Analysis of Electromagnetic Plane Wave Scattering From 2-D Periodic Arrangements of Posts

Abstract

Abstract-In the paper, the analysis of electromagnetic wave scattering from frequency selective surface is presented. The surface is composed of periodically arranged posts. The multimodal scattering matrix of such structure is derived and the transmission and reflection characteristic for the structure with arbitrary plane wave illumination are calculated. The exact full-wave theory based on the mode-matching method is applied to develop an efficient theory to analyze such structures. The validity and accuracy of the approach are verified by comparing the results with those obtained from alternative methods.

Hybrid Technique for the Analysis of Scattering From Periodic Structures Composed of Irregular Objects

“…The procedure of calculating scattering matrix of a periodic layer composed of metalo-dielectric posts with regular cross-section is described by authors thoroughly in [22]. It involves the calculation of isolated T-matrix of single scatterer in the array, which in the case of objects with simple geometry is carried out with the use of analytical methods.…”

“…To avoid the repetition of the whole approach, presented in [22], in the following chapters only the procedure of calculating T-matrix of an isolated scatterer with irregular shape is described.…”

“…In order to determine these parameters the investigated structure is divided into layers (surfaces for a fixed y) which constitute two dimensional (2D) periodic FSSs. Each layer can be described by a multimodal scattering matrix, which relates the incident space-harmonics to the scattered, both reflected and transmitted ones, utilizing authors' technique [22] based on an efficient numerical technique described in [18,23,24]. Assuming the surface periodic in x and z directions the fields consist of set of space harmonics and the z components of the incident and scattered fields can be described as follows:…”

“…Here we calculate the scattering parameters of periodic arrangements of metalodielectric or ferrite scatterers assuming a plane wave excitation of the structure. In order to obtain the scattering parameters we first calculate the multimodal scattering matrices of each layer (each FSS), utilizing authors' numerical technique [22], and then use cascading formulas to obtain the results for the entire structure. The proposed approach utilizes an efficient numerical technique described in [18,23,24], which is based on the transmission matrix (T-matrix) method [25] and uses the lattice sums technique [26].…”

Wip Study of Multiple Metallic Obstacle Scattering

“…Based upon a multiple reflection procedure, WIP is able to characterize structures of arbitrarily shaped patches deposited on multilayer isotropic/anisotropic dielectrics, making it particularly interesting for the study of frequency selective surfaces [11][12][13][14], EBG structures [15], and substrate integrated waveguides [16,17], in the more general field of periodic and almost periodic structures [18][19][20].…”