Oblique section of a paraxial light beam: Criteria for azimuthal energy flow and orbital angular momentum

Journal of Optics A: Pure and Applied Optics

Volumn 11, Issue 9, 2009, Pages

  Bekshaev, A Y ^a  

^a ODESSA NATIONAL UNIVERSITY   (Ukraine)

Author keywords

Centre of gravity; Intensity moments; Oblique cross section; Orbital angular momentum; Paraxial light beam; Transverse energy flow; Transverse shift

Indexed keywords

CENTRE OF GRAVITY; INTENSITY MOMENTS; OBLIQUE CROSS SECTION; ORBITAL ANGULAR MOMENTUM; PARAXIAL LIGHT BEAM; TRANSVERSE ENERGY FLOW; TRANSVERSE SHIFT;

ANGULAR MOMENTUM; DIFFRACTION;

LIGHT;

EID: 70449411620     PISSN: 14644258     EISSN: 17413567     Source Type: Journal    
DOI: 10.1088/1464-4258/11/9/094003     Document Type: Article

References (38)

1. Anan'ev Yu A 1992 Laser Resonators and the Beam Divergence Problem (London: Hilger)
2. Born M and Wolf E 1968 Principles of Optics (Oxford: Pergamon)
3. Imbert C 1972 Calculation and experimental proof of the transverse shift induced by total internal reflection of a circularly polarized light beam Phys. Rev. D 5 787-96
4. Nasalski W 2001 Three-dimensional beam reflection at dielectric interfaces Opt. Commun. 197 217-33
5. Okuda H and Sasada H 2008 Significant deformations and propagation variations of Laguerre-Gaussian beams reflected and transmitted at a dielectric interface J. Opt. Soc. Am. A 25 881-90
6. Bliokh K Y and Bliokh Y P 2007 Polarization, transverse shifts, and angular momentum conservation laws in partial reflection and refraction of an electromagnetic wavepacket Phys. Rev. E 75 066609
7. Allen L, Padgett M J and Babiker M 1999 Orbital angular momentum of light Prog. Opt. 39 291-372
8. Soskin M S and Vasnetsov M V 2001 Singular optics Prog. Opt. 42 219-76
9. Bastiaans M J 1979 Wigner distribution function and its application to first-order optics J. Opt. Soc. Am. 69 1710-6
10. Simon R and Mukunda N J 2000 Optical phase space, Wigner representation, and invariant quality parameters J. Opt. Soc. Am. A 17 2440-63
11. Anan'ev Yu A and Bekshaev A Ya 1994 Theory of intensity moments for arbitrary light beams Opt. Spectrosc. 76 558-68
12. Haus H A 1984 Waves and Fields in Optoelectronics (Englewood Cliffs, NJ: Prentice-Hall)
13. Soroko L M 1980 Holography and Coherent Optics (New York: Plenum)
14. Goodman J W 1985 Statistical Optics (New York: Wiley)
15. Ishimaru A 1978 Wave Propagation and Scattering in Random Media vol 1 (New York: Academic)
16. Marcuse D 1972 Light Transmission Optics (New York: Van Nostrand-Reinhold)
17. Bastiaans M J 1989 Propagation laws for the second-order moments of the Wigner distribution function in first-order optical systems Optik 82 173-81
18. Bekshaev A Ya, Soskin M S and Vasnetsov M V 2003 Optical vortex symmetry breakdown and decomposition of the orbital angular momentum of light beams J. Opt. Soc. Am. A 20 1635-43
19. Bekshaev A Ya, Soskin M S and Vasnetsov M V 2004 Transformation of higher-order optical vortices upon focusing by an astigmatic lens Opt. Commun. 241 237-47
20. Marienko I G, Soskin M S and Vasnetsov M V 1999 Diffraction of optical vortices Proc. SPIE 3904 27-34
21. Bekshaev A Ya and Popov A Yu 2002 Method of light beam orbital angular momentum evaluation by means of space-angle intensity moments Ukr. J. Phys. Opt. 3 249-57
22. Gerrard A and Birch J M 1978 Introduction to Matrix Method in Optics (London: Wiley)
23. Anan'ev Yu A and Bekshaev A Ya 1995 Changes in the light beam structure induced by transmission through dispersive elements. I. General theory Opt. Spectrosc. 78 729-36
24. Anan'ev Yu A and Bekshaev A Ya 1996 Changes in the light beam structure induced by transmission through dispersive elements. II. Special cases Opt. Spectrosc. 80 445-52
25. Goos F and Hänchen H 1947 Ein neuer und fundamentaler Versuch zur total reflection Ann. Phys. 436 333-46
26. Artmann K 1948 Berechnung der Seitenversetzung des totalreflektierten Strahles Ann. Phys. 437 87-102
27. Fedoseyev V G 2001 Spin-independent transverse shift of the centre of gravity of a reflected and of a refracted light beam Opt. Commun. 193 9-18
28. Dasgupta R and Gupta P K 2006 Experimental observation of spin-independent transverse shift of the centre of gravity of a reflected Laguerre-Gaussian light beam Opt. Commun. 257 91-6
29. Fedoseyev V G 2008 Transformation of the orbital angular momentum at the reflection and transmission of a light beam on a plane interface J. Phys. A: Math. Theor. 41 505202
30. Bliokh K Y, Shadrivov I V and Kivshar Y S 2008 Goos-Hänchen and Imbert-Fedorov shifts of polarized vortex beams arXiv:0810.2855
31. Bazhenov V Yu, Vasnetsov M V and Soskin M S 1990 Laser beams with screw dislocations in their wavefronts JETP Lett. 52 429-31
32. Heckenberg N R, McDuff R, Smith C P, Rubinstein-Dunlop H and Wegener M J 1992 Laser beams with phase singularities Opt. Quantum Electron. 24 S951-62
33. Bekshaev A Ya and Karamoch A I 2008 Spatial characteristics of vortex light beams produced by diffraction gratings with embedded phase singularity Opt. Commun. 281 1366-74
34. Bekshaev A Ya and Karamoch A I 2008 Displacements and deformations of a vortex light beam produced by the diffraction grating with embedded phase singularity Opt. Commun. 281 3597-610
35. Fedoseyev V G 1991 Lateral displacement of the light beam at reflection and refraction Opt. Spektrosk. 71 829-34
36. Fedoseyev V G 1991 Opt. Spectrosc. (USSR) 71 483 (Engl. Transl.)
37. Fedoseyev V G 1991 Opt. Spektrosk. 71 992-7
38. Fedoseyev V G 1991 Opt. Spectrosc. (USSR) 71 570 (Engl. Transl.)