Effect of radiative loss on pulses in periodically inhomogeneous birefringent optical fibers

Noel F. Smyth; Adrian H. Pincombe

doi:10.1103/PhysRevE.57.7231

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Effect of radiative loss on pulses in periodically inhomogeneous birefringent optical fibers

Noel F. Smyth^*

Adrian H. Pincombe

Department of Mathematics and Statistics, The King’s Buildings, University of Edinburgh, Edinburgh EH9 3JZ, Scotland, United Kingdom

Wide Area Surveillance Division, Defense Science and Technology Organization, P.O. Box 1500, Salisbury, South Australia 5108, Australia

^*Electronic address: noel@maths.ed.ac.uk

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Phys. Rev. E 57, 7231 – Published 1 June, 1998

DOI: https://doi.org/10.1103/PhysRevE.57.7231

Abstract

The evolution of coupled pulses in a nonlinear birefringent optical fiber with a periodic modulation of the group velocity birefringence is considered. By using a trial function consisting of coupled pulses with variable parameters in the two modes in an averaged Lagrangian, ordinary differential equations for the pulse parameters are obtained. Furthermore, by considering linearized equations the effect of the dispersive radiation shed as the pulses evolve is calculated and the ordinary differential equations are augmented to include mass and momentum loss due to dispersive radiation. It is found that the inclusion of this dispersive radiation is necessary in order to obtain good agreement with full numerical solutions of the governing equations.

References (18)

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[c1] A. Hasegawa and F. Tappert, Appl. Phys. Lett. 23, 142 (1973).

[c2] L. F. Mollenauer, K. Smith, J. P. Gordon, and C. R. Menyuk, Opt. Lett. 14, 1219 (1989).

[c3] M. Romagnoli, S. Trillo, and S. Wabnitz, Opt. Quantum Electron. 24, S1237 (1992).

[c4] J. P. Gordon, J. Opt. Soc. Am. B 9, 91 (1992).

[c5] F. Kh. Abdullaev, J. G. Caputo, and N. Flytzanis, Phys. Rev. E 50, 1552 (1994).

[c6] B. A. Malomed, D. F. Parker, and N. F. Smyth, Phys. Rev. E 48, 1418 (1993).

[c7] F. Kh. Abdullaev and J. G. Caputo, Phys. Rev. E 55, 6061 (1997).

[c8] T. Ueda and W. L. Kath, Physica D 55, 166 (1992).

[c9] B. A. Malomed and N. F. Smyth, Phys. Rev. E 50, 1535 (1994).

[c10] D. Anderson, Phys. Rev. A 27, 3135 (1983).

[c11] W. L. Kath and N. F. Smyth, Phys. Rev. E 51, 1484 (1995).

[c12] N. F. Smyth and A. L. Worthy, J. Opt. Soc. Am. B 14, 2610 (1997).

[c13] W. L. Kath and N. F. Smyth (unpublished).

[c14] W. L. Kath and N. F. Smyth (unpublished).

[c15] C. R. Menyuk, IEEE J. Quantum Electron. 23, 174 (1987).

[c16] A. Mecozzi, S. Trillo, S. Wabnitz, and B. Daino, Opt. Lett. 12, 275 (1987).

[c17] S. V. Chernikov, E. M. Dianov, D. J. Richardson, and D. N. Payne, Opt. Lett. 18, 476 (1993).

[c18] B. Fornberg and G. B. Whitham, Philos. Trans. R. Soc. London, Ser. A 289, 373 (1978).

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Effect of radiative loss on pulses in periodically inhomogeneous birefringent optical fibers

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References (18)

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