Premium
Built‐up terrain wave propagation by Fourier split‐step parabolic wave equation‐ray optical techniques
Author(s) -
Eibert Thomas F.
Publication year - 2003
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/2002rs002743
Subject(s) - terrain , fourier transform , diffraction , field (mathematics) , computation , scattering , wave propagation , wave equation , optics , computational physics , plane wave , physics , computer science , mathematical analysis , algorithm , mathematics , pure mathematics , ecology , biology
Fourier split‐step (FSS) solutions of the parabolic wave equation (PWE) represent wave fields in terms of plane wave decompositions. However, those field solutions are usually only valid in the air space above built‐up terrain, whereas field predictions for modern wireless systems often require knowledge of the fields on a street level. Since FSS PWE solutions with large step sizes are not applicable for field computations between irregular scattering obstacles such as buildings, this problem is overcome by a two‐step approach combining the FSS solution of the PWE with ray optical techniques to compute the fields at ground level in wooded and urbanized areas. To account for the great variety of propagation effects in a statistical sense, direct rays, reflected rays, diffracted rays and attenuated rays at typical receiver locations are included into the considerations. Comparisons to a wide variety of measured data show that this two‐step approach produces better results than state of the art semiempirical field prediction techniques.