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La force de Casimir entre deux miroirs métalliques à température non nulle

Abstract : We study the Casimir force between two metallic mirrors at non-zero temperature. We develop theoretical methods for a high precision evaluation of the force in order to compare with recent measurements. From the theory of optical networks, we characterise the scattering of the electromagnetic vacuum fluctuations on a Fabry-Perot cavity and we calculate the Casimir force as the difference of radiation pressures exerted by these fluctuations inside and outside the cavity. The effect of imperfect reflection of the mirrors is considered by studying the optical response of dielectric mirrors and metallic mirrors. We detail the role of causality, stability and high frequency transparency properties of scattering amplitudes. We calculate also the Casimir force at room temperature evaluating the effect induced by the thermal fluctuations of the field. A simultaneous calculation of thermal corrections and the effect of imperfect reflection shows that both effects are correlated. This correlation has to be considered in a high precision evaluation. In the framework of our formulation, we explain the problem of the evaluation of the force between dissipative mirrors at non-zero temperature, subject of a polemical debate. Finally, we analyse problems of geometry and mirrors surface roughness connected to the experiments. In particular for the problem of surface roughness, we show for perfect mirrors that the proximity force approximation is not always valid. We show the importance of sensibility effects related to the roughness spectrum.
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Contributor : Cyriaque Genet <>
Submitted on : Friday, September 27, 2002 - 5:25:11 PM
Last modification on : Monday, January 4, 2021 - 4:40:07 PM
Long-term archiving on: : Friday, April 2, 2010 - 6:27:54 PM


  • HAL Id : tel-00001749, version 1


Cyriaque Genet. La force de Casimir entre deux miroirs métalliques à température non nulle. Physique Atomique [physics.atom-ph]. Université Pierre et Marie Curie - Paris VI, 2002. Français. ⟨tel-00001749⟩



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