Generation and conversion of optical vortices in long-period helical core optical fibers

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 78, Issue 4, 2008, Pages

  Alexeyev, Constantine N ^a   Yavorsky, Maxim A ^a  

^a TAURIDA NATIONAL V I VERNADSKY UNIVERSITY   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

OPTICAL FIBERS; RESONANCE; TOPOLOGY; VORTEX FLOW;

COUPLED MODES; ENERGY EXCHANGES; FUNDAMENTAL MODES; HELICAL COORDINATES; HELICITY; INPUT BEAMS; INTERSECTION POINTS; OPTICAL VORTICES; POLARIZATION MODES; PROPAGATION CONSTANTS; RIGHT CIRCULARLY POLARIZED; SINGULAR BEAMS; SPECTRAL CURVES; TOPOLOGICAL CHARGES; TWISTED FIBERS; VORTEX MODES;

FIBERS;

EID: 55749100341     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.78.043828     Document Type: Article

References (73)

1. M. Vasnetsov and K. Staliunas, Optical Vortices (Nova Science, Huntington, NY, 1999), Vol. 228;
2. A. Desyatnikov, Yu. Kivshar, and L. Torner, Prog. Opt. 47, 291 (2005).
3. M. S. Soskin and M. V. Vasnetsov, Prog. Opt. 42, 219 (2001).
4. G. A. Swartzlander, Jr., " Singular Optics/Optical Vortex References, " http://www.u.arizona.edu/~grovers/SO/so.html
5. J. F. Nye and M. V. Berry, Proc. R. Soc. London, Ser. A 10.1098/rspa.1974.0012 336, 165 (1974).
6. L. Allen, M. J. Padgett, and M. Babiker, Prog. Opt. 39, 291 (1999);
7. S. Franke-Arnold, L. Allen, and M. Padgett, Laser Photonics Rev. 2, 299 (2008). 10.1002/lpor.200810007
8. L. Allen, S. M. Barnett, and M. J. Padgett, Optical Angular Momentum (IOP Publishing, Bristol, 2003).
9. G. S. Agarwal and J. Banerji, Opt. Lett. 10.1364/OL.27.000800 27, 800 (2002).
10. G. Gibson, J. Courtial, M. J. Padgett, M. Vasnetsov, V. Pas'ko, S. M. Barnett, and S. Franke-Arnold, Opt. Express 10.1364/OPEX.12.005448 12, 5448 (2004).
11. Z. Bouchal and R. Chelechovsky, New J. Phys. 10.1088/1367-2630/6/1/131 6, 131 (2004).
12. J. A. Anguita, M. A. Neifeld, and B. V. Vasic, Appl. Opt. 10.1364/AO.47.002414 47, 2414 (2008).
13. T. Gahagan and G. A. Swartzlander, Jr., Opt. Lett. 21, 827 (1996);
14. W. M. Lee, B. P. S. Ahluwalia, X.-C. Yuan, W. C. Cheong, and K. Dholakia, J. Opt. A, Pure Appl. Opt. 10.1088/1464-4258/7/1/001 7, 1 (2005);
15. V. Garces-Chavez, K. Volke-Sepulveda, S. Chavez-Cerda, W. Sibbett, and K. Dholakia, Phys. Rev. A 10.1103/PhysRevA.66.063402 66, 063402 (2002);
16. H. He, M. E. J. Friese, N. R. Heckenberg, and H. Rubinsztein-Dunlop, Phys. Rev. Lett. 10.1103/PhysRevLett.75.826 75, 826 (1995).
17. G. H. Lee, G. Foo, E. G. Johnson, and G. A. Shwartzlander, Jr., Phys. Rev. Lett. 10.1103/PhysRevLett.97.053901 97, 053901 (2006);
18. F. Tamburini, G. Anzolin, G. Umbriaco, A. Bianchini, and C. Barbieri, Phys. Rev. Lett. 10.1103/PhysRevLett.97.163903 97, 163903 (2006);
19. G. A. Shwartzlander, Jr., E. L. Ford, R. S. Abdul-Malik, L. M. Close, M. A. Peters, D. M. Palacios, and D. W. Wilson, Opt. Express 10.1364/OE.16.010200 16, 10200 (2008).
20. B. Spektor, A. Normatov, and J. Shamir, Appl. Opt. 10.1364/AO.47.000A78 47, A78 (2008).
21. A. G. Peele and K. A. Nugent, Opt. Express 11, 2315 (2003).
22. S. Thanvanthri, K. T. Kapale, and J. P. Dowling, Phys. Rev. A 10.1103/PhysRevA.77.053825 77, 053825 (2008).
23. P. S. Tan, X.-C. Yuan, J. Lin, Q. Wang, T. Mei, R. E. Burge, and G. G. Mu, Appl. Phys. Lett. 10.1063/1.2890058 92, 111108 (2008).
24. K. O'Holleran, M. R. Dennis, F. Flossmann, and M. J. Padgett, Phys. Rev. Lett. 100, 053902 (2008). 10.1103/PhysRevLett.100.053902
25. J. F. Nye, Natural Focusing and Fine Structure of Light: Caustics and Wave Dislocation (IOP Publishing, Bristol, 1999);
26. M. V. Berry, J. Opt. A, Pure Appl. Opt. 10.1088/1464-4258/6/5/030 6, 475 (2004);
27. I. Freund, M. S. Soskin, and A. I. Mokhun, Opt. Commun. 208, 223 (2002); 10.1016/S0030-4018(02)01585-7
28. F. Flossmann, K. O'Holleran, M. R. Dennis, and M. J. Padgett, Phys. Rev. Lett. 10.1103/PhysRevLett.100.203902 100, 203902 (2008).
29. I. I. Mokhun, in Optical Correlation Techniques and Applications (SPIE Press, Bellingham, 2007) p. 1;
30. I. Mokhun and R. Khrobatin, J. Opt. A, Pure Appl. Opt. 10.1088/1464-4258/10/6/064015 10, 064015 (2008).
31. A. Ya. Bekshaev and M. S. Soskin, Opt. Commun. 10.1016/j.optcom.2006.10. 057 271, 332 (2007).
32. M. W. Beijersbergen, L. Allen, H. E. L. O. van der Ween, and J. P. Woerdman, Opt. Commun. 10.1016/0030-4018(93)90535-D 96, 123 (1993);
33. J. Courtial and M. J. Padgett, Opt. Commun. 10.1016/S0030-4018(98)00599-9 159, 13 (1999);
34. E. Abramochkin and V. Volostnikov, Opt. Commun. 10.1016/0030-4018(91) 90534-K 83, 123 (1991).
35. M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, Opt. Commun. 10.1016/0030-4018(94)90638-6 112, 321 (1994);
36. X.-C. Yuan, J. Lin, J. Bu, and R. E. Burge, Opt. Express 10.1364/OE.16.013599 16, 13599 (2008).
37. N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, Opt. Lett. 17, 221 (1992);
38. V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, J. Mod. Opt. 10.1080/09500349214551011 39, 985 (1992).
39. Y. J. Liu, X. W. Sun, D. Luo, and Z. Raszewsk, Appl. Phys. Lett. 10.1063/1.2894521 92, 101114 (2008).
40. Ya. V. Izdebskaya, V. G. Shvedov, and A. V. Volyar, Opt. Lett. 10.1364/OL.30.002472 30, 2472 (2005);
41. V. G. Shvedov, Ya. V. Izdebskaya, A. N. Alekseev, and A. V. Volyar, Tech. Phys. Lett. 10.1134/1.1467293 28, 256 (2002).
42. K. J. Webb and M.-C. Yang, Phys. Rev. E 10.1103/PhysRevE.74.016601 74, 016601 (2006).
43. Z. Bouchal, O. Haderka, and R. Chelechovsky, New J. Phys. 10.1088/1367-2630/7/1/125 7, 125 (2005).
44. D. McGloin, N. B. Simpson, and M. J. Padgett, Appl. Opt. 37, 469 (1998). 10.1364/AO.37.000469
45. E. G. Johnson, J. Stack, and C. Kochler, J. Lightwave Technol. 10.1109/50.923489 19, 753 (2001).
46. C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, J. Opt. A, Pure Appl. Opt. 10.1088/1464-4258/8/11/L01 8, L5 (2006).
47. C. D. Poole, C. D. Townsend, and K. T. Nelson, J. Lightwave Technol. 10.1109/50.79536 9, 598 (1991).
48. H. F. Taylor, J. Lightwave Technol. LT- 2, 617 (1984); 10.1109/JLT.1984.1073659
49. J. N. Blake, B. Y. Kim, and H. J. Shaw, Opt. Lett. 11, 177 (1986).
50. K. S. Lee, Opt. Commun. 10.1016/S0030-4018(01)01552-8 198, 317 (2001);
51. K. S. Lee and T. Erdogan, Electron. Lett. 10.1049/el:20010116 37, 156 (2001);
52. K. S. Lee and T. Erdogan, J. Opt. Soc. Am. A 10.1364/JOSAA.18.001176 18, 1176 (2001).
53. V. I. Kopp and A. Z. Genack, Opt. Lett. 10.1364/OL.28.001876 28, 1876 (2003);
54. V. I. Kopp, V. M. Churikov, J. Singer, N. Chao, D. Neugroschl, and A. Z. Genack, Science 10.1126/science.1097631 305, 74 (2004);
55. V. I. Kopp, V. M. Churikov, and A. Z. Genack, Opt. Lett. 10.1364/OL.31.000571 31, 571 (2006);
56. V. I. Kopp, A. Z. Genack, V. M. Churikov, J. Singer, and N. Chao, Photonics Spectra 38, 78 (2004).
57. V. I. Kopp, V. M. Churikov, G. Zhang, J. Singer, C. W. Draper, N. Chao, D. Neugroschl, and A. Z. Genack, J. Opt. Soc. Am. B 10.1364/JOSAB.24.000A48 24, A48 (2007).
58. C. N. Alexeyev, B. P. Lapin, and M. A. Yavorsky, Phys. Rev. A 10.1103/PhysRevA.78.013813 78, 013813 (2008).
59. S. Oh, K. R. Lee, U.-C. Paek, and Y. Chung, Opt. Lett. 10.1364/OL.29.001464 29, 1464 (2004).
60. W. Shin, B.-A. Yu, Y.-C. Noh, J. Lee, D.-K. Ko, and K. Oh, Opt. Lett. 32, 1214 (2007). 10.1364/OL.32.001214
61. Z. Jiang and J. R. Marciante, J. Opt. Soc. Am. B 10.1364/JOSAB.23.002051 23, 2051 (2006).
62. Z. Menachem and M. Mond, PIER 61, 159 (2006). 10.2528/PIER06020205
63. A. W. Snyder, J. D. Love, Optical Waveguide Theory (Chapman and Hall, London, 1985).
64. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers (McGraw Hill, New York, 1968).
65. C. N. Alexeyev, B. A. Lapin, and M. A. Yavorsky, J. Opt. Soc. Am. B 10.1364/JOSAB.24.002666 24, 2666 (2007).
66. C. N. Alexeyev, A. V. Volyar, and M. A. Yavorsky, in Lasers, Optics and Electro-Optics Research Trends, edited by, Lian I. Chen, (Nova Publishers, New York, 2007), p. 131.
67. A. S. Davydov, Quantum Mechanics (Pergamon, Oxford, 1976).
68. C. N. Alexeyev, B. P. Lapin, and M. A. Yavorsky, Ukr. J. Phys. Opt. 9, 34 (2008). 10.3116/16091833/9/1/34/2008
69. C. N. Alexeyev and M. A. Yavorsky, J. Opt. A, Pure Appl. Opt. 10.1088/1464-4258/9/1/002 9, 6 (2007);
70. K. Yu. Bliokh, Phys. Rev. Lett. 10.1103/PhysRevLett.97.043901 97, 043901 (2006).
71. C. N. Alexeyev and M. A. Yavorsky, J. Opt. A, Pure Appl. Opt. 10.1088/1464-4258/6/9/002 6, 824 (2004).
72. M. Wang, T. Li, and S. Jian, Opt. Express 11, 2403 (2003);
73. A. Galtarossa and C. R. Menyuk, Polarization Mode Dispersion. Optical and Fiber Communications Reports (Springer-Verlag, New-York, 2005).