Analysis of frequency selective surface with arbitrarily shaped element by equivalent circuit model

Abstract

SUMMARYThis paper presents an analysis of the characteristics of the frequency selective surface (FSS) by means of equivalent circuit models. In order to determine the circuit element parameters of the FSS with resonant elements of arbitrary shape, the eigenvalue problem of the matrix equation is solved and the Q curve of each resonance is derived from the frequency dependence of the reactance obtained from the characteristic current distributions at resonance. By equating this Q curve with that for the equivalent circuit, the circuit parameters are derived. As an example of analysis by the present method, the circuit element parameters of patch-type resonant elements designed by us using the genetic algorithm (GA) are derived. The characteristics of the dielectric-loaded FSS for the C/Ka band are analyzed by means of the equivalent circuit. The usefulness of the proposed method is verified by comparison of the frequency characteristics obtained by the method of moments and by the equivalent circuit.

Wideband analytical equivalent circuit for one-dimensional periodic stacked arrays

“…Many equivalent-circuit proposals found in the literature do not give analytical expressions for the lumped elements, but instead their values are usually extracted from intensive external full-wave simulations. In other instances [17,22,[31][32][33][34] some analytical formulas are provided, but they have a limited range of applications that typically does not extend beyond the onset of the first grating lobe (diffraction regime) or are valid only in the subwavelength regime. Further extension into the diffraction regime requires more sophisticated models, usually requiring that some of the circuit parameters are frequency dependent.…”

Stretchable three-dimensional tunable frequency selective fabric of U-shaped units and its electromagnetic response mechanism

“…Its resonant frequency is related to L and C , 37–39 as shown in Equation (2). It is difficult to calculate the equivalent parameters L and C by using the empirical formula, which is only applicable to the simple symmetrical graph 40–44 where L is the equivalent inductance, C is the equivalent capacitance, and f is the resonant frequency of the 3D TFSF.…”

“…Its resonant frequency is related to L and C, [37][38][39] as shown in Equation ( 2). It is difficult to calculate the equivalent parameters L and C by using the empirical formula, which is only applicable to the simple symmetrical graph [40][41][42][43][44]…”

Inductive Frequency Selective Surface: An Application for Dichroic Sub-Reflectors

“…It uses a quasistatic approximation, that is, it considers a uniform distribution of the E-and H-Fields at each point of the surface. This method takes less computational resources than others, and gives a good approximation to real results, even though the FSS is embedded in a stratified medium [4]. The drawbacks of this method are its accuracy, it cannot describe the operation of the FSS at the grating lobe region, and it cannot be used in certain structures like meandered dipole, quadrifilar spiral, and genetically optimized shapes [7].…”