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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 2 — Jan. 17, 2011
  • pp: 649–659

Modeling of the dynamic transmission properties of chalcogenide ring resonators in the presence of fast and slow nonlinearities

Kazuhiko Ogusu and Yosuke Oda  »View Author Affiliations

Optics Express, Vol. 19, Issue 2, pp. 649-659 (2011)

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We propose a simple iterative method for calculating the dynamic behavior of ring resonators with fast and slow (cumulative) optical nonlinearities when an optical pulse with an arbitrary-shaped envelope is incident into them. In the case of a slow nonlinearity, the nonlinear phase shift and nonlinear absorption are temporally-integrated over the incident pulse. In this paper, we consider two types of single-ring resonators made out of As2Se3 chalcogenide glass with high nonlinearity and investigate the dynamic properties (especially the effect of the cumulative nonlinearity on optical bistability) using known nonlinear material parameters. It is found that the cumulative nonlinearity suppresses overshoot and ringing after switching, decreases the width of the hysteresis loop between the input and output powers, and shifts its center corresponding to the operating point. The obtained results are useful in developing chalcogenide-based bistable optical devices and the proposed approach is applicable to modeling of a variety of nonlinear optical devices.

© 2011 OSA

OCIS Codes
(190.1450) Nonlinear optics : Bistability
(190.4390) Nonlinear optics : Nonlinear optics, integrated optics
(230.1150) Optical devices : All-optical devices
(230.4320) Optical devices : Nonlinear optical devices
(230.5750) Optical devices : Resonators

ToC Category:
Nonlinear Optics

Original Manuscript: September 20, 2010
Revised Manuscript: December 13, 2010
Manuscript Accepted: December 14, 2010
Published: January 5, 2011

Kazuhiko Ogusu and Yosuke Oda, "Modeling of the dynamic transmission properties of chalcogenide ring resonators in the presence of fast and slow nonlinearities," Opt. Express 19, 649-659 (2011)

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