Membrane-in-the-middle optomechanical system and structural frequencies

We consider a one-dimensional membrane-in-the-middle model for a cavity that consists of two fixed, perfect mirrors and a mobile dielectric membrane between them that has a constant electric susceptibility. We present a sequence of exact cavity angular frequencies that we call structural angular fre...

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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2024-09, Vol.57 (34), p.345301
Hauptverfasser: Pedro Lara, Luis, Weder, Ricardo, Octavio Castaños-Cervantes, Luis
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Weder, Ricardo
Octavio Castaños-Cervantes, Luis
description We consider a one-dimensional membrane-in-the-middle model for a cavity that consists of two fixed, perfect mirrors and a mobile dielectric membrane between them that has a constant electric susceptibility. We present a sequence of exact cavity angular frequencies that we call structural angular frequencies and that have the remarkable property that they are independent of the position of the membrane inside the cavity. Furthermore, the case of a thin membrane is considered and simple, approximate formulae for the angular frequencies and for the modes of the cavity are obtained. Finally, the cavity electromagnetic potential is numerically calculated and it is found that the potential is accurately described by a multiple scales solution.
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subjects effects of moving material media on light
electromagnetic fields
multiple scales
optomechanics
title Membrane-in-the-middle optomechanical system and structural frequencies
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