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For Laguerre Gaussian vortex beam, the analytical expression of the electric field is derived in the observation plane after propagation. Theoretical analysis shows that the definition of Gaussian beam is unsuitable to describing the size of the laguerre Gaussian vortex beam while propagation. It is more convenient that the radius of the point where intensity is maximum is used to define the vortex beam after propagation. Besides the beam broadening effect induced by diffraction, phase distribution exhibits special change in the observation plane. Isophase line changes from radial to arc. If the topological charge of the vortex beam is positive, the isophase line will bend clockwise after propagation; if the topological charge of the vortex beam is negative, the isophase line will bend anticlockwise.
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Keywords:
- vortex beam /
- propagation /
- size of beam /
- phase distribution
[1] Babiker M, Bennett C R, Andrews D L, Davila Romero L C 2002 Phys. Rev. Lett. 89 143601
[2] Rao L Z, Pu J X 2007 J. Opt. Soc. Am. A 24 2242
[3] Allen L, Beijersbergen M W, Spreenw R J C, Woerdman J P 1992 Phys. Rev. A 45 8185
[4] Chen K, Zhang H Y, Lü B D 2010 Chin. Phys. B 59 246
[5] Gahagan K T, Swartzlander Jr G A 1998 J. Opt. Soc. Am. B 15 524
[6] Lu X H, Huang H Q, Zhao C L, Wang J F, Chen H 2008 Laser & Optoelectronics Progress 45 50 (in Chinese) [陆璇辉、 黄慧琴、 赵承良、 王将峰、 陈 和 2008 激光与光电子学进展 45 50]
[7] Li Y Y, Chen Z Y, Liu H, Pu J X 2010 Acta Phys. Sin. 59 1743 (in Chinese) [李阳月、 陈子阳、 刘 辉、 蒲继雄 2010 59 1734]
[8] Zhang W, Kuzyk Mark G 2006 Appl. Phys. Lett. 89 101103
[9] Mandel L, Wolf E 1995 Optical Coherence and Quantum Optics (Cambridge:Cambridge Univ. Press) p289
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[1] Babiker M, Bennett C R, Andrews D L, Davila Romero L C 2002 Phys. Rev. Lett. 89 143601
[2] Rao L Z, Pu J X 2007 J. Opt. Soc. Am. A 24 2242
[3] Allen L, Beijersbergen M W, Spreenw R J C, Woerdman J P 1992 Phys. Rev. A 45 8185
[4] Chen K, Zhang H Y, Lü B D 2010 Chin. Phys. B 59 246
[5] Gahagan K T, Swartzlander Jr G A 1998 J. Opt. Soc. Am. B 15 524
[6] Lu X H, Huang H Q, Zhao C L, Wang J F, Chen H 2008 Laser & Optoelectronics Progress 45 50 (in Chinese) [陆璇辉、 黄慧琴、 赵承良、 王将峰、 陈 和 2008 激光与光电子学进展 45 50]
[7] Li Y Y, Chen Z Y, Liu H, Pu J X 2010 Acta Phys. Sin. 59 1743 (in Chinese) [李阳月、 陈子阳、 刘 辉、 蒲继雄 2010 59 1734]
[8] Zhang W, Kuzyk Mark G 2006 Appl. Phys. Lett. 89 101103
[9] Mandel L, Wolf E 1995 Optical Coherence and Quantum Optics (Cambridge:Cambridge Univ. Press) p289
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