Generalization and propagation of spiraling Bessel beams with a helical axicon

doi:10.1088/1674-1056/21/1/014208

中国物理B ›› 2012, Vol. 21 ›› Issue (1): 14208-014208.doi: 10.1088/1674-1056/21/1/014208

Generalization and propagation of spiraling Bessel beams with a helical axicon

刘正君¹, 孙琼阁², 周可雅², 方光宇², 刘树田²

(1)Department of Automation Measurement and Control Engineering, Harbin Institute of Technology, Harbin 150001, China; (2)Department of physics, Harbin Institute of Technology, Harbin 150001, China

收稿日期:2011-07-25 修回日期:2011-08-24 出版日期:2012-01-15 发布日期:2012-01-20
基金资助:
Project supported by the National Basic Research Program of China (Grant No. 2011CB301801), the National Natural Science Foundation of China (Grant Nos. 10974039, 11047153, 10904027, 61008039, and 11104049), the Doctoral Program of Higher Education of Chi

Generalization and propagation of spiraling Bessel beams with a helical axicon

Sun Qiong-Ge(孙琼阁)^a), Zhou Ke-Ya (周可雅)^a), Fang Guang-Yu (方光宇)^a), Liu Zheng-Jun(刘正君)^b), and Liu Shu-Tian (刘树田)^a)†

^a Department of physics, Harbin Institute of Technology, Harbin 150001, China; ^bDepartment of Automation Measurement and Control Engineering, Harbin Institute of Technology, Harbin 150001, China

Received:2011-07-25 Revised:2011-08-24 Online:2012-01-15 Published:2012-01-20
Supported by:
Project supported by the National Basic Research Program of China (Grant No. 2011CB301801), the National Natural Science Foundation of China (Grant Nos. 10974039, 11047153, 10904027, 61008039, and 11104049), the Doctoral Program of Higher Education of Chi

摘要/Abstract

摘要： A generalized type of spiral Bessel beam has been demonstrated by using a spatially displaced helical axicon (HA). The topological charge of the spiraling Bessel beams is determined by the order of the input Laguerre-Gaussian (LG) beam and the topological charge of the HA. The obtained spiraling Bessel beams have an LG type of modulation along their propagation direction and exhibit annihilation-reconstruction properties. Theoretical analysis is presented, including that of the stability, propagation distance, topological charge, and spiraling dynamic characteristics. The mathematical and numerical results show that the propagation distance and helical revolution of the spiraling Bessel beams can be controlled through choosing appropriate radius of the HA.

关键词: Bessel beam, helical axicon, beam propagation, spiral beam

Abstract: A generalized type of spiral Bessel beam has been demonstrated by using a spatially displaced helical axicon (HA). The topological charge of the spiraling Bessel beams is determined by the order of the input Laguerre-Gaussian (LG) beam and the topological charge of the HA. The obtained spiraling Bessel beams have an LG type of modulation along their propagation direction and exhibit annihilation-reconstruction properties. Theoretical analysis is presented, including that of the stability, propagation distance, topological charge, and spiraling dynamic characteristics. The mathematical and numerical results show that the propagation distance and helical revolution of the spiraling Bessel beams can be controlled through choosing appropriate radius of the HA.

Key words: Bessel beam, helical axicon, beam propagation, spiral beam

中图分类号: (Beam characteristics: profile, intensity, and power; spatial pattern formation)

42.60.Jf

42.40.Eq (Holographic optical elements; holographic gratings) 42.25.Bs (Wave propagation, transmission and absorption)

孙琼阁, 周可雅, 方光宇, 刘正君, 刘树田. Generalization and propagation of spiraling Bessel beams with a helical axicon[J]. 中国物理B, 2012, 21(1): 14208-014208.

Sun Qiong-Ge(孙琼阁), Zhou Ke-Ya (周可雅), Fang Guang-Yu (方光宇), Liu Zheng-Jun(刘正君), and Liu Shu-Tian (刘树田) . Generalization and propagation of spiraling Bessel beams with a helical axicon[J]. Chin. Phys. B, 2012, 21(1): 14208-014208.

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Generalization and propagation of spiraling Bessel beams with a helical axicon

Generalization and propagation of spiraling Bessel beams with a helical axicon

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