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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 22 — Oct. 26, 2009
  • pp: 20078–20098

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

Matt Eichenfield, Jasper Chan, Amir H. Safavi-Naeini, Kerry J. Vahala, and Oskar Painter  »View Author Affiliations

Optics Express, Vol. 17, Issue 22, pp. 20078-20098 (2009)

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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 Qo >107, motional masses meff≈100 femtograms, optomechanical coupling length LOM<5 µm, and clampinig losses that are exponentially suppressed with increasing number of phononic crystal periods (radiation-limited mechanical Q-factor Qm >107 for total device size less than 30 µm).

© 2009 Optical Society of America

OCIS Codes
(230.5750) Optical devices : Resonators
(230.4685) Optical devices : Optical microelectromechanical devices
(350.4855) Other areas of optics : Optical tweezers or optical manipulation
(230.5298) Optical devices : Photonic crystals

ToC Category:
Photonic Crystals

Original Manuscript: August 3, 2009
Revised Manuscript: September 14, 2009
Manuscript Accepted: September 22, 2009
Published: October 20, 2009

Matt Eichenfield, Jasper Chan, Amir H. Safavi-Naeini, Kerry J. Vahala, and Oskar Painter, "Modeling dispersive coupling and losses of localized optical and mechanical modes in optomechanical crystals," Opt. Express 17, 20078-20098 (2009)

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