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Half-plane diffraction of Gaussian beams carrying two vortices of equal charges |
| He De(何德)a)b),Gao Zeng-Hui(高曾辉) a)† , and Lü Bai-Da(吕百达)c) |
| a Key Laboratory of Computational Physics of Sichuan Province, Yibin University, Yibin 644000, China; b Department of Physical Science and Electronic Engineering, Yibin University, Yibin 644000, China; c Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China |
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Abstract This paper derives explicit expressions for the propagation of Gaussian beams carrying two vortices of equal charges m=±1 diffracted at a half-plane screen, which enables the study of the dynamic evolution of vortices in the diffraction field. It shows that there may be no vortices, a pair or several pairs of vortices of opposite charges m=+1, -1 in the diffraction field. Pair creation, annihilation and motion of vortices may appear upon propagation. The off-axis distance additionally affects the evolutionary behaviour. In the process the total topological charge is equal to zero, which is unequal to that of the vortex beam at the source plane. A comparison with the free-space propagation of two vortices of equal charges and a further extension are made.
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Received: 25 February 2011
Revised: 29 April 2011
Accepted manuscript online:
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PACS:
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42.25.-p
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(Wave optics)
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42.25.Bs
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(Wave propagation, transmission and absorption)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10874125) and the Foundation of Education Department of Sichuan Province of China (Grant No. 10ZA063). |
Cite this article:
He De(何德), Gao Zeng-Hui(高曾辉), and Lü Bai-Da(吕百达) Half-plane diffraction of Gaussian beams carrying two vortices of equal charges 2011 Chin. Phys. B 20 104201
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