Half-plane diffraction in the case of Gaussian beams containing an optical vortex

Optics Communications

Volumn 175, Issue 4, 2000, Pages 289-294

  Masajada, Jan ^a  

^a WROCLAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; WAVEFRONTS;

OPTICAL VORTICES;

ELECTROMAGNETIC WAVE DIFFRACTION;

EID: 0033906825     PISSN: 00304018     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0030-4018(00)00470-3     Document Type: Article

References (23)

1. Babiker M., Lembessis V.E., Lai W.K., Allen L. Doppler cooling of ion cyclotron motion in counter-propagating Laguerre-Gaussian beams. Opt. Commun. 123:1996;523-529.
2. Power W.L., Allen L., Babiker M., Lembessis V.E. Atomic motion in light beams possessing orbital angular momentum. Phys. Rev. A. 52:1995;479-488.
3. Gahagan K.T., Swartzlander G.A. Jr. Simultaneous trapping of low-index and high-index microparticles observed with an optical-vortex trap. J. Opt. Soc. Am. B. 15:1998;533-537.
4. Totzeck M., Tiziani H.J. Phase singularities in 2D diffraction fields and interference microscopy. Opt. Commun. 138:1997;365-382.
5. Freund I., Shvartsman N. Wave-field phase singularities: the sign principle. Phys. Rev. A. 50:1994;5164-5172.
6. Basistiy I.V., Soskin M.S., Vasnetsov M.V. Optical wavefront dislocation and their properties. Opt. Commun. 119:1995;604-612.
7. Allen L., Beijersbergen M.W., Spreeuw R.J.C., Woerdman J.P. Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. Phys. Rev. A. 45:1992;8185-8189.
8. Padgett M.J., Allen L. The angular momentum of light: optical spaners and the rotational frequency shift. Opt. Quantum Electron. 31:1999;1-12.
9. Freund I. Optical vortices in Gaussian random wave fields: statistical probability densities. J. Opt. Soc. Am. A. 11:1994;1644-1652.
10. Pearson J.E., McGill T.C., Kurtin S., Yariv A. Diffraction of Gaussian laser beams by semi-infinite plane. J. Opt. Soc. Am. 59:1969;1440-1445.
11. Hewlett S.J., Barnett S.M., Wilson T. Image intensity at the edge of a straight edge object. J. Mod. Opt. 37:1990;2017-2024.
12. Stacey A. Exact diffraction for a half plane using a partially coherent source. J. Mod. Opt. 40:1993;349-355.
13. P.C. Clemmow, The Plane Wave Spectrum Representation of Electromagnetic Fields, IEEE Press, 1996.
14. J.J. Stamnes, Waves in Focal Regions, Adam Hilger, Bristol, 1986.
15. Takenaka T., Fukumitsu O. Asymptotic representation of the boundary-diffraction wave for a three-dimensional Gaussian beam incident upon a Kirchhof half-screen. J. Opt. Soc. Am. 72:1982;331-336.
16. Green A.C., Bertoni H.L., Felsen L.B. Properties of the shadow cast by a half-screen when illuminated by a Gaussian beam. J. Opt. Soc. Am. 69:1979;1503-1508.
17. Kogelnik H., Li T. Laser beams and resonators. Appl. Opt. 10:1966;1550-1567.
18. Soskin M.S., Gorshkov V.N., Vasnetsov M.V. Topological charge and angular momentum of light beams carrying optical vortex. Phys. Rev. A. 56:1997;4064-4075.
19. Indebetouw G. Optical vortices and their propagation. J. Mod. Opt. 40:1993;73-87.
20. Freund I., Shvartsman N., Freilikher V. Optical dislocation networks in highly random media. Opt. Commun. 101:1993;247-264.
21. W. Goodman, Introduction to Fourier Optics, McGraw-Hill, New York, 1968.
22. A. Erdèlyi, et al., Tables of Integral Transforms, McGraw-Hill, New York, 1953.
23. He H., Heckenberg N.R., Rubinsztein-Dunlop H. Optical particle trapping with higher-order doughnut beams produced using high efficiency computer generated holograms. J. Mod. Opt. 42:1995;217-223.