Dynamics and stability of an optically levitated mirror
Date
2020-05-27
Authors
Lecamwasam, Ruvindha
Graham, Alister
Ma, Jinyong
Sripathy, Kabilan
Guccione, Giovanni
Qin, Jiayi
Campbell, Geoff
Buchler, Ben
Hope, Joseph
Lam, Ping Koy
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American Physical Society
Abstract
We analyse the dynamics of a one-dimensional vertical Fabry-Perot cavity, where the upper mirror levitates due to intra-cavity radiation pressure force. A perturbative approach is used based around separation of timescales, which allows us to calculate the physical quantities of interest. Due to the dynamics of the cavity field, we find that the upper mirror's motion will always be unstable for levitation performed using only a single laser. Stability can be achieved for two lasers, where one provides the trapping potential and the other a damping effect, and we locate and characterise all parameter regimes where this can occur. Finally we analyse photothermal effects due to heating of the mirror substrate. We show that this can stabilise the system, even with only a single input laser, if it acts to increase the optical path length of the cavity. This work serves as a foundation for understanding how levitated optical cavity schemes can be used as stable metrological platforms.
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Physical Review A: Atomic, Molecular and Optical Physics
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Journal article
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Open Access
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