Analysis and applications of multiple coupled line structures in an inhomogeneous medium Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/3x816q13c

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  • The general expressions for finding the network functions, e.g., the immittance and the scattering parameters, of a general, uniformly coupled n-line structure in an inhomogeneous medium are derived in terms of the normal mode parameters of the system. These are used to compute or to derive the explicit expressions for the elements of the immittance matrix in terms of normal mode parameters. The scattering parameters of a general non-symmetrical directional coupler with arbitrary terminations are derived in terms of the known scattering parameters with a specified set of terminations such as characteristic non-mode converting terminations. The formulation is quite general and can be applied to various coupled guided wave systems, including coupled microstrip lines, slot lines, comb lines, dielectric waveguides and various other uniformly coupled transmission systems. The results obtained are used to present the procedure to determine the optimum terminations for directional couplers and sensitivity of various multiports, including couplers, to changes in terminations. It is shown that the coupler performance can be optimized in terms of the terminating impedances. The analysis and design procedure for both symmetrical and nonsymmetrical four-port coupled structures consisting of the symmetrical three lines in an inhomogeneous medium such as microstrips are presented. Tables and charts for the design of three-line structure are based on the closed form expressions for the immittance parameters. The analysis and design procedure for open-circuited interdigital multiple coupled microstrip line structures for applications as wideband DC blocks and filters are also presented. As in the case of the other microstrip structures, the initial design is based on the TEM assumption and the final geometry is then determined by the exact computation of the frequency response of the two ports. For larger numbers of lines, the design is based on the equivalent even- and odd-mode parameters of the n-line system. For this case, the TEM design equations, derived in terms of even- and odd-mode impedances of a pair of lines, can be translated into a physical configuration by using published results on coupled lines.
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