Abstract

It is shown that light propagation in an apodized fiber Bragg grating with a Kerr nonlinearity approximately obeys a nonlinear Schr"odinger-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.

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  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).
  4. B. Malo, D. C. Johnson, F. Bilodeau, J. Albert and K. O. Hill, Elect. Lett. 31, 223-225 (1995).
  5. F. Ouellette, Opt. Lett. 12, 847-849 (1987).
  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).
  8. D. Marcuse, Theory of dielectric optical waveguides, 2nd Ed. (Academic, San Diego, 1991).

Other

C. M. de Sterke and J. E. Sipe, "Gap solitons," in Progress in Optics 33, E. Wolf, ed. (Elsevier, Amsterdam, 1994) 203-260.

C. M. de Sterke and B. J. Eggleton, "Bragg solitons and the nonlinear Schr"odinger equation," Phys. Rev. E (to be published).

P. S. Cross and H. Kogelnik, Opt. Lett. 1, 43-45 (1977).

B. Malo, D. C. Johnson, F. Bilodeau, J. Albert and K. O. Hill, Elect. Lett. 31, 223-225 (1995).

F. Ouellette, Opt. Lett. 12, 847-849 (1987).

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.

L. Poladian, Phys. Rev. E 48 4758-4767 (1993).

D. Marcuse, Theory of dielectric optical waveguides, 2nd Ed. (Academic, San Diego, 1991).

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