An exact vectorial spectral representation of the wave equation for propagation over a Terrain in 3D
Open Access
- 1 September 2013
- conference paper
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
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.Keywords
This publication has 7 references indexed in Scilit:
- Matrix split-step resolution for propagation based on an exact spectral formulationPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2012
- An exact spectral representation of the wave equation for propagation over a terrainPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2012
- Path loss predictions in the presence of buildings on flat terrain: a 3-D vector parabolic equation approachIEEE Transactions on Antennas and Propagation, 2003
- Radio wave propagation over a nonconstant immittance planeRadio Science, 2001
- Parabolic Equation Methods for Electromagnetic Wave PropagationPublished by Institution of Engineering and Technology (IET) ,2000
- An improved impedance-boundary algorithm for Fourier split-step solutions of the parabolic wave equationIEEE Transactions on Antennas and Propagation, 1996
- Mathematical Foundations for Electromagnetic TheoryPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1994