Combined complex-source beam and spherical-multipole analysis for the electromagnetic probing of conical structures

Ludger Klinkenbusch; Hendrik Brüns

doi:10.1016/j.crhy.2016.07.018

Probing matter with electromagnetic waves / Sonder la matière par les ondes électromagnétiques

Combined complex-source beam and spherical-multipole analysis for the electromagnetic probing of conical structures
[Combinaison de faisceaux de sources complexes et décomposition en modes sphériques pour le sondage électromagnétique des structures coniques]

Ludger Klinkenbusch ¹ ; Hendrik Brüns ¹

¹ Kiel University, Kaiserstr. 2, 24143 Kiel, Germany

Comptes Rendus. Physique, Volume 17 (2016) no. 9, pp. 960-965.

Résumé
Abstract

Cet article présente la combinaison de l'analyse de multipôles sphériques en coordonnées sphéro-coniques avec une faisceau de source complexe (Complex Source Beam, CSB) dans le but d'analyser la diffusion localisée par un cône elliptique parfaitement conducteur d'une onde plane électromagnétique. Le concept de CSB est introduit au travers de la diffraction par un cône elliptique semi-infini. L'analyse prend en compte le fait que l'onde CSB incidente ne satisfait pas les conditions de radiation. Un nouveau modèle de la fonction de Green pour un cône elliptique est développé en faisant l'hypothèse qu'il n'y a pas de pertes d'énergie à l'infini. Le modèle numérique inclut la diffusion en champ lointain d'une source CSB sur le coin d'un secteur angulaire avec différents angles d'ouverture.

The paper addresses the combination of the spherical-multipole analysis in sphero-conal coordinates with a uniform complex-source beam (CSB) in order to analyze the scattering of a localized electromagnetic plane wave by any desired part of a perfectly conducting elliptic cone. The concept of uniform CSB is introduced and rigorously applied to the diffraction by a semi-infinite elliptic cone. The analysis takes into account the fact that the incident CSB does not satisfy the radiation condition. A new modal form of the Green's function for the elliptic cone is derived based on the principle that there is no energy loss to infinity. The numerical evaluation includes the scattered far fields of a CSB incident on the corner of a plane angular sector with different opening angles.

Publié le : 2016-08-12

DOI : 10.1016/j.crhy.2016.07.018

Keywords: Complex-source beam, Spherical-multipole analysis, Conical structures, Green's functions, Radiation condition
Mot clés : Faisceau source complexe, Analyse multipôle sphérique, Structure conique, Fonction de Green, Condition de radiation

Affiliations des auteurs :

Ludger Klinkenbusch ¹ ; Hendrik Brüns ¹

¹ Kiel University, Kaiserstr. 2, 24143 Kiel, Germany

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     author = {Ludger Klinkenbusch and Hendrik Br\"uns},
     title = {Combined complex-source beam and spherical-multipole analysis for the electromagnetic probing of conical structures},
     journal = {Comptes Rendus. Physique},
     pages = {960--965},
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Ludger Klinkenbusch; Hendrik Brüns. Combined complex-source beam and spherical-multipole analysis for the electromagnetic probing of conical structures. Comptes Rendus. Physique, Volume 17 (2016) no. 9, pp. 960-965. doi : 10.1016/j.crhy.2016.07.018. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2016.07.018/

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