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We consider the radiative trapping and cooling of a partially reflecting mirror suspended inside an optical cavity, generalizing the case of a perfectly reflecting mirror previously considered M. Bhattacharya and P. Meystre, Phys. Rev. Lett. 99, 073601 (2007). This configuration was recently used in an experiment to cool a nanometers-thick dielectric membrane J. D. Thompson et al., e-print arXiv:0707.1724v2. The self-consistent cavity field modes of this system depend strongly on the position of the middle mirror, leading to important qualitative differences in the radiation pressure effects: in one case, the situation is similar to that of a perfectly reflecting middle mirror, with only minor quantitative modifications. In addition, we also identify a range of mirror positions for which the radiation-mirror-coupling becomes purely dispersive and the back-action effects that usually lead to cooling are absent, although the mirror can still be optically trapped. The existence of these two regimes leads us to propose a bichromatic scheme that optimizes the cooling and trapping of partially reflective mirrors.
Bhattacharya et al. (Fri,) studied this question.