Scattering from Periodic Surfaces with Sinusoidal Height Profile - A Theoretical Approach - Part I. Theory.
Abstract
A theory scattering by periodic metal surfaces is presented which utilizes the physical optics approximation to determine the current distribution in the metal surface in first order, but modifies this approximate distribution by multiplication with a Fourier series whose fundamental period is that of the surface profile (Floquet's theorem). The coefficients of the Fourier series are determined from the extended boundary condition that the field radiated by the current distribution into the lower (shielded) half-space must cancel the primary plane wave in this space range. The theory reduces the scatter problem to the familiar task of solving a linear system. For certain basic topics of surface profiles, including the sinusoidal profile considered here, the coefficients of the linear system are obtained as closed form expressions in well-known functions (Bessel) functions for sinusodial profiles and exponential functions for piece-wise linear profiles). The theory is thus amenable to efficient computer evaluation.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1979
- Accession Number
- ADA072984
Entities
People
- F. Schwering
- G. M. Whitman