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Applied Optics

Applied Optics


  • Vol. 42, Iss. 21 — Jul. 20, 2003
  • pp: 4315–4319

Variable coupling coefficient nonlinear directional couplers with self-focusing and self-defocusing nonlinearity

Gang J. Liu, Bin M. Liang, Qu Li, and Guo L. Jin  »View Author Affiliations

Applied Optics, Vol. 42, Issue 21, pp. 4315-4319 (2003)

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Nonlinear directional couplers (NLDCs) with a variable coupling coefficient (VCC) in self-focusing and self-defocusing materials are investigated. Specifically, the Gaussian type VCC NLDCs are studied in detail. The results show that the responses of the VCC NLDCs on self-focusing and self-defocusing materials are different, especially when input power is high. The coupled-mode theory can also be used to predict the characteristics of the VCC NLDC on self-focusing material, even when input power is high.

© 2003 Optical Society of America

OCIS Codes
(130.3120) Integrated optics : Integrated optics devices
(130.3130) Integrated optics : Integrated optics materials
(130.4310) Integrated optics : Nonlinear
(230.1150) Optical devices : All-optical devices

Original Manuscript: October 7, 2002
Revised Manuscript: March 3, 2003
Published: July 20, 2003

Gang J. Liu, Bin M. Liang, Qu Li, and Guo L. Jin, "Variable coupling coefficient nonlinear directional couplers with self-focusing and self-defocusing nonlinearity," Appl. Opt. 42, 4315-4319 (2003)

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  1. S. M. Jensen, “The nonlinear coherent coupler,” IEEE J. Quantum Electron. QE-18, 1580–1583 (1982). [CrossRef]
  2. Y. Silberberg, B. G. Sfez, “All-optical phase- and power-controlled switching in nonlinear waveguide junctions,” Opt. Lett. 13, 1132–1134 (1988). [CrossRef] [PubMed]
  3. J. P. Sabini, N. Finlayson, G. I. Stegeman, “All-optical switching in nonlinear X junctions,” Appl. Phys. Lett. 55, 1176–1178 (1989). [CrossRef]
  4. C. Schmidt-Hattenberger, U. Trutschel, F. Lederer, “Nonlinear switching in multiple-core couplers,” Opt. Lett. 16, 294–296 (1991). [CrossRef] [PubMed]
  5. J. S. Aitchison, A. Villeneuve, G. I. Stegeman, “All-optical switching in two cascaded nonlinear directional couplers,” Opt. Lett. 20, 698–700 (1995). [CrossRef] [PubMed]
  6. G. J. Liu, B. M. Liang, G. L. Jin, Q. Li, “Arc-shaped waveguide switch based on the third-order nonlinear effect,” Appl. Opt. 41, 5022–5024 (2002). [CrossRef] [PubMed]
  7. G. J. Liu, B. M. Liang, Q. Li, G. L. Jin, “Multiple coupling length nonlinear directional couplers with variable coupling coefficient,” Opt. Commun. 218, 113–117 (2003). [CrossRef]
  8. Amnon Yariv and Pochi Yeh, Optical Waves in Crystals (Wiley, New York, 1984, pp. 459–469.
  9. F. J. Fraile-Pelaez, G. Assanto, “Coupled-mode equations for nonlinear directional couplers,” Appl. Opt. 29, 2216–2217 (1990). [CrossRef] [PubMed]
  10. Y. Chen, “Solution to full coupled wave equations of nonlinear coupled systems,” IEEE J. Quantum Electron. 25, 2149–2153 (1989). [CrossRef]
  11. F. Farjady, M. G. F. Wilson, P. M. Radmore, “Matrix coupled mode theory model of strongly-coupled multiwaveguide optical nonlinear directional couplers,” Opt. Quantum Electron. 33, 173–188 (2001). [CrossRef]
  12. W. P. Huang, “Coupled-mode theory for optical waveguides: an overview,” J. Opt. Soc. Am. A 11, 963–983 (1994). [CrossRef]
  13. G. R. Hadley, “Wide-angle beam propagation using Padé approximant operators,” Opt. Lett. 17, 1426–1428 (1992). [CrossRef]
  14. G. R. Hadley, “Transparent boundary condition for the beam propagation method,” IEEE J. Quantum Electron. 28, 363–370 (1992). [CrossRef]
  15. G. P. Agrawal, Nonlinear Fiber Optics, 2nd ed. (Academic, San Diego, 1995), pp. 42–43.
  16. G. J. Liu, B. M. Liang, Q. Li, G. L. Jin, “Switching characteristics of variable coupling coefficient nonlinear directional coupler,” IEEE. J. Lightwave Technol., submitted for publication.
  17. G. I. Stegeman, E. M. Wright, “All-optical waveguide switching,” Opt. Quantum Electron. 22, 95–122 (1990). [CrossRef]
  18. N. Finlayson, E. M. Wightt, C. T. Seaton, G. I. Stegeman, Y. Silberberg, “Beam propagation study of nonlinear coupling between transverse electric modes of a slab waveguide,” Appl. Phys. Lett. 50, 1562–1564 (1987). [CrossRef]

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