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| HAL : hal-00676766, version 1 |
| arXiv : 1203.0938 |
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| Modeling active electrolocation in weakly electric fish |
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Habib Ammari 1Thomas Boulier 1 |
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| (05/03/2012) |
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| In this paper, we provide a mathematical model for the electrolocation in weakly electric fishes. We first investigate the forward complex conductivity problem and derive the approximate boundary conditions on the skin of the fish. Then we provide a dipole approximation for small targets away from the fish. Based on this approximation, we obtain a non-iterative location search algorithm using multi-frequency measurements. We present numerical experiments to illustrate the performance and the stability of the proposed multi-frequency location search algorithm. Finally, in the case of disk- and ellipse-shaped targets, we provide a method to reconstruct separately the conductivity, the permittivity, and the size of the targets from multi-frequency measurements. |
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| 1 : | Département de Mathématiques et Applications (DMA) |
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CNRS : UMR8553 – Ecole normale supérieure de Paris - ENS Paris |
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| 2 : | Laboratoire de Probabilités et Modèles Aléatoires (LPMA) |
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CNRS : UMR7599 – Université Pierre et Marie Curie [UPMC] - Paris VI – Université Paris VII - Paris Diderot |
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| Domaine | : | Mathématiques/Equations aux dérivées partielles Mathématiques/Analyse numérique Physique/Physique mathématique Mathématiques/Physique mathématique Physique/Physique/Biophysique |
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| multi-frequency MUSIC algorithm – weakly electric fish – location search algorithm – approximate boundary conditions |
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| Lien vers le texte intégral : |
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| http://fr.arXiv.org/abs/1203.0938 |
| hal-00676766, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00676766 | |
| oai:hal.archives-ouvertes.fr:hal-00676766 | |
| Contributeur : Thomas Boulier | |
| Soumis le : Mardi 6 Mars 2012, 11:50:11 | |
| Dernière modification le : Mardi 6 Mars 2012, 12:32:59 | |
