Conference papers
An exact spectral representation of the wave equation for propagation over a terrain
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.
https://hal-enac.archives-ouvertes.fr/hal-01022309
Contributor : Laurence Porte <>
Submitted on : Monday, September 22, 2014 - 4:40:05 PM
Last modification on : Wednesday, July 24, 2019 - 11:50:02 PM
Document(s) archivé(s) le : Tuesday, December 23, 2014 - 10:21:28 AM
Contributor : Laurence Porte <>
Submitted on : Monday, September 22, 2014 - 4:40:05 PM
Last modification on : Wednesday, July 24, 2019 - 11:50:02 PM
Document(s) archivé(s) le : Tuesday, December 23, 2014 - 10:21:28 AM
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