Mode matching technique for calculating the dispersion curve of one-dimensional periodic structures

In this thesis, the rigorous Mode Matching (MM) technique is utilized to find the dispersion curve of the traveling wave in one-dimensional planar periodic structures. The structure consists of a homogenous dielectric substrate backed by a ground plane and infinite number of periodic perfect strip conductors on the top. The thickness of the strips is infinitely small. Such a structure is also known as Strip Grating in frequency selective surface (FSS) applications. The technique is first applied to a shielded microstrip line, and then to the 1-D printed periodic structure. A general formulation for rigorous modeling of shielded microstrip line as well as strip grating structures is introduced. The modeling is based on hybrid transverse electric (TE) and transverse magnetic (TM) mode analysis. After matching the fields at the junction of the air-dielectric, a set of equations on the area of interface is driven. Unlike the conventional MM technique, a simple sub-domain orthogonal set is used to convert the algebraic equations obtained from the boundary conditions into a matrix format