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Title : |
Mathematical analysis of conductive and superconductive transmission lines |
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Year : |
2000 |
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Type : |
paper in peer-reviewed journal |
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Authors : |
A.-S. Bonnet-BenDhia, K. Ramdani |
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Abstract : |
This paper is concerned with a mathematical study of guided propagation in the microstrip transmission lines used in microelectronics.
In the first part, the case of a zero-thickness perfectly conducting strip is considered. Using a regularized formulation of Maxwell's equations, it is shown that finding guided modes amounts to the spectral analysis of a noncompact family of self-adjoint operators. The existence of guided modes is then proved thanks to the min-max principle.
In the second part, we deal with the case of a zero-thickness superconducting strip. An asymptotic model derived from London's equation is studied and the existence of guided modes is deduced from the case of the perfectly conducting strip.
Copyright © 2000 Society for Industrial and Applied Mathematics |
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Themes : |
Wave guides
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Reference : |
SIAM Journal on Applied Mathematics - vol. 60(6) (pp 2087-2113 ) |
