An exact spectral representation of the wave equation for propagation over a terrain

Alexandre Chabory 1 Christophe Morlaas-Courties 1 Rémi Douvenot 1 Bernard Souny 1
1 TELECOM - ENAC - Laboratoire de Télécommunications
Abstract : An exact spectral representation of the wave equation above a dielectric ground is proposed. The formulation is based on the diagonalisation of the vertical operator, takes into account the angle-dependance of the reflexion coefficient, and does not include any paraxial approximation. The expressions of the spectrum comprise two parts : a continuous part and a discrete part. The latter corresponds to a possible surface wave. The use of this result in split-step algorithms to simulate wave propagation requires a discretization of the spectrum. To render the discretization consistent, an alternative discrete spectral representation is proposed that intrinsically includes the truncation of the computation domain at a finite high.
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Communication dans un congrès
ICEAA 2012, International Conference on Electromagnetics in Advanced Applications, Sep 2012, Cape Town, South Africa. pp 717-720, 2012, 〈10.1109/ICEAA.2012.6328722〉
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https://hal-enac.archives-ouvertes.fr/hal-01022309
Contributeur : Laurence Porte <>
Soumis le : lundi 22 septembre 2014 - 16:40:05
Dernière modification le : mardi 30 janvier 2018 - 18:24:02
Document(s) archivé(s) le : mardi 23 décembre 2014 - 10:21:28

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TELECOM | TELECOM-EMA | ENAC

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Alexandre Chabory, Christophe Morlaas-Courties, Rémi Douvenot, Bernard Souny. An exact spectral representation of the wave equation for propagation over a terrain. ICEAA 2012, International Conference on Electromagnetics in Advanced Applications, Sep 2012, Cape Town, South Africa. pp 717-720, 2012, 〈10.1109/ICEAA.2012.6328722〉. 〈hal-01022309〉

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