Title :
Analysis of the mode coupling phenomena in multilayer waveguiding structures
Author :
Hanson, G.W. ; Yakovlev, A.B.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Wisconsin Univ., Milwaukee, WI, USA
Abstract :
Catastrophe theory is applied for the rigorous analysis of the mode coupling phenomena in lossy grounded slabs with anisotropic chirality and microstrip-like transmission lines. It is shown that an isolated nondegenerate critical point or a Morse critical point (MCP) exists in the vicinity of the mode coupling region. A Taylor series expansion in the neighborhood of the MCP reproduces dispersion curves with good accuracy. The type of MCP defines the structural stability of a system. The introduction of additional small perturbations changes the coordinates of the MCPs, but the type of nondegenerate critical points and their qualitative local structures remain the same.
Keywords :
catastrophe theory; chirowaveguides; coupled mode analysis; critical points; dispersion (wave); microstrip lines; series (mathematics); waveguide theory; Morse critical point; Taylor series expansion; anisotropic chirality; catastrophe theory; dispersion curves; isolated nondegenerate critical point; local structures; lossy grounded slabs; microstrip-like transmission lines; mode coupling; multilayer waveguiding structures; nondegenerate critical points; rigorous analysis; small perturbations; structural stability; Anisotropic magnetoresistance; Couplings; Geometry; Green´s function methods; Integral equations; Microstrip; Nonhomogeneous media; Power transmission lines; Slabs; Strips;
Conference_Titel :
Antennas and Propagation Society International Symposium, 1996. AP-S. Digest
Conference_Location :
Baltimore, MD, USA
Print_ISBN :
0-7803-3216-4
DOI :
10.1109/APS.1996.549602
