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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 21 — Oct. 16, 2006
  • pp: 9864–9872

Optimization-based calculation of optical nonlinear processes in a micro-resonator

Guy Klemens and Yeshaiahu Fainman  »View Author Affiliations


Optics Express, Vol. 14, Issue 21, pp. 9864-9872 (2006)
http://dx.doi.org/10.1364/OE.14.009864


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Abstract

We present a new method of calculating the performance of nonlinear processes in a resonator. An optimization-based approach, conceptually similar to techniques used in nonlinear circuit analysis, is formulated and used to find the wave magnitudes that satisfy all of the boundary conditions and account for nonlinear optical effects. Unlike previous solution methods, this technique is applicable to any nonlinear process (second-order, third-order, etc.) and multiple coupled resonators, maintains the phase relations between the waves, and is exact. Examples are given for second-order nonlinear processes in a one-dimensional resonator.

© 2006 Optical Society of America

OCIS Codes
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.4360) Nonlinear optics : Nonlinear optics, devices
(230.3990) Optical devices : Micro-optical devices

ToC Category:
Nonlinear Optics

History
Original Manuscript: August 14, 2006
Revised Manuscript: September 25, 2006
Manuscript Accepted: September 25, 2006
Published: October 16, 2006

Citation
Guy Klemens and Yeshaiahu Fainman, "Optimization-based calculation of optical nonlinear processes in a micro-resonator," Opt. Express 14, 9864-9872 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-21-9864


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