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Optics Express

Optics Express

  • Editor: J. H. Eberly
  • Vol. 3, Iss. 11 — Nov. 23, 1998
  • pp: 405–410

Propagation through apodized gratings

C. Martijn de Sterke  »View Author Affiliations


Optics Express, Vol. 3, Issue 11, pp. 405-410 (1998)
http://dx.doi.org/10.1364/OE.3.000405


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Abstract

It is shown that light propagation in an apodized fiber Bragg grating with a Kerr nonlinearity approximately obeys a nonlinear Schrödinger-like equation, but with extra terms because the eigenstates of the grating vary with position. It is shown that propagation through such a grating leads to field enhancement, and to a nontrivial phase shift; an approximate expression for the reflectivity is also found.

© Optical Society of America

OCIS Codes
(050.2770) Diffraction and gratings : Gratings
(060.2340) Fiber optics and optical communications : Fiber optics components

ToC Category:
Focus Issue: Bragg solitons and nonlinear optics of periodic structures

History
Original Manuscript: September 24, 1998
Published: November 23, 1998

Citation
Martijn de Sterke, "Propagation through apodized gratings," Opt. Express 3, 405-410 (1998)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-3-11-405


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References

  1. C. M. de Sterke and J. E. Sipe, "Gap solitons," in Progress in Optics 33, E. Wolf, ed. (Elsevier, Amsterdam, 1994) 203-260.
  2. C. M. de Sterke and B. J. Eggleton, "Bragg solitons and the nonlinear Schr"odinger equation," Phys. Rev. E (to be published).
  3. P. S. Cross and H. Kogelnik, Opt. Lett. 1, 43-45 (1977). [CrossRef] [PubMed]
  4. B. Malo, D. C. Johnson, F. Bilodeau, J. Albert and K. O. Hill, Elect. Lett. 31, 223-225 (1995). [CrossRef]
  5. F. Ouellette, Opt. Lett. 12, 847-849 (1987). [CrossRef] [PubMed]
  6. B. J. Eggleton, C. M. de Sterke, and R. E. Slusher, "Bragg grating solitons in the nonlinear Schr"odinger limit: theory and experiment," submitted to J. Opt. Soc. Am. B.
  7. L. Poladian, Phys. Rev. E 48 4758-4767 (1993). [CrossRef]
  8. D. Marcuse, Theory of dielectric optical waveguides, 2nd Ed. (Academic, San Diego, 1991).

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