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Lagrangian approach for analysis of radiation pressure induced parametric instability in micro-resonators

Bahrampour, A. R ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. DOI: 10.1016/j.physleta.2008.08.046
  3. Publisher: Elsevier , 2008
  4. Abstract:
  5. We introduce a new scheme for determining radiation pressure coupling to microresonator devices. It is shown that for the input pump powers there exists a threshold value for instability behavior. Radiation pressure can couple mechanical modes of a cavity to it's optical modes, leading to parametric oscillation instability. Here we present an approximate analysis of such nonlinear effect with Hamilton's least action principle. Our Lagrangian includes no interaction term, but interaction between optical and mechanical modes has been taken into account through integration limit. © 2008 Elsevier B.V. All rights reserved
  6. Keywords:
  7. Lagrange multipliers ; Pressure ; Resonators ; Stability ; Approximate analysis ; Interaction term ; La-grangian approaches ; Least action principle ; Nonlinear effect ; Parametric instabilities ; Parametric oscillations ; Radiation pressure ; Vibrations (mechanical)
  8. Source: Physics Letters, Section A: General, Atomic and Solid State Physics ; Volume 372, Issue 41 , 2008 , Pages 6298-6300 ; 03759601 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0375960108012541#!