Generation of super-high-order petal-like laser beam using Theon-sieve resonator

Xianghe Guan; Junyong Zhang; Yanli Zhang; Jianqiang Zhu

doi:10.3788/COL202018.041404

Journals >Chinese Optics Letters >Volume 18 >Issue 4 >Page 041404 > Article

Chinese Optics Letters
Vol. 18, Issue 4, 041404 (2020)

Generation of super-high-order petal-like laser beam using Theon-sieve resonator

Xianghe Guan^1、2, Junyong Zhang^1、*, Yanli Zhang¹, and Jianqiang Zhu^1、**

Author Affiliations

¹Key Laboratory of High Power Laser and Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China

²Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of Sciences, Beijing 100049, China

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DOI: 10.3788/COL202018.041404 Cite this Article Set citation alerts

Xianghe Guan, Junyong Zhang, Yanli Zhang, Jianqiang Zhu. Generation of super-high-order petal-like laser beam using Theon-sieve resonator[J]. Chinese Optics Letters, 2020, 18(4): 041404 Copy Citation Text

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Abstract

The Laguerre–Gaussian (LG) mode beam has very important applications in many research fields. Here, the Theon sieve is first introduced into the laser resonator to generate petal-like laser beams by coherently superimposing two high-order LG modes. The effectiveness was verified by GLAD software. The petal-like laser beam is derived from the light field redistribution and coherent superposition caused by the diffraction effect of the Theon sieve. The relationship between the order of the petal-like laser and the cavity structures has also been investigated in detail. Light field operation in the laser cavity greatly simplifies the optical structure and is more beneficial to optical diagnostics and imaging.

Keywords

generation petal-like laser beam super-high order Theon sieve

u_{p, l} = \sqrt{\frac{2 p!}{π (p + | l |)!}} \frac{1}{ω (z)} {[\frac{\sqrt{2} r}{ω (z)}]}^{| l |} L_{p}^{| l |} [\frac{2 r^{2}}{ω {(z)}^{2}}] \exp [\frac{- r^{2}}{ω {(z)}^{2}} - \frac{i k r^{2}}{2 R (z)}] \times \exp [- i (2 p + | l | + 1) \arctan (\frac{z}{z_{R}})] \exp (- i l Φ),

(1)

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u_{0, \pm l} = u_{0, + l} + u_{0, - l} = \sqrt{\frac{2 p!}{π (p + | l |)!}} \frac{1}{ω (z)} {[\frac{\sqrt{2} r}{ω (z)}]}^{| l |} \exp [\frac{- r^{2}}{ω {(z)}^{2}} - \frac{i k r^{2}}{2 R (z)}] \times \exp [- i (| l | + 1) \arctan (\frac{z}{z_{R}})] \exp (- i l Φ) .

(2)

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Xianghe Guan, Junyong Zhang, Yanli Zhang, Jianqiang Zhu. Generation of super-high-order petal-like laser beam using Theon-sieve resonator[J]. Chinese Optics Letters, 2020, 18(4): 041404

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