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A general perturbational approach for synthesizing the Riccati‐type nonuniform transmission lines with arbitrarily specified reflection properties
Author(s) -
Park Eui Joon
Publication year - 2003
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.10969
Subject(s) - inversion (geology) , electric power transmission , transformer , transmission line , nonlinear system , microwave , mathematics , riccati equation , mathematical analysis , physics , computer science , engineering , voltage , telecommunications , electrical engineering , quantum mechanics , paleontology , structural basin , biology , differential equation
An adaptive nonlinear inversion method based on the Riccati equation in the dispersive inverse‐scattering problem is presented for synthesizing both single and coupled nonuniform transmission lines (NTLs) with arbitrary lobe‐like backward responses. In this method, the specified responses of those lines are first shaped by an optimum perturbation of inherent null points in the electrical‐length domain, and then sampled to straightforwardly determine the corresponding modal impedance profiles, hence avoiding the step‐by‐step segmentation process and overall optimization routines that plague most inversion schemes supporting non‐TEM modes. Some transformers and filters with controlled responses are illustrated for generality. © 2003 Wiley Periodicals, Inc. Microwave Opt Technol Lett 38: 52–56, 2003