Application of multiple-length-scale methods to the study of optical fiber transmission

Journal of Engineering Mathematics

Volumn 36, Issue 1-2, 1999, Pages 113-136

  Menyuk, C R ^a,b  

^a University of Marylandw Baltimore County   (United States)

^b Laboratory for Telecommunications Sciences   (United States)

Author keywords

Birefringence; Communications; Multiple length scales; Nonlinearity; Optical fibers

Indexed keywords

BIREFRINGENCE; MAXWELL EQUATIONS; NONLINEAR EQUATIONS; NONLINEAR OPTICS;

MULTIPLE LENGTH SCALES; OPTICAL FIBER TRANSMISSION;

FIBER OPTICS;

OPTICAL FIBER;

EID: 0033371850     PISSN: 00220833     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1017255407404     Document Type: Article

References (31)

1. N. Bloembergen, Nonlinear Optics. Reading (MA): Benjamin (1965) 229 pp.
2. Y. R. Shen, The Principles of Nonlinear Optics. New York: Wiley (1984) 563 pp.
3. G. P. Agrawal, Nonlinear Fiber Optics. San Diego: Academic (1995) 592 pp.
4. A. Hasegawa and Y. Kodama, Solitons in Optical Communications. Oxford: Clarendon (1995) 320 pp.
5. A. Hasegawa and F. D. Tappert, Transmission of stationary nonlinear pulses optical pulses in dispersive dielectric fibers. I. Anomalous dispersion. Appl. Pliys. Lett. 23 (1973) 142-144.
6. C. R. Menyuk, Pulse propagation in an elliptically biréfringent Kerr medium. IEEEJ. Quantum Electron. 25 (1989)2674-2682.
7. C. R. Menyuk, Impairments due to nonlinearity and birefringence in optical fiber transmission systems. In: A. E. Willner and C. R. Menyuk (eds). System Technologies. Washington: Optical Society of America TOPS Vol. 12 (1997) 523 pp.
8. S. B. Alexander, The WDM Revolution. In: A. E. Willner and C. R. Menyuk (eds), System Technologies Washington: Optical Society of America TOPS Vol. 12 ( 1997) 523 pp.
9. Examples of currently available commercial software packages are BroadNeD and OPALS by Virtual Photonics F.C.
10. H. Poincaré, Les méthodes nouvelles de la mécanique céleste, tome I. Paris: Gauthier-Villars ( 1892) 385 pp
11. A large number of such problems can be found cited by H. Minorsky, Nonlinear Oscillations. Princeton (NJ): Van Nostrand (1962) 714 pp.; A. Nayfeh, Perturbation Methods. New York: Wiley (1973) 425 pp.
12. Y. Kodama, Optical solitons in a monomode fiber. J. Slat. Phys. 39 (1985) 597-614.
13. P. Appell, Henri Poincarc. Paris: Plon-Nourrit (1925) 121 pp.
14. J. Gowar, Optical Communication Systems. New York: Prentice Hall (1993) 696 pp.
15. C. R. Menyuk, D. Wang and A. N. Pilipetskii, Repolarization of polarization-scrambled signals due to polarization dependent loss. IEEE Photon. Technol. Lett. 9 (1997) 1247-1249.
16. A. R. Chraplyvy, Limitations on lightwave communications imposed by optical-fiber nonlinearities. J. Lightwave Technol. 8 (1990) 1548-1557.
17. R. W. Hellwarth, Third-order optical susceptibilities of liquids and solids. Prog. Quant. Electron. 5 (1977) 1-68.
18. C. R. Menyuk, M. N. Islam and J. P. Gordon, Raman effect in biréfringent optical fibers. Opt. Lett. 16 (1991) 566-568.
19. R. H. Stolen, J. P. Gordon, W. J. Tomlinson and H. A. Haus, Raman response function of silica core fibers. J. Opt. Soc. Am. B 6 (1989) 1159-1166.
20. P. K. A. Wai and C. R. Menyuk, Polarization decorrelation in optical fibers with randomly varying birefringence. Opt. Lett. 19 (1994) 1517-1519.
21. P. K. A. Wai and C. R. Menyuk, Anisotropie diffusion of the state of polarization in optical fibers with randomly varying birefringence. Opt. Lett. 20 (1995) 2490-2492.
22. C. R. Menyuk and P. K. A. Wai, Polarization evolution and dispersion in fibers with spatially varying birefringence. J. Opt. Soc. Am. B 11 (1994) 1288-1296.
23. P. K. A. Wai and C. R. Menyuk, Polarization mode dispersion, decorrelation, and diffusion in optical fibers with randomly varying birefringence. J. Lightwave Technol. 14 (1996) 148-157.
24. C. D. Poole and J. Nagel, Polarization effects in lightwave systems. In: I. P. Kaminow and T. L. Koch (eds), Optical Fiber Telecommunications, Vol. IIIA. San Diego: Academic (1997) 608 pp.
25. C. D. Poole, Statistical treatment of polarization dispersion in single-mode fiber. Opt. Lett. 13 (1988) 687689.
26. D. Marcuse, C. R. Menyuk and P. K. A. Wai, Application of the Manakov-PMD equation to studies of signal propagation in optical fibers with randomly varying birefringence. J. Lightwave Technol. 15 (1997) 1735-1746.
27. L. F. Mollenauer, S. G. Evangelides, Jr. and H. A. Haus, Long-distance soliton propagation using lumped amplifiers and dispersion shifted fiber./ Light\\-ave Technol. 9 (1991) 194-197.
28. K. J. Blow and N. J. Doran, Average soliton dynamics and the operation of soliton systems with lumped amplifiers. IEEE Photon. Technol. Lett. 3 (1991) 369-371.
29. J. C. Bronski and J. N. Kutz, Modulational stability of plane waves in nonreturn-to-zero communications systems with dispersion management. Opt. Lett. 21 (1996) 937-939.
30. S. K. Turitsyn, Theory of average pulse propagation in high-bit-rate optical transmission systems with strong dispersion management. JETP Lett. 65 (1997) 845-851, (PismaZh. Eksp. Tear. Fiz. 65 (1997) 812-817).
31. Y. Kodama, S. Kumar and A. Manila, Chirped nonlinear pulse propagation in a dispersion-compensated system. Opt. Lett. 22 (1997) 1689-1691.