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Journal articles
Mathematical analysis of conductive and superconductive transmission lines
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
Cited literature [14 references]
https://hal-ensta-paris.archives-ouvertes.fr//hal-01009815
Contributor : Aurélien Arnoux <>
Submitted on : Tuesday, February 14, 2017 - 3:38:46 PM
Last modification on : Thursday, January 14, 2021 - 11:56:04 AM
Long-term archiving on: : Monday, May 15, 2017 - 3:11:05 PM
Contributor : Aurélien Arnoux <>
Submitted on : Tuesday, February 14, 2017 - 3:38:46 PM
Last modification on : Thursday, January 14, 2021 - 11:56:04 AM
Long-term archiving on: : Monday, May 15, 2017 - 3:11:05 PM
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