Modeling active electrolocation in weakly electric fish

Abstract : 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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Contributeur : Thomas Boulier <>
Soumis le : mardi 6 mars 2012 - 11:50:11
Dernière modification le : mardi 24 avril 2018 - 17:20:06

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  • HAL Id : hal-00676766, version 1
  • ARXIV : 1203.0938



Habib Ammari, Thomas Boulier, Josselin Garnier. Modeling active electrolocation in weakly electric fish. 34 pages, 17 figures. 2012. 〈hal-00676766〉



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