Fabry-Pérot resonators with oscillating mirrors

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Abstract
In this paper we derive analytic expressions of the field on the mirror surfaces of a pendular and misaligned Fabry-Pérot resonator by taking into account longitudinal and transverse optical modes. In particular, we obtain analytic expressions of the spectral components of the power reflected by these devices for oscillating mirrors and modulated laser beams. In addition, we discuss the equations of motion of the mirror holders and analyze the onset of instabilities induced by the radiation pressure, by accounting for transverse optical modes and torsional oscillations of the multiple pendula to which the mirrors are suspended.