A Rigorous Theory for Plane Wave Scattering from Periodic Trapezoidal Metal Surfaces.
Abstract
A rigorous method for analyzing plane wave scattering from perfectly conducting periodic surfaces is examined and applied to trapezoidal profiles. Both TE - and TM - polarizations of the incident plane wave are considered. An integral equations for the unknown current distribution in the metal surface is formulated by invoking the extended boundary condition. Upon expressing the current density in terms of its physical optics approximation multiplied by a Fourier series, the integral equation reduces to a linear system of equations. For the case of a piecewise linear surface profile, the coefficient matrix of this system involves closed form expressions only. AS a consequence, the linear system is amenable to efficient computer evaluation, which furnishes the Fourier coefficients of the current distribution. The method is applied to trapezoidal scatterers for which little data is available in the literature, and, by using appropriate limiting procedures, to triangular and rectangular profiles. Scatter fields and surface current densities are calculated. The accuracy of the method, its range and limitations, are investigated and comparisons are made with the results of others. The method has given accurate results for surface groove depths of less than half a wavelength and for surface periods of greater than a wavelength at minimal computational cost. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1979
- Accession Number
- ADA072983
Entities
People
- D. M. Leskiw
- F. Schwering
- G. M. Whitman