Analysis of Frequency Selective Surfaces on Periodic Substrates Using Entire Domain Basis Functions

Abstract

The paper presents an efficient procedure to utilize the existing method of moments/boundary integral-resonant mode expansion approach for the analysis of frequency selective surfaces printed on periodic and inhomogeneous substrates. The Green's function matrix of the structure is obtained using a multiconductor transmission line model. The resulting series equations are solved by using the periodic method of moments with entire domain functions as both basis and test functions. The required entire domain functions are extracted using boundary integral-resonant mode expansion. The Fourier coefficients of the basis functions are evaluated from the coupling integrals by applying a coordinate transformation. Some examples are analyzed and compared to measurement data. To illustrate the excellent convergence of the method, a comparison between using entire domain and sub-domain functions is made. It is shown that by using the proposed approach not only the number of required basis functions reduces but also lower truncation orders in the Fourier expansions need to be considered. This leads to a drastic reduction of the computation time.Index Terms-Boundary integral resonant mode expansion, entire domain basis functions, frequency selective surfaces, method of moments, multiconductor transmission lines method, periodic structures, spectral domain analysis.

Optimization of metamaterial structures for terahertz and microwave sensor applications

“…The current distribution on the metallic patches can be expanded by some basis functions which are rooftop basis functions in this article . Unknown coefficients in the expansion series are determined using the boundary condition of the problem, which result to the following matrix equation in the case of perfect conductor : …”

Analysis of finite frequency selective surfaces backed by dielectric substrate using sub-entire-domain basis function method

“…Wang et al (2009Wang et al ( , 2014 extend the method from free space to planar finite periodic microstrip patch array with a substrate. In actual problems, the FSS is usually composed of periodic conductive patches in/on the layered dielectric substrate or aperture cells on a conductive screen (Kristensson et al, 2002;Yahaghi et al, 2010). The frequency selective properties of the FSS vary with the thickness, permittivity and permeability of the dielectric substrate.…”