DocumentCode :
3421451
Title :
A theoretical study of the boundary conditions for parabolic equation
Author :
Douvenot, Remi ; Morlaas, Christophe ; Chabory, Alexandre
Author_Institution :
ENAC, TELECOM/EMA, Toulouse, France
fYear :
2013
fDate :
9-13 Sept. 2013
Firstpage :
684
Lastpage :
687
Abstract :
For many years, parabolic equation simulations have been performed for 2D propagation of electromagnetic waves with a great accuracy. However, considering precisely the ground reflection is still an open problem. A classical solution is to consider at each step a constant impedance that depends on the grazing angle calculated by MUSIC or a ray-launching algorithm. For non-constant impedance conditions, this question is not solved. Numerical instabilities may occur when the reflection coefficient is exactly taken into account. This paper theoretically studies this instability. First, the Green function of the vertical operator used for the split-step computation of the propagation is expressed, taking into account the sampling induced by numerical simulations. From this, the observed numerical instability is related to a radiation condition in the upper medium.
Keywords :
Green´s function methods; electromagnetic wave propagation; parabolic equations; 2D propagation; Green function; MUSIC; constant impedance; electromagnetic waves; grazing angle; ground reflection; numerical instabilities; numerical simulations; parabolic equation simulations; ray-launching algorithm; reflection coefficient; split-step computation; Boundary conditions; Computational modeling; Equations; Green´s function methods; Impedance; Mathematical model; Propagation;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Antennas and Propagation in Wireless Communications (APWC), 2013 IEEE-APS Topical Conference on
Conference_Location :
Torino
Type :
conf
DOI :
10.1109/APWC.2013.6624898
Filename :
6624898
Link To Document :
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