Propagation properties and M2 factors of a vortex Airy beam |
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| Authors: | Rui-Pin Chen Li-Xin Zhong Qiyang Wu Khian-Hooi Chew |
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| Affiliation: | 1. School of Sciences, Zhejiang A & F University, Lin''an 311300, Zhejiang, China;2. School for Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou 510006, China;3. School of Finance, Zhejiang University of Finance and Economics, Hangzhou 310018, China;4. Department of Electrical and Computer Engineering, Ohio State University, Columbus, OH 43210, USA;5. Department of Physics, Faculty of Science, University of Malaya, Kuala Lumpur 50603, Malaysia |
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| Abstract: | We investigate the propagation properties and M2 factor of a vortex Airy beam. The expression of M2 factor as a function of the modulation parameters ax and ay is analytically obtained. The results indicate that the M2 factor can achieve minimum M2=2.33 when ax=ay=1.026 for the m=1st order vortex Airy beam. For m=2, the M2 factor can achieve minimum M2=7.53 when ax=1.601 and ay=0.529 (or ay=1.601 and ax=0.529). These results indicate that the far field divergence of the beam width in the sense of root-mean-square beam is related to modulation parameters ax and ay, and increases with increasing vortex order. Numerical calculations provide an intuitive physical picture for the effect of the modulation parameters on the propagation of the vortex Airy beam. |
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