) it uses a multiplicative constraint, hence the weighting parameter of the regularization factor used in this algorithm is determined automatically. The authors present some numerical results illustrating the ability of their numerical algorithm.
scientific article; zbMATH DE number 2062897