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Swept‐frequency order‐recursive method of moments for the efficient analysis of resonant microwave circuits
Author(s) -
Naishadham Krishna
Publication year - 2014
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.28036
Subject(s) - computation , method of moments (probability theory) , microwave , interpolation (computer graphics) , algorithm , fast fourier transform , electronic circuit , matrix (chemical analysis) , mathematics , computer science , electronic engineering , topology (electrical circuits) , engineering , telecommunications , electrical engineering , materials science , composite material , statistics , frame (networking) , combinatorics , estimator
ABSTRACT In the analysis of resonant microwave circuits by the method of moments (MoM), we typically subdivide the surface in terms of cell density determined by the smallest wavelength and compute the response at several frequencies using this single mesh. Although interpolation can be used in frequency, this approach typically involves matrix operations of complexity O (kN3) at the k discrete frequencies of MoM computation, and can become prohibitive for large structures. In this article, we develop an order‐recursive method for solving the linear system, wherein the solution at the higher frequencies is iteratively constructed from the LU decomposition at the lower frequencies without having to solve the linear system from scratch at each frequency. The proposed order‐recursive MoM allows for systematic adaptive gridding with the increase in frequency, and results in a large portion of matrix recomputation to be avoided, potentially enabling significant reduction in computation time and memory. © 2014 Wiley Periodicals, Inc. Microwave Opt Technol Lett 56:195–198, 2014