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  • Vol. 27, Iss. 11 — Jun. 1, 2002
  • pp: 933–935

Nonlinear dispersion in a coupled-resonator optical waveguide

Shayan Mookherjea, Donald S. Cohen, and Amnon Yariv  »View Author Affiliations


Optics Letters, Vol. 27, Issue 11, pp. 933-935 (2002)
http://dx.doi.org/10.1364/OL.27.000933


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Abstract

The propagation of an optical pulse in a coupled-resonator optical waveguide may be calculated nonperturbatively to all orders of dispersion, in the conventional tight-binding approximation, even though the dispersion relationship is nonlinear. Working in this framework, we discuss limits of the physical parameters and approximations to the exact formulation that highlight the conditions under which pulse distortion can be minimized. The results are fundamental to the design of coupled-resonator optical waveguides and are also relevant to other applications of the tight-binding method.

© 2002 Optical Society of America

OCIS Codes
(060.5530) Fiber optics and optical communications : Pulse propagation and temporal solitons
(260.2030) Physical optics : Dispersion
(350.5500) Other areas of optics : Propagation

Citation
Shayan Mookherjea, Donald S. Cohen, and Amnon Yariv, "Nonlinear dispersion in a coupled-resonator optical waveguide," Opt. Lett. 27, 933-935 (2002)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-27-11-933


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References

  1. S. Mookherjea and A. Yariv, “Coupled-resonator optical waveguides,” IEEE J. Sel. Top. Quantum Electron. (to be published).
  2. A. Yariv, Y. Xu, R. Lee, and A. Scherer, Opt. Lett. 24, 711 (1999).
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  7. See, e.g., K. Sakoda, Optical Properties of Photonic Crystals (Springer, New York, 2001), Chap. 6.
  8. S. Mookherjea and A. Yariv, Opt. Express 9, 91 (2001), http://www.opticsexpress.org.
  9. S. Mookherjea and A. Yariv, Phys. Rev. E 64, 066602 (2001).
  10. S. Mookherjea and A. Yariv, “Pulse propagation in a coupled-resonator optical waveguide to all orders of dispersion,” Phys. Rev. E (to be published).
  11. G. P. Agrawal, Nonlinear Fiber Optics (Academic, San Diego, Calif., 1989).
  12. G. Watson, A Treatise on the Theory of Bessel Functions (Cambridge University, Cambridge, England, 1944).

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