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Published October 26, 2009 | Published
Journal Article Open

Modeling dispersive coupling and losses of localized optical and mechanical modes in optomechanical crystals


Periodically structured materials can sustain both optical and mechanical excitations which are tailored by the geometry. Here we analyze the properties of dispersively coupled planar photonic and phononic crystals: optomechanical crystals. In particular, the properties of co-resonant optical and mechanical cavities in quasi-1D (patterned nanobeam) and quasi-2D (patterned membrane) geometries are studied. It is shown that the mechanical Q and optomechanical coupling in these structures can vary by many orders of magnitude with modest changes in geometry. An intuitive picture is developed based upon a perturbation theory for shifting material boundaries that allows the optomechanical properties to be designed and optimized. Several designs are presented with mechanical frequency ∼ 1-10 GHz, optical Q-factor Q_o > 10^7, motional masses m_(eff) ≈ 100 femtograms, optomechanical coupling length L_(OM) < 5 μm, and clampinig losses that are exponentially suppressed with increasing number of phononic crystal periods (radiation-limited mechanical Q-factor Q_m > 10^7 for total device size less than 30 μm).

Additional Information

© 2009 Optical Society of America. Received 3 Aug 2009; revised 14 Sep 2009; accepted 22 Sep 2009; published 20 Oct 2009. This work was funded through the NSF under EMT grant no. 0622246, MRSEC grant no. DMR-0520565, and CIAN grant no. EEC-0812072 through University of Arizona.

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Published - Eichenfield2009p6437Opt_Express.pdf


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August 19, 2023
October 19, 2023