Pancharatnam’s phase induced by spin-orbit interaction in weakly guiding twisted elliptical fibres

Ukrainian Journal of Physical Optics

Volumn 8, Issue 1, 2007, Pages 1-12

  Alexeyev, C N ^a   Yavorsky, M A ^a  

^a TAURIDA NATIONAL V I VERNADSKY UNIVERSITY   (Ukraine)

Author keywords

Pancharatnam Berry s phase; Spin orbit interaction; Twisted fibre

Indexed keywords

EID: 84981715357     PISSN: 16091833     EISSN: 18162002     Source Type: Journal    
DOI: 10.3116/16091833/8/1/1/2007     Document Type: Article

References (35)

1. Berry MV, 1984. Quantal phase factors accompanying adiabatic changes. Proc. Roy. Soc. Lond. A392: 45-57.
2. Tomita A and Chiao RY, 1986. Observation of Berry’s Topological Phase by Use of an Optical Fiber. Phys. Rev. Lett. 57: 937-940.
3. Chiao RY and Wu Yong-Shi, 1986. Manifestations of Berry’s Topological Phase for the Photon. Phys. Rev. Lett. 57: 933-936.
4. Chen G, Wang Q, 1995. Local fields in single-mode helical fibres. Opt.Quantum Electron. 27: 1069-1074.
5. Berry MV, 1987. Interpreting the anholonomy of coiled light. Nature. 326: 277-278.
6. Alexeyev CN, Yavorsky MA, 2007. Berry’s phase for optical vortices in coiled optical fibres. J.Opt.A: Pure Appl. Opt. 9: 6-14.
7. Pancharatnam S, 1975. Collectedworks of S. Pancharatnam. Oxford: University Press.
8. Berry MV, 1987. The Adiabatic Phase and Pancharatnam’s Phase for Polarized Light. J. Mod. Opt. 34: 1401-1407.
9. Jiao H, Wilkinson SR, Chiao RY, Nathel H, 1989. Two topological phases in optics by means of a nonplanar Mach-Zehnder interferometer. Phys. Rev. Ser. A. 39: 3475-3486.
10. Bhandari R, 1988. Observation of non-integrable geometric phase on the poincare sphere. Phys. Lett. Ser. A. 133: 1-3.
11. Simon R, Kimble HJ, Sudarshan ECG, 1988. Evolving Geometric Phase and Its Dynamical Manifestation as a Frequency Shift: An Optical Experiment. Phys. Rev. Lett. 61: 19-22.
12. Ernesto De Vito, Alberto Levrero, 1994. Pancharatnam’s Phase for Polarized Light. J. Mod. Opt 41: 2233-2238.
13. Gantsog T, Tanas R, 1991. Discrete superpositions of coherent states and phase properties of elliptically polarized light propagating in a Kerr medium. Quant. Semiclass. Opt. 3: 33-48.
14. Garrison JC, Chiao RY, 1988. Geometrical Phases from Global Gauge Invariance of Nonlinear Classical Field Theories. Phys. Rev. Lett. 60: 165-168.
15. Sasaki Y, Hosaka T, Noda J, 1984. Polarization-maintaining optical fibers used for a laser diode redundancy system in a submarine optical repeater. J. Lightwave Technol. LT2: 816-823.
16. Copp VI, Genack AZ, 2003. Double-helix chiral fibers. Opt.Lett. 28: 1876-1878.
17. Oh S, Lee KR, Paek UC, Chung Y, 2003. Fabrication of helical long-period fiber gratings by use of a CO laser. Opt.Lett. 29: 1464-1466.
18. Kapron FP, Borrelli NF, Keck DB, 1972. Birefringence in dielectric optical waveguides. IEEE J. Quant. Electr. 8: 222-225.
19. Ulrich R, Simon A, 1979. Polarization optics of twisted single-moded fibers. Appl.Opt. 18: 2241-2251.
20. Fujii Y, Sano K, 1980. Polarization coupling in twisted elliptical optical fiber. Appl.Opt. 19: 2602-2605.
21. Barlow AJ, Ramskov-Hansen JJ, Payne DN, 1981. Birefringence and polarization mode-dispersion in spun single-mode fibers. Appl.Opt. 20: 2962-2967.
22. Galtarossa A, Griggio P, Palmieri L, Pizzinat A, 2003. Polarization mode dispersion properties of constantly spun randomly brief Tingent fibers. Opt.Lett. 28:1639-1641.
23. Pizzinat A, Marks BS, Palmieri L, Menyuk CR, Galtarossa A, 2003. Polarization mode dispersion of spun fibers with randomly varying birefringence. Opt.Lett. 28: 390-392.
24. Malykin GB, Pozdnyakova VI, 2000. Mathematical modeling of random coupling between polarization modes in single-mode optical fibers: VI. Evolution in the degree of polarization of nonmonochromatic radiation traveling in a twisted optical waveguide. Opt. Spectrosc. 89: 273-281.
25. Malykin GB, Pozdnyakova VI, Shereshevski IA, 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. Opt. Spectrosc. 88: 427-440.
26. Chen X, Hunt TL, Li MJ, Nolan DA, 2003. Properties of polarization evolution in spun fibers. Opt. Lett. 28: 2028-2030.
27. Bouquet G, de Montmorillon L-A, Nouchi P, 2004. Analytical solution of polarization mode dispersion for triangular spun fibers. Opt. Lett. 29: 2118-2120.
28. Li MJ, Chen X, Nolan DA, 2004. Effects of residual stress on polarization mode dispersion of fibers made with different types of spinning. Opt.Lett. 29: 448-450.
29. Alexeyev CN, Yavorsky MA, 2004. Optical vortices and the higher order modes of twisted strongly elliptical optical fibres. J. Opt. A: Pure Appl. Opt. 6: 824-832.
30. Yariv A. and Yeh P. Optical waves in crystals: propagation and control of laser radiation. New York: Wiley (1984).
31. Snyder A.W., Love J.D. Optical waveguide theory. London, New York: Chapman and Hall (1985).
32. Alekseev CN, Volyar AV, and Fadeeva TA, 2002. Spin-orbit interaction and evolution of optical eddies in perturbed weakly directing optical fibers. Opt. Spectrosc. 93: 588-597.
33. Davydov A.S. Quantum Mechanics. Oxford: Pergamon (1976).
34. Linares J, Nistal MC, Baldomir D, 1994. Beam modes in graded-index media and topological phases. Appl. Opt. 33: 4293-4299.
35. Volyar AV, Zhilaitis VZ, and Shvedov VG, 1999. Optical Eddies in Small-Mode Fibers: II. The Spin-Orbit Interaction. Opt. Spectrosc. 86: 593-598.