Perturbative Reciprocal Formulation for Maxwell's Equations a First Approach

Abstract : We invests ale theoretically the elect field scattered by a manufactured object having inhomogeneous perturbations of electromagnetic material properties. A known objet haring the same geometry and homogeneous material properties is exploited as a reference. Hence only small variations from reference configuration are of interest. Starting from the Volumetric-Perturbative Reciprocal Theory (VPRT), we derive an expression of the relationship between the reference configuration (which is supposed perfectly knoll ni and the perturbed one in addition to the permittivity, we extend the VPRT to permeability perturbations and we derive the first order expression for axisymmetric objects having axisymmetric perturbations. The resulting formulation can he used in a direct way=, for example to propagate uncertainties, as vvell as to solve an inverse problem for example in non-destructive testing, applications.
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https://hal-univ-rennes1.archives-ouvertes.fr/hal-02083891
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Submitted on : Friday, March 29, 2019 - 11:44:47 AM
Last modification on : Thursday, June 20, 2019 - 3:40:17 PM

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S. Loillier, B. Etchessahar, G. Maze-Merceur, Stéphane Meric, Renaud Loison. Perturbative Reciprocal Formulation for Maxwell's Equations a First Approach. IEEE-Antennas-and-Propagation-Society International Symposium on Antennas and Propagation / USNC/URSI National Radio Science Meeting, Jul 2018, Boston, MA, United States. ⟨10.1109/apusncursinrsm.2018.8608956⟩. ⟨hal-02083891⟩

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