The effect of astigmatism on the diffraction of a vortex carrying beam with a Gaussian background

Journal of Optics A: Pure and Applied Optics

Volumn 9, Issue 5, 2007, Pages

  Singh, Rakesh Kumar ^a   Senthilkumaran, P ^a   Singh, Kehar ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY DELHI   (India)

Author keywords

Astigmatism; Coma; Encircled energy; Intensity distribution; Laguerre Gaussian beam; Topological charge; Vortex

Indexed keywords

DIFFRACTION; ELONGATION; GAUSSIAN BEAMS; TOPOLOGY;

ASTIGMATISM; ENCIRCLED ENERGY; INTENSITY DISTRIBUTION; LAGUERRE-GAUSSIAN BEAM; TOPOLOGICAL CHARGE; VORTEX;

OPTICAL DEVICES;

EID: 34248206344     PISSN: 14644258     EISSN: 17413567     Source Type: Journal    
DOI: 10.1088/1464-4258/9/5/019     Document Type: Article

References (47)

1. Freund I and Shvartsman N 1994 Wave-field phase singularities: the sign principle Phys. Rev. A 50 5164-72
2. Basistiy I V, Soskin M S and Vasnetsov M V 1995 Optical wavefront dislocations and their properties Opt. Commun. 119 604-12
3. Allen L, Barnett S M and Padgett M J (ed) 2003 Optical Angular Momentum (Bristol: Institute of Physics Publishing)
4. * laser modes J. Opt. Soc. Am. 73 1018-21
5. Abramochkin E and Volostinokov V 1991 Beam transformations and nontransformed beams Opt. Commun. 83 123-35
6. Siegman A E 1986 Lasers (Oxford: Oxford University Press)
7. Heckenberg N R, McDuff R, Smith C P and White A G 1992 Generation of optical phase singularities by computer-generated holograms Opt. Lett. 17 221-3
8. Beijersbergen M W, Coerwinkel R P C, Kristiensen M and Woerdma J P 1994 Helical-wavefront laser beams produced with a spiral phaseplate Opt. Commun. 112 321-7
9. Lee W M, Ahluwalia B P S, Yuan X-C, Cheong W C and Dholakia K 2005 Optical steering of high and low index microparticles by manipulating an off-axis optical vortex J. Opt. A: Pure Appl. Opt. 7 1-6
10. Gahagan K T and Swartzlander G A Jr 1999 Simultaneous trapping of low-index and high-index microparticles observed with an optical-vortex trap J. Opt. Soc. Am. B 16 533-7
11. Rohrbach A and Stelzer E H K 2002 Trapping forces, force constants, and potential depths for dielectric spheres in the presence of spherical aberrations Appl. Opt. 41 2494-507
12. Roichman Y, Waldron A, Gardel E and Grier D G 2006 Optical traps with geometric aberrations Appl. Opt. 45 3425-9
13. Senthilkumaran P 2003 Optical phase singularities in detection of laser beam collimation Appl. Opt. 42 6314-20
14. Furhapter S, Jesacher A, Bernet S and Ritsch-Marte M 2005 Spiral interferometry Opt. Lett. 30 1953-5
15. Davis J A, McNamara D E, Cottrell D M and Campos J 2000 Image processing with the radial Hilbert transform: theory and experiments Opt. Lett. 25 99-101
16. Furhapter S, Jesacher A, Bernet S and Ritsch-Marte M 2005 Spiral phase contrast imaging in microscopy Opt. Express 13 689-93
17. Jesacher A, Furhapter S, Bernet S and Ritsch-Marte M 2005 Shadow effects in spiral phase contrast microscopy Phys. Rev. Lett. 94 233902-1-4
18. Swartzlander G A Jr 2001 Peering into darkness with a vortex spatial filter Opt. Lett. 26 497-9
19. Lee J H, Foo G, Johnson E G and Swartzlander G A Jr 2006 Experimental verification of an optical vortex coronagraph Phys. Rev. Lett. 97 053901
20. Davis J A, Haavig L L and Cottrell D M 1997 Bessel function output from an optical correlator Appl. Opt. 36 2376-9
21. Guo C-S, Han Y J, Xu J-B and Ding J 2006 Radial Hilbert transform with Laguerre-Gaussian spatial filters Opt. Lett. 31 1394-6
22. Indebetouw G 1993 Optical vortices and their propagation J. Mod. Opt. 40 73-87
23. Rozas D, Law C T and Swartzlander G A 1997 Propagation dynamics of optical vortices J. Opt. Soc. Am. B 14 3054-65
24. Flossmann F, Schwarz U T and Maier M 2005 Propagation dynamics of optics vortices in Laguerre-Gaussian beams Opt.Commun. 250 218-30
25. Mei Z, Zhao D and Gu J 2004 Propagation of elegant Laguerre-Gaussian beams through an annular apertured paraxial ABCD optical system Opt. Commun. 240 337-43
26. 2 factor of hard-edged diffracted Laguerre-Gaussian beams Optik 116 337-42
27. Cai X and He S 2006 Propagation of a Laguerre-Gaussian beam through a slightly misaligned paraxial optical system Appl. Phys. B 84 493-500
28. Kotlyar V V, Almazov A A, Khonina S N, Soifer V A, Elfstrom H and Turunen J 2005 Generation of phase singularity through diffracting a plane or Gaussian beam by a spiral phase plate J. Opt. Soc. Am. A 22 849-61
29. Kotlyar V V, Khonina S N, Almazov A A, Soifer V A, Jefimovs K and Turunen J 2006 Elliptical Laguerre-Gaussian beams J. Opt. Soc. Am. A 23 43-56
30. Kotlyar V V, Khonina S N, Kovalev A A, Soifer V A, Elfstrom E and Turunen J 2006 Diffraction of a plane, finite-radius wave by a spiral phase plate Opt. Lett. 31 1597-9
31. Kotlyar V V, Kovalev A A, Khonina S N, Skidanov R V, Soifer V A, Elfstrom H, Tossavainen N and Turunen J 2006 Diffraction of conic and Gaussian beams by a spiral phase plate Appl. Opt. 45 2656-65
32. De M 1956 The influence of astigmatism on the response function of an optical system Proc. R. Soc. A 233 91
33. Kapany N S and Burke J J 1962 Various image assesement parameters J. Opt. Soc. Am. 52 1351-61
34. Barakat R and Houston A 1963 Reciprocity relation between the transfer function and total illuminance I J. Opt. Soc. Am. 53 1244-9
35. Barakat R and Houston A 1965 Transfer function of an optical system in the presence of off-axis aberrations J. Opt. Soc. Am. 55 1142-8
36. Mahajan V N 2001 Optical Imaging and Aberrations, Part 2 Wave and Diffraction Optics (Bellingham, WA: SPIE Optical Engineering Press)
37. Mahajan V N 2005 Strehl ratio of a Gaussian beam J. Opt. Soc. Am. A 22 1824-33
38. Gupta A K and Singh K 1978 Partially coherent far field diffraction in the presence of primary astigmatism Can. J. Phys. 56 1539-44
39. Bekshaev A Ya, Vasnetsov M V, Denisenko V G and Soskin M S 2002 Transformation of the orbital angular momentum of a beam with optical vortex in an astigmatic optical system JETP Lett. 75 127-58
40. 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
41. 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
42. Wada A, Ohtani T, Miyamoto Y and Takeda M 2005 Propagation analysis of the Laguerre-Gaussian beam with astigmatism J. Opt. Soc. Am. A 22 2746-55
43. Wada A, Ohminato H, Yonemura T, Miyamoto Y and Takeda M 2005 Effect of comatic aberration on the propagation characteristics of Laguerre-Gaussian beams Opt. Rev. 12 451-5
44. Lin J, Yuan X-C, Tao S H and Burge R E 2006 Variable-radius focused optical vortex with suppressed sidelobes Opt. Lett. 31 1600-2
45. Courtial J and Padgett M J 2000 Limit to the orbital angular momentum per unit energy in a light beam that can be focused onto a small particle Opt. Commun. 173 269-74
46. Bokor N and Davidson N 2006 Generation of a hollow spherical spot by 4π focusing of a radially polarized Laguerre-Gaussian beam Opt. Lett. 31 149-51
47. Torok P and Munro P R T 2004 The use of Gauss-Laguerre vector beams in STED microscopy Opt. Express 12 3605-17