Premium
NUMERICAL SOLUTIONS FOR THE SCATTERED FIELDS FROM ROUGH SURFACES USING THE FULL WAVE GENERALIZED TELEGRAPHISTS' EQUATIONS
Author(s) -
BAHAR EZEKIEL,
ZHANG YUZHI
Publication year - 1997
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/(sici)1099-1204(199703)10:2<83::aid-jnm260>3.0.co;2-t
Subject(s) - gravitational singularity , mathematical analysis , scattering , perturbation (astronomy) , numerical analysis , amplitude , surface (topology) , mathematics , field (mathematics) , physics , geometry , optics , quantum mechanics , pure mathematics
A numerical method is used to solve the integro‐differential generalized telegraphists' equations for the total (single and multiple) diffusely scattered radiation wave amplitudes. These equations were derived using a full wave approach. The singularities of the scattering coefficients are removed on integrating by parts. A stationary phase approximation is used to obtain the far fields. The numerical solutions are obtained for one‐dimensional deterministic surfaces. The numerical results for the total (single and multiple) diffusely scattered fields are in good agreement with the earlier single scatter analytical results when the maximum surface slope is less than 30 degrees. The earlier single scatter analytical solutions are based on the assumption that the total field impressed upon a rough surface is associated with the incident field only. This assumption is not made for the evaluation of the numerical results presented here. The earlier analytical results are in total agreement with the small perturbation results when the rough surface height and slopes are of the same order of smallness. © 1997 by John Wiley & Sons, Ltd.