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Journal Articles SIAM Journal on Applied Mathematics Year : 2000

Mathematical analysis of conductive and superconductive transmission lines

Karim Ramdani

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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Dates and versions

hal-01009815 , version 1 (14-02-2017)

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Anne-Sophie Bonnet-Ben Dhia, Karim Ramdani. Mathematical analysis of conductive and superconductive transmission lines. SIAM Journal on Applied Mathematics, 2000, 60 (6), pp.2087-2113. ⟨10.1137/S0036139999352420⟩. ⟨hal-01009815⟩
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