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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 13, Iss. 13 — Jun. 27, 2005
  • pp: 5127–5135

Bistability threshold inside hysteresis loop of nonlinear fiber Bragg gratings

Yosia, Shum Ping, and Lu Chao  »View Author Affiliations

Optics Express, Vol. 13, Issue 13, pp. 5127-5135 (2005)

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We show the Cross Phase Modulation (XPM) effect between CW probe that operates in bistability region and strong Gaussian pump in a Fiber Bragg Grating (FBG) by Implicit 4th Order Runge-Kutta Method. The XPM effect results in three unique nonlinear switching behaviors of the probe transmission depending on the pump peak intensity and its Full Width Half Maximum (FWHM) value. From this observation, we offer the FBG three potential nonlinear switching applications in all-optical signal processing domain as: a step-up all-optical switching, an all-optical inverter, and an all-optical limiter. The bistability threshold that determines the nonlinear switching behaviors of probe transmission after Gaussian pump injection is defined numerically and shown to be equivalent to the unstable state inside hysteresis loop.

© 2005 Optical Society of America

OCIS Codes
(050.2770) Diffraction and gratings : Gratings
(060.2310) Fiber optics and optical communications : Fiber optics
(190.1450) Nonlinear optics : Bistability
(190.4360) Nonlinear optics : Nonlinear optics, devices
(190.4370) Nonlinear optics : Nonlinear optics, fibers
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(230.1150) Optical devices : All-optical devices

ToC Category:
Research Papers

Original Manuscript: May 18, 2005
Revised Manuscript: June 17, 2005
Published: June 27, 2005

Yosia Yosia, Shum Ping, and Lu Chao, "Bistability threshold inside hysteresis loop of nonlinear fiber Bragg gratings," Opt. Express 13, 5127-5135 (2005)

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