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Article Dans Une Revue IEEE Transactions on Antennas and Propagation Année : 2023

Stabilized Single Current Inverse Source Formulations Based on Steklov-Poincaré Mappings

Résumé

The inverse source problem in electromagnetics has proved quite relevant for a large class of applications. When it is coupled with the equivalence theorem, the sources are often evaluated as electric and/or magnetic current distributions on an appropriately chosen equivalent surface. In this context, in antenna diagnostics in particular, Love solutions, i.e., solutions which radiate zero-fields inside the equivalent surface, are often sought at the cost of an increase of the dimension of the linear system to be solved. In this work, instead, we present a reduced-in-size single current formulation of the inverse source problem that obtains one of the Love currents via a stable discretization of the Steklov-Poincaré boundary operator leveraging dual functions. The new approach is enriched by theoretical treatments and by a further low-frequency stabilization of the Steklov-Poincaré operator based on the quasi-Helmholtz projectors that is the first of its kind in this field. The effectiveness and practical relevance of the new schemes are demonstrated via both theoretical and numerical results.

Dates et versions

hal-04180135 , version 1 (11-08-2023)

Identifiants

Citer

Paolo Ricci, Ermanno Citraro, Adrien Merlini, Francesco Andriulli. Stabilized Single Current Inverse Source Formulations Based on Steklov-Poincaré Mappings. IEEE Transactions on Antennas and Propagation, In press, pp.1-1. ⟨10.1109/TAP.2023.3302748⟩. ⟨hal-04180135⟩
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