A systematic derivation of the Coupled Nonlinear Schrodinger Equations (CNLSE) governing nonlinear pulse propagation in a weakly birefringent monomode optical fiber based on a multiple-scale perturbation solution of the semilinear vector wave equation for the electric field in a (randomly) birefringent fiber medium is presented. The analysis of the nonlinear propagation characteristics of optical pulses based on a numerical solution of the CNLSE is deferred to the second part of this contribution.
2. Xie, C., M. Karlsson, P. A. Andrekson, H. Sunnerud, and J. Lie, "Influences of polarization-mode dispersion on soliton transmission systems," IEEE J. Selected Topics in Quantum Electron., Vol. 8, No. 3, 575-590, 2002.
3. Muthuchidambaranathan, P., N. Kalyanasundaram, and D. Ravikumar, "Soliton propagation in birefringent optical fibers," Fiber and Integrated Optics, Vol. 27, 99-111, 2008.
4. Menyuk, C. R., "Nonlinear pulse propagation in birefringent optical fibers," IEEE J. Quantum Electron., Vol. 23, 174-176, 1987.
5. Menyuk, C. R., "Application of multiple length-scale methods to the study of optical fiber transmission," Journal of Engineering Mathematics, Vol. 36, 113-136, 1999.
6. Hasegawa, A. and F. D. Tappert, "Transmission of stationary nonlinear pulses optical pulses in dispersive dielectric fibers. I. Anomalous dispersion," Appl. Phys. Lett., Vol. 23, 142-144, 1973.
7. Menyuk, C. R., "Pulse propagation in an elliptically birefringent Kerr medium," IEEE J. Quantum Electron., Vol. 25, 2674-2682, 1989.
8. Shen, Y. R., The Principles of Nonlinear Optics, Wiley, New York, 1984.
9. Agrawal, G. P., Nonlinear Fiber Optics, Academic, San Diego, 1995.
10. Wai, P. K. A. and C. R. Menyuk, "Polarization decorrelation in optical fibers with randomly varying birefringence," Opt. Lett., Vol. 19, 1517-151, 1994.
11. Kodama, Y., "Optical solitons in monomode fiber," J. Stat. Phys., Vol. 39, 597-614, 1985.
12. Marcuse, D., C. R. Menyuk, and P. K. A. Wai, "Applications of Manakov-PMD equation to studies of signal propagation in optical fibers with randomly varying birefringence," J. Lightwave Technol., Vol. 15, No. 9, 1735-1746, 1997.
13. Newell, A. C. and J. V. Moloney, Nonlinear Optics, Addison-Wesley Publishing Company, 1992.
14. Butcher, P. N. and D. Cotter, The Elements of Nonlinear Optics, Cambridege University Press, 1990.
15. Kodama, Y. and A. Hasegawa, "Nonlinear pulse propagation in a monomode dielectric guide," IEEE Journal of Quantum Electronics, Vol. 23, No. 5, 510-524, 1987.
16. Okamoto, K., Fundamentals of Optical Waveguides, Academic Press, 2006.
17. Hasegawa, A. and M. Matsumoto, Optical Solitons in Fibers, 3rd Ed., Springer, 2003.