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Comptes Rendus Mathématique
Volume 352, n° 11
pages 917-921 (novembre 2014)
Doi : 10.1016/j.crma.2014.09.009
Received : 1 July 2014 ;  accepted : 12 September 2014
Localization of extended current source with finite frequencies
Localisation de sources étendues à partir d'un nombre fini de fréquences

Abdul Wahab a , Amer Rasheed a , Rab Nawaz b , Saman Anjum a
a COMSATS Institute of Information Technology, G. T. Road, 47040, Wah Cantt., Pakistan 
b COMSATS Institute of Information Technology, Park Road, Chak Shahzad, 44000, Islamabad, Pakistan 


A phase conjugation algorithm for localizing the spatial support of an extended radiating current source from boundary measurements of the electric field over a finite set of frequencies is presented. An imaging function using a full frequency bandwidth is established and analyzed. It is subsequently adopted to the case of finite frequency measurements. Finally, the algorithm is blended with  -regularization in order to deal with the artifacts associated with finite frequency data.

The full text of this article is available in PDF format.

Dans cette note, nous présentons un algorithme de conjugaison de phase pour la reconstruction d'une source étendue à partir de mesures de champ électrique obtenues pour un ensemble fini de fréquences. Nous commençons par introduire et analyser une fonctionnelle d'imagerie à partir de mesures obtenues pour un intervalle de fréquences. Ensuite, nous proposons une régularisation   d'une telle fonctionnelle d'imagerie afin d'éliminer les artefacts dus à l'aspect discret et limité des fréquences utilisées.

The full text of this article is available in PDF format.

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