An exact vectorial spectral representation of the wave equation for propagation over a Terrain in 3D

Abstract : A spectral representation for the electromagntic fields is developed in 3D in cylindrical coordinates for propagation over a Terrain. The result is obtained for a planar terrain and for an homogeneous atmosphere and ground. The spectral representation is related with both the vertical and azimuthal variables. For the vertical variable, this spectral representation contains a discrete component associated with a possible surface wave, and a continuous component. For the azimuthal variable, the spectral representation amounts to a Fourier series.
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Alexandre Chabory, Christophe Morlaas, Rémi Douvenot. An exact vectorial spectral representation of the wave equation for propagation over a Terrain in 3D. APWC 2013, IEEE-APS Topical Conference on Antennas and Propagation in Wireless Communications, Sep 2013, Torino, Italy. pp 907-910. ⟨hal-01073343⟩

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