A Hybrid Mode-Matching Point-Matching Technique for Calculation of Dispersion Curve of Strip Gratings

Abstract

The rigorous mode-matching technique combined with point matching is used in this article to find the dispersion curve of the traveling wave in a 1-D strip grating backed by a grounded homogeneous dielectric substrate. The strips are assumed to be infinitely thin. Unlike regular mode matching, a simple sub-domain orthogonal set is used in order to convert the algebraic equations obtained from boundary conditions into a matrix format. There is a good agreement between the results obtained using the proposed method and what was reported in the previous literature.

Novel frequency selective structures based on a two-dimensional periodic array of vertical microstrip lines

“…The mode-matching method is well known to be an efficient approach for guided-wave problems [71]. However, its hybridization with point-matching technique to solve the strip grating problem results in an over-all inefficient approach [9,10] especially when a large number of modes need to be accurately Ground plane of each PCB is assumed be a perfect electric conductor (PEC). It is seen that this geometry can be divided into many identical unit-cells, as indicated in…”

“…Previously, the mode-matching method was often hybridized with the point-matching method when studying the grating problems [9,10], which forms a relatively inefficient approach.…”

“…with a focus on mainly the leaky wave and surface wave modes. Shielded grating was also studied by a few authors [10,70]. The classification of distinct regions and the use of point-matching technique in Ref.…”

“…The classification of distinct regions and the use of point-matching technique in Ref. [10] forms an inefficient approach, whereby a large matrix needs to be solved. Moreover, the results reported in [10] are incomplete and it is difficult to develop a useful understanding of the shielded grating.…”

“…10 shows the S-parameters of a cascaded junction when φ = 90 o . Since no component of the incident electric field is perpendicular to the strips, strong reflection is observed for the case of TE incidence.…”