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SCIENTIA SINICA Physica, Mechanica & Astronomica, Volume 45, Issue 4: 44201(2015) https://doi.org/10.1360/SSPMA2014-00422

The cavity modes and the adiabatic theory in coupled cavity optomechanical systems

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  • AcceptedFeb 2, 2015
  • PublishedMar 13, 2015

Abstract

Following a direct physical picture, this paper presents a simple but general study on the coupled cavity optomechanical system as well as some other similar systems based on the adiabatic approximation theory. The basic theoretical model and the relevant mathematical method are provided in this paper. The cavity optomechanics is a very quickly developing field and its basic theoretical model is an essential starting point to study the physical properties of the system. The traditional theoretical method to derive the model is based on the Maxwell equations with a moving cavity boundary condition. This method involves a complicated calculation procedure which lacks clear physical picture and misses general connections to other similar systems. This paper adopts the adiabatic theory and the transfer matrix method instead to investigate the coupled Fabry-Pérot cavities with the membrane-in-the-middle scheme, and gives a universal calculation on the cavity- mode frequency and the transmission rate modulating by the collective motion of the membranes. The method not only leads to the same model as that derived from Maxwell equations, but also presents a more general physical background to the study of cavity-coupled mechanical systems.


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