Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2011-04-12
Physics
Condensed Matter
Other Condensed Matter
19 pages, 12 figures
Scientific paper
The dynamical behavior of a nonlinear micromechanical resonator acting as one of the mirrors in an optical resonance cavity is investigated. The mechanical motion is coupled to the optical power circulating inside the cavity both directly through the radiation pressure and indirectly through heating that gives rise to a frequency shift in the mechanical resonance and to thermal deformation. The the energy stored in the optical cavity is assumed to follow the mirror displacement without any lag. In contrast, a finite thermal relaxation rate introduces retardation effects into the mechanical equation of motion through temperature dependent terms. Using standard averaging and harmonic balance techniques, slow envelope evolution equations are derived. In the limit of small mechanical vibrations, the micromechanical system can be described as a nonlinear Duffing-like oscillator. Coupling to the optical cavity is shown to introduce corrections to the linear dissipation, the nonlinear dissipation and the nonlinear elastic constants of the micromechanical mirror. The magnitude and the sign of these corrections depend on the exact position of the mirror and on the optical power incident on the cavity. In particular, the effective linear dissipation can become negative, causing self-sustained mechanical oscillations to occur. The full slow envelope evolution equations are used to derive the amplitudes and the corresponding oscillation frequencies of different limit cycles, and the bifurcation behavior is analyzed in detail. Finally, the theoretical results are compared to numerical simulations using realistic values of different physical parameters, showing a very good correspondence.
Buks Eyal
Gottlieb O.
Zaitsev Stav
No associations
LandOfFree
Nonlinear dynamics of a microelectromechanical mirror in an optical resonance cavity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Nonlinear dynamics of a microelectromechanical mirror in an optical resonance cavity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonlinear dynamics of a microelectromechanical mirror in an optical resonance cavity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-731078