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Theses

Supratransmission et bistabilité nonlinéaire dans
les milieux à bandes interdites photoniques et électroniques

Abstract : We study wave scattering in different nonlinear media possessing a natural forbidden band gap. In particular, we show the existence of a bistable behavior in media governed by the sine-Gordon equation (short pendula chain, Josephson junction array, quantum Hall bilayer), or the nonlinear Schroedinger equation (Kerr and Bragg media), in discrete and continous models. These different media are submitted to periodic boundary conditions with a frequency in the forbidden band gap and an amplitude that determines their stability states. Indeed, for a sufficient amplitude (supratransmission), the medium switches from reflector to transmittor, hence allowing the output signal to jump from evanescent to large values. We give a complete analytical description of the bistability that allows to understand the different stationnary states observed and to predict the switch of one state to the other.
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https://tel.archives-ouvertes.fr/tel-00180987
Contributor : Francoise Duceau <>
Submitted on : Monday, October 22, 2007 - 4:23:57 PM
Last modification on : Tuesday, November 19, 2019 - 9:08:02 PM
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  • HAL Id : tel-00180987, version 1

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D. Chevriaux. Supratransmission et bistabilité nonlinéaire dans
les milieux à bandes interdites photoniques et électroniques. Physique [physics]. Université Montpellier II - Sciences et Techniques du Languedoc, 2007. Français. ⟨tel-00180987⟩

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