Optical vortex symmetry breakdown and decomposition of the orbital angular momentum of light beams

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 20, Issue 8, 2003, Pages 1635-1643

  Bekshaev, A Ya ^a   Soskin, M S ^b   Vasnetsov, M V ^b  

^a ODESSA NATIONAL UNIVERSITY   (Ukraine)

^b INSTITUTE OF PHYSICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

FUNCTIONS; LIGHT POLARIZATION; MATRIX ALGEBRA; WAVEFRONTS;

OPTICAL VORTICES;

LIGHT;

EID: 0042932668     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.20.001635     Document Type: Article

References (30)

1. M. V. Vasnetsov and K. Staliunas, eds., Optical Vortices (Nova Science, New York, 1999).
2. L. Allen, M. J. Padgett, and M. Babiker, "Orbital angular momentum of light," Prog. Opt. 39, 291-372 (1999).
3. M. S. Soskin and M. V. Vasnetsov, "Singular optics," Prog. Opt. 42, 219-276 (2001).
4. Yu. A. Anan'ev, Laser Resonators and the Beam Divergence Problem (Hilger, London, 1992).
5. M. E. J. Friese, J. Enger, H. Rubinsztein-Dunlop, and N. Heckenberg, "Optical angular momentum transfer to trapped absorbing particles," Phys. Rev. A 54, 1593-1596 (1996).
6. L. Allen, M. W. Beijersbergen, R. J. C. Spreuw, and J. P. Woerdman, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian modes," Phys. Rev. A 45, 8185-8189 (1992).
7. M. J. Padgett and L. Allen, "The Poynting vector in Laguerre-Gaussian laser modes," Opt. Commun. 121, 36-40 (1995).
8. M. S. Soskin, V. N. Gorshkov, M. V. Vasnetsov, J. T. Malos, and N. R. Heckenberg, "Topological charge and angular momentum of light beams carrying optical vortices," Phys. Rev. A 56, 4064-4075 (1997).
9. G. Molina-Terriza, E. M. Wright, and L. Torner, "Propagation and control of noncanonical optical vortices," Opt. Lett. 26, 163-165 (2001).
10. A. Ya. Bekshaev, M. V. Vasnetsov, V. G. Denisenko, and M. S. Soskin, "Transformation of the orbital angular momentum of a beam with optical vortex in an astigmatic optical system," JETP Letters 75, 127-130 (2002).
11. A. Ya. Bekshaev, "Mechanical properties of the light wave with phase singularity," in Fourth International Conference on Correlation Optics, O. V. Angelsky, ed., Proc. SPIE 3904, 131-139 (1999).
12. A. Ya. Bekshaev and A. Yu. Popov, "Measurement of the orbital angular momentum of an optical beam with the help of space-angle intensity moments," in Selected Papers from Fifth International Conference on Correlation Optics, O. V. Angelsky, ed., Proc. SPIE 4607, 90-98 (2002).
13. M. J. Bastiaans, "Wigner distribution function and its application to first-order optics," J. Opt. Soc. Am. 69, 1710-1716 (1979).
14. Yu. A. Anan'ev and A. Ya. Bekshaev, "Theory of intensity moments for arbitrary light beams," Opt. Spectrosc. 76, 558-568 (1994).
15. E. G. Abramochkin and V. G. Volostnikov, "Light beams with phase singularities: some aspects of analysis and synthesis," in 2nd International Conference on Singular Optics (Optical Vortices): Fundamentals and Applications, M. S. Soskin and M. V. Vasnetsov, eds., Proc. SPIE 4403, 43-48 (2001).
16. A. T. O'Neil, I. MacVicar, L. Allen, and M. J. Padgett, "Intrinsic and extrinsic nature of the orbital angular momentum of a light beam," Phys. Rev. Lett. 88, 053601(4) (2002).
17. G. Molina-Terriza, J. P. Torres, and L. Torner, "Management of the angular momentum of light: preparation of photons in multidimensional vector states of angular momentum," Phys. Rev. Lett. 88, 013601(4) (2002).
18. J. Leach, M. J. Padgett, S. M. Barnett, S. Franke-Arnold, and J. Courtial, "Measuring the orbital angular momentum of a single photon, " Phys. Rev. Lett. 88, 257901(4) (2002).
19. M. W. Beijersbergen, L. Alien, H. E. L. O. van der Veen, and J. P. Woerdman, "Astigmatic laser mode converters and transfer of orbital angular momentum," Opt. Commun. 96, 123-132 (1993).
20. A. Ya. Bekshaev, "Intensity moments of the laser beam formed by superposition of Hermit-Gaussian modes," Fotoelektronika (Odessa) 8, 22-25 (1999); in Russian.
21. R. Bellman, Introduction to Matrix Analysis (McGraw-Hill, New York, 1960).
22. A. E. Siegman, "Handbook of laser beam propagation and beam quality formulas using the spatial-frequency and intensity-moment analysis," (draft version, 7/2/1991). Manuscript available from A. E. Siegman, Stanford University, 550 Junipero Serra Blvd., Stanford, Calif. 94305; e-mail, siegman@stanford.edu.
23. I. Freund, N. Shvartsman, and V. Freilikher, "Optical dislocation network in highly random media," Opt. Commun. 101, 247-264 (1993).
24. M. S. Soskin, M. V. Vasnetsov, and I. V. Basistiy, "Optical wavefront dislocations," in International Conference on Holography and Correlation Optics, O. V. Angelsky, ed., Proc. SPIE 2647, 57-62 (1995).
25. A. Ya. Bekshaev and A. Yu. Popov, "Optical system for Laguerre-Gaussian/Hermite-Gaussian mode conversion," in 2nd International Conference on Singular Optics (Optical Vortices): Fundamentals and Applications, M. S. Soskin and M. V. Vasnetsov, eds., Proc. SPIE 4403, 296-301 (2001).
26. I. V. Basistiy, L. V. Kreminskaya, I. G. Marienko, M. S. Soskin, and M. V. Vasnetsov, "Experimental observation of rotation and diffraction of a "singular" light beam," in International Conference on Singular Optics, M. S. Soskin, ed., Proc. SPIE 3487, 34-38 (1998).
27. I. V. Basistiy, V. Yu. Bazhenov, M. S. Soskin, and M. V. Vasnetsov, "Optics of light beams with screw dislocations," Opt. Commun. 103, 422-428 (1993).
28. G. Indebetouw, "Optical vortices and their propagation," J. Mod. Opt. 40, 73-87 (1993).
29. N. S. Kazak, N. A. Khilo, and A. A. Ryzhevich, "Generation of Bessel light beams under the conditions of internal conical refraction," Quantum Electron. 29, 1020-1024 (1999).
30. J. Arlt, T. Hitomi, and K. Dholakia, "Atom guiding along Laguerre-Gaussian and Bessel light beams," Appl. Phys. B 71, 549-554 (2000).