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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 20 — Sep. 28, 2009
  • pp: 18116–18135

General Treatment of Optical Forces and Potentials in Mechanically Variable Photonic Systems

Peter T. Rakich, Miloš A. Popović, and Zheng Wang  »View Author Affiliations

Optics Express, Vol. 17, Issue 20, pp. 18116-18135 (2009)

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We present an analytical formalism for the treatment of the forces and potentials induced by light in mechanically variable photonic systems (or optomechanically variable systems) consisting of linear media. Through energy and photon-number conservation, we show that knowledge of the phase and the amplitude response of an optomechanically variable system, and its dependence on the mechanical coordinate of interest, is sufficient to compute the forces produced by light. This formalism not only offers a simple analytical alternative to computationally intensive Maxwell stress-tensor methods, but also greatly simplifies the analysis of mechanically variable photonic systems driven by multiple external laser sources. Furthermore, we show, through this formalism, that a scalar optical potential can be derived in terms of the phase and amplitude response of an arbitrary optomechanically variable one-port system and in generalized optomechanically variable multi-port systems, provided that their optical response is variable through a single mechanical degree of freedom. With these simplifications, well-established theories of optical filter synthesis could be extended to allow for the synthesis of complex optical force and potential profiles, independent of the construction of the underlying device or its field distribution.

© 2009 Optical Society of America

OCIS Codes
(030.4070) Coherence and statistical optics : Modes
(130.2790) Integrated optics : Guided waves
(130.3120) Integrated optics : Integrated optics devices
(230.5750) Optical devices : Resonators
(350.4238) Other areas of optics : Nanophotonics and photonic crystals
(350.4855) Other areas of optics : Optical tweezers or optical manipulation

ToC Category:
Optical Trapping and Manipulation

Original Manuscript: June 19, 2009
Revised Manuscript: September 8, 2009
Manuscript Accepted: September 10, 2009
Published: September 24, 2009

Peter T. Rakich, Miloš A. Popovic, and Zheng Wang, "General treatment of optical forces and potentials in mechanically variable photonic systems," Opt. Express 17, 18116-18135 (2009)

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