On a Constrained Pseudoinverse for the Electromagnetic Inverse Source Problem
Abstract
Inverse source approaches have shown their relevance for several applications in the past years. They rely on the solution of an ill-posed problem where near-field/current data is reconstructed starting from far-field (or less informative field) information. Standard strategies, including the physically constrained ones using Love conditions, result in linear systems to be pseudoinverted which are still ill-conditioned due to the lack of information from the evanescent fields. In this work we present a generalized pseudoinverse for those problems that allows the inclusion of extra constraints from the evanescent field space, when available. This is obtained by dropping some of the standard Moore-Penrose (MP) requirements and using the resulting degrees of freedom to obtain a generalized pseudoinverse that shows favorable performance in several cases of practical interest.
Cite
@article{arxiv.2205.03694,
title = {On a Constrained Pseudoinverse for the Electromagnetic Inverse Source Problem},
author = {Ermanno Citraro and Alexandre Dély and Adrien Merlini and Francesco Paolo Andriulli},
journal= {arXiv preprint arXiv:2205.03694},
year = {2022}
}