OSA's Digital Library

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)
http://dx.doi.org/10.1364/OPEX.13.005127


View Full Text Article

Enhanced HTML    Acrobat PDF (141 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

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

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

Citation
Yosia Yosia, Shum Ping, and Lu Chao, "Bistability threshold inside hysteresis loop of nonlinear fiber Bragg gratings," Opt. Express 13, 5127-5135 (2005)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-13-13-5127


Sort:  Journal  |  Reset  

References

  1. Pochi Yeh, Optical Waves in Layered Media, (Wiley, New York, 1988).
  2. C. M. de Sterke and J. E. Sipe, �??Gap Solitons,�?? Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1994).
  3. B. J. Eggleton, R. E. Slusher, C. M. de Sterke, P. A. Krug and J. E. Sipe, �??Bragg Grating Solitons,�?? Phys. Lett 76, 1627-30 (1996) [CrossRef]
  4. H. G. Winful, J. H. Marburger, and E. Garmire, "Theory of bistability in nonlinear distributed feedback structures," Appl. Phys. Lett. 35, 379-381 (1979). [CrossRef]
  5. Hojoon Lee, and Govind P. Agrawal, �??Nonlinear Switching of Optical Pulses in Fiber Bragg Gratings,�?? IEEE J. Quantum Electron. 39 (2003).
  6. C. M. de Sterke, �??Optical Push Broom,�?? Opt. Lett. 17, 914-916 (1992). [CrossRef] [PubMed]
  7. Neil G. R. Broderick, Domino Taverner, David J. Richardson, and Morten Ibsen, �??Cross Phase Modulation Effects in nonlinear Fiber Bragg Gratings,�?? J. Opt. Soc. Am. B 17, 345-353 ( 2000) [CrossRef]
  8. C.M. de Sterke, K.R. Jackson, and B. D. Robert, �??Nonlinear Coupled-Mode Equations on a finite interval: A numerical Procedure,�?? J. Opt. Soc. Am. B 8, 403-412 (1991). [CrossRef]
  9. J. H. Lee, T. Tanemura, T. Nagashima, T. Hasegawa, S. Ohara, N. Sugimoto, and K. Kikuchi, �??Use of 1-m Bi2O3 nonlinear fiber for 160-Gbit/s optical-time division demultiplexing based on polarization rotation and wavelength shift induced by cross-phase modulation,�?? Opt. Lett. 30, 3144 - 3149 (2005). [CrossRef]
  10. K. Ogusu, �??Effect of stimulated Brillouin scattering on nonlinear pulse propagation in fiber Bragg gratings,�?? J. Opt. Soc. Am. B 17, 769-774 (2000). [CrossRef]
  11. Hojoon Lee and Govind P. Agrawal, �??Suppression of stimulated Brillouin scattering in optical fibers using fiber Bragg gratings,�?? Opt. Express 11, 3467 �?? 3472 (2003). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited