Self‐adjoint  S ‐parameter sensitivities for lossless homogeneous TLM problems | Zendy

Bakr Mohamed H. | Zendy; Nikolova Natalia K. | Zendy; Basl Peter A. W. | Zendy

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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.

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