Abstract

The analysis of infinite periodic planar structures with apertures along some axis is of great importance due to the frequency-selective and polarization-selective properties exhibited by them. The properties of these surfaces are dependent on the shape of the aperture and the mutual coupling with nearby elements in the array. We extend our solution for the scattering of waves from a strip grating to be applicable in the 2-D case. The electric and magnetic field distributions in the plane of the scattering surface are expanded in a modified Fourier series (FS), and an infinite dimensional system of linear equations is derived by mapping the FS coefficients of the electric and magnetic fields onto components of a vector and representing each step of the Tsao-Mittra spectral iteration process as a matrix multiplication. This system of equations is equivalent to that obtained using the moment method and is solved using standard techniques. Unlike various solution procedures which are applicable only in the case of a specific-shaped aperture, our procedure is applicable and produces accurate results in the case of many different frequency-selective surfaces. Scattering from rectangular strip (wire) meshes, circular patches, and narrow slots is considered. Comparison of results with those obtained using other methods support the validity of the solution procedure.

© 1988 Optical Society of America