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.
On a Constrained Pseudoinverse for the Electromagnetic Inverse Source Problem / Citraro, E.; Dely, A.; Merlini, A.; Andriulli, F. P.. - ELETTRONICO. - (2022), pp. 1942-1943. (Intervento presentato al convegno 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (AP-S/USNC-URSI) tenutosi a Denver (USA) nel 10-15 July 2022) [10.1109/AP-S/USNC-URSI47032.2022.9886331].
On a Constrained Pseudoinverse for the Electromagnetic Inverse Source Problem
Citraro, E.;Dely, A.;Andriulli, F. P.
2022
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.File | Dimensione | Formato | |
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https://hdl.handle.net/11583/2981990