Half-plane diffraction of Gaussian beams carrying two vortices of equal charges |
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| Authors: | He De Gao Zeng-Hui Lü Bai-Da |
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| Affiliation: | Key Laboratory of Computational Physics of Sichuan Province, Yibin University, Yibin 644000, China; Department of Physical Science and Electronic Engineering, Yibin University, Yibin 644000, China; 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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| Keywords: | two vortices of equal charges diffraction at a half-plane screen dynamic evolution |
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