Random groups in the optical waveguides theory

Journal of Nonlinear Mathematical Physics

Volumn 8, Issue 4, 2001, Pages 491-517

  Malykin, G B ^a   Pozdnyakova, V I ^b   Shereshevskii, I A ^b  

^a INSTITUTE OF APPLIED PHYSICS   (Russian Federation)

^b INSTITUTE FOR PHYSICS OF MICROSTRUCTURES   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035624315     PISSN: 14029251     EISSN: 17760852     Source Type: Journal    
DOI: 10.2991/jnmp.2001.8.4.5     Document Type: Article

References (37)

1. Okoshi, T, and Kikuchi, K. 1986. Coherent Optical Communications, Dordrecht:KTK-Reidel Publ. Comp. -Tokio.
2. Dianov, E M. 2000. On the Treshhold of Tera-era. Quantum Electronics, 30(8):659–663. (in Russian)
3. Vali, V, and Shorthill, R W. 1976. Fiber Ring Interferometer. Appl. Opt., 15(5):1099–1100.
4. Vali, V, and Shorthill, R W. 1977. Ring Interferometer 950m Long. Appl. Opt., 16(2):290–291.
5. Lefevre, H. 1993. Fiber-Optic Gyroscopes, Artech House.
6. Gurianov, A N, Gusovsky, D D, Deviatyh, G G, Dianov, E M, Karasik, A Ya, Kozlov, V A, Prohorov, A M, and Senatorov, A K. 1983. Highly Sencitive Fiber Optical Sensor. USSR Doklady, 269(2):334–336. (in Russian)
7. Gurianov, A N, Gusovsky, D D, Deviatyh, G G, Dianov, E M, Karasik, A Ya, Kozlov, V A, Prohorov, A M, and Senatorov, A K. 1985. Rotation Sensor Based on the Depolarized Single-Mode Fiber Optic. JTP Letters, 11(6):321–325. (in Russian)
8. Dianov, E M, Karasik, A Ya, Kozlov, V A, and Senatorov, A K. 1988. Fiber Optic Rotation Sensor. Works of Optical Physics Inst. of Academy of Sciences, 15:140–164. (in Russian)
9. Rashleigh, S C. 1983. Origins and Control of Polarization Effects in Single-Mode Fibers. J. Lightwave Techn., LT-1(2):312–331.
10. Noda, J, Okamoto, K, and Sasaki, Y. 1986. Polarization-Maintaining Fibers and Their Applications. J. Lightwave Techn., LT-4(8):1071–1089.
11. Poole, C D. 1988. Statistical Treatment of Polarization Dispersion in Single-Mode Fiber. Opt. Lett., 13(8):687–689.
12. Gisin, N, Von der, Wied J P, and Pellaux, J P. 1991. Polarization Mode Dispersion of Short and Long Single-Mode Fibers. J. Lightwave Tech., 9(9):821–827.
13. Zalogin, A N, Kozel, S M, and Listvin, V N. 1986. Propagation of Non-Monochromatic Radiation in Anisotropic Single-Mode Fiber-Optic Guides. Izvestiya Vuzov. Radiophysics, 29(2):243–245. (in Russian)
14. Malykin, G B. 1992. Propagation of Non-Monochromatic Radiation in Isotropic Single-Mode Fiber-Optic Guides with a Weak Induced Birefringence. Radiophysics and Quantum Electronics. Izvestija VUZov. Radiofizika, 35(11–12):635–639.
15. Kocharovsky, V V, Kocharovsky, VI V, Mironov, Yu M, and Zaytsev, V Yu. 1998. Light Polarization and Linear Interaction of Screw Modes in Twisted Fibers with Random Inhomogeneities. Russian Academy of Sciences Izvestiya Physics, 62(2):362–371. (in Russian)
16. Burns, W K, Moeller, R P, and Chen, C L. 1983. Depolarization in a Single-Mode Optical Fiber. J. Lightwave Techn., LT-1(1):44–49.
17. Shangyuan, H, Zongqi, L, and Weimin, F. 1986. Analysis of the Degree of Polarization of Optical Waves in a Single-Mode Optical Fiber with Random Coupling. J. Lightwave Techn., LT-4(1):22–29.
18. Malykin, G B, Nefedov, I M, and Shereshevsky, I A. 1994. Effect of Random Coupling of Orthogonal Modes on Polarization of Single-Mode Fiber Optical Waveguides (SMF) and SMF-Based Ring Interferometers. I. Change in Degree of Polarization of Nonmonochromatic Radiation Propagating through Single-Mode Fiber Optic Waveguide. Radiophysics and Quantum Electronics. Izvestija VUZov. Radiofizika, 37(10):847–852.
19. Malykin, G B, Pozdnyakova, V I, and Shereshevsky, I A. 1997. Mathematical Simulation of Random Coupling between Polarization Modes in Single-Mode Fiber Waveguides:I. Evolution of the Degree of Polarization of Nonmonochromatic Radiation Traveling in a Fiber Waveguide. Optics and Spectroscopy, 83(5):780–789.
20. Malykin, G B, Pozdnyakova, V I, and Shereshevsky, I A. 2000. Coupling between Elliptic Screw Polarization Modes in Single-Mode Optical Waveguides with Linear Birefringence and Regular Twist of Anisotropy Axes in the Presence of Random Axis Twist. Optics and Spectroscopy, 88(3):427–440.
21. Malykin, G B, and Pozdnyakova, V I. 1998. Mathematical Simulation of Random Coupling between Polarization Modes in Single-Mode Fiber Waveguides:II. Zero Drift in a Fiber Ring Interferometer. Optics and Spectroscopy, 84(1):131–136.
22. Malykin, G B, and Pozdnyakova, V I. 1999. Mathematical Simulation of Random Coupling between Polarization Modes in Single-Mode Fiber Waveguides:III. Optimization of Parameters of a Depolarizer of Polychromatic Radiation for a Fiber Ring Interferometer. Optics and Spec-troscopy, 86(3):444–450.
23. Malykin, G B, and Pozdnyakova, V I. 1999. Mathematical Simulation of Random Coupling between Polarization Modes in Single-Mode Fiber Waveguides:IV. Zero Drift in Various Schemes of Fiber Ring Interferometers with Depolarizers of Polychromatic Radiation. Optics and Spectroscopy, 86(3):451–459.
24. Tutubalin, V N. 1973. Dynamical Systems with Random Perturbations. Teor. Verojatnost. i Prime-nen., 18(4):718–733. (in Russian)
25. Hannan, E J. 1965. Group Representations and Applied Probability, Methuen’s Supplementary Review Series in Applied Probability, Vol. 3, London:Methuen & Co., Ltd.
26. Grenander, U. 1968. Probabilities on Algebraic Structures, Second, New York - London:Almqvist & Wiksell -Stockholm; John Wiley & Sons Inc.
27. Feller, W. 1971. Introduction to Probability Theory and its Application, New York:John Wiley & Sons, Inc.
28. Monerie, M, and Jeunhomme, L. 1980. Polarization Mode Coupling in Long Single-Mode Fibers. Optical and Quantum Electronics, 12(6):449–461.
29. Payne, F P, Payne, D N, and Varnham, M P. 1987. Cross-Talk in Polarization-Maintaining Fibers. Research J. of Depart. of Electronics and Computer Science, Univ. of Sauthamton,:144–145.
30. Kaminov, I P. 1981. Polarization in Optical Fibers. IEEE J. of Quantum Electronics, QE-17(1):15–22.
31. Rytov S M, Kravtsov Yu A, Tatarskii V I, Principles of Statistical Radiophysics. Correlation Theory of Random Processes, Translated from the second Russian edition by A P Repyev, Springer-Verlag - Berlin - New York, Vol. 1, 1987, Vol. 2, 1988
32. Mandel, L, and Wolf, E. 1995. Optical Coherence and Quantum Optics, Cambridge Univ. Press.
33. Aleksandrov, A Yu, Grigor’yants, V V, Zalogin, A N, Ivanov, A G, Isaev, V A, Kozel, S M, Listvin, V N, Chamorovskii, Yu K, and Yushkaitis, R V. 1988. Preservation of Polarization in Anisotropic Single-Mode Fiber-Optic Lightguides with Elliptic Strained Envelope. Radiotechnics,:90–95. (in Russian)
34. Marcuse, D. 1974. Theory of Dielectric Optical Waveguides, New-York - London:Academic Press.
35. Shurkliff, W A. 1962. Polarized Light, Cambr, Mass:Harvard Univ. Press.
36. Barut, A, and Ra¸czka, R. 1977. Theory of Group Representations and Applications, Warszawa:PWN–Polish Scientific Publishers.
37. Kato T, Perturbation Theory for Linear Operators, Reprint of the 1980 edition, Classics in Mathematics, Springer-Verlag - Berlin, 1995