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Self‐adjoint S ‐parameter sensitivities for lossless homogeneous TLM problems
Author(s) -
Bakr Mohamed H.,
Nikolova Natalia K.,
Basl Peter A. W.
Publication year - 2005
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.590
Subject(s) - lossless compression , sensitivity (control systems) , homogeneous , transformation (genetics) , algorithm , mathematics , node (physics) , computer science , isomorphism (crystallography) , transmission line , classification of discontinuities , transmission (telecommunications) , mathematical optimization , topology (electrical circuits) , mathematical analysis , electronic engineering , physics , data compression , combinatorics , engineering , biochemistry , chemistry , quantum mechanics , crystal structure , gene , crystallography , telecommunications
We present a novel efficient algorithm for the estimation of S ‐parameter sensitivities in homogeneous and lossless transmission line modelling (TLM) problems. Our approach estimates S ‐parameter adjoint‐based sensitivities without actually carrying out any adjoint simulation. By applying a transformation to the original TLM simulation we establish an isomorphism between the original and the adjoint problem. The unique properties of the TLM node in a lossless and homogeneous problem are also exploited in establishing the isomorphism. For an electromagnetic structure with N p ports, only the N p original simulations utilized in evaluating the S ‐parameters are required to estimate their sensitivities as well. Our novel approach is illustrated through estimating S ‐parameter sensitivities with respect to waveguide discontinuities. Good match is obtained between our sensitivity estimates and those calculated using finite differences at the response level. Copyright © 2005 John Wiley & Sons, Ltd.