Intracavity spherical aberration for selective generation of single-transverse-mode Laguerre-Gaussian output with order up to 95

Quan Sheng^{1, 2},
Aihua Wang^{1, 2},
Yuanyuan Ma³,
Sijia Wang⁴,
Meng Wang^{1, 2},
Zheng Shi^{1, 2},
Junjie Liu^{1, 2},
Shijie Fu^{1, 2},
Wei Shi^{1, 2},
Jianquan Yao^{1, 2},
Takashige Omatsu³

1.
School of Precision Instrument and Optoelectronics Engineering, Institute of Laser and Optoelectronics, Tianjin University, Tianjin, 300072, China
2.
Key Laboratory of Optoelectronic Information Science and Technology (Ministry of Education), Tianjin University, Tianjin, 300072, China
3.
Molecular Chirality Research Center, Chiba University, 1-33 Yayoi-cho, Inage-ku, Chiba, 263-8522, Japan
4.
Qian Xuesen Laboratory of Space Technology, China Academy of Space Technology, Beijing, 100094, China

Funds: National Natural Science Foundation of China (61975146 & 62075159); Major Scientific and Technological Innovation Projects of Key R&D Plans in Shandong Province (2019JZZY020206). Takashige Omatsu acknowledges support from KAKENHI Grants-in-Aid (Nos. JP18H03884) of the Japan Society for the Promotion of Science (JSPS) and the Core Research for Evolutional Science and Technology program (No. JPMJCR1903) of the Japan Science and Technology Agency (JST). Sijia Wang acknowledges support from Foundation for Distinguished Young Scholars of China Academy of Space Technology (2021).

摘要

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Abstract: We investigate the generation of single-transverse-mode Laguerre-Gaussian (LG) emission from a diode-end-pumped Nd:YVO₄, 1064 nm laser using mode selection via intracavity spherical aberration (SA). We present both theoretical and experimental investigations, examining the limits of the order (both radial and angular indices) of the LG modes which can be produced, along with the resultant output power. We found that in order to generate single-mode emission of low-order LG modes which have relatively small beam diameters, lenses with shorter focal-length were required (to better differentiate neighboring LG modes via SA). The converse was true of LG modes with high-order. Through appropriate choice of the focal length of the intracavity lens, we were able to generate single-mode, LG_0,±m laser output with angular indices m selectable from 1 to 95, as well as those with non-zero radial indices p of up to 4.
- Laguerre-Gaussian mode /
- Optical vortex laser /
- Spherical aberration /
- High-order mode /
- Mode selection

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参考文献(30)

[1]	Forbes A. Structured light from lasers. Laser Photonics Rev. 2019;13(11):1900140.
[2]	Omatsu T, Miyamoto K, Lee AJ. Wavelength versatile optical vortex lasers. J Opt. 2017;19(12):123002.
[3]	Willner AE, Huang H, Yan Y, Ren Y, Ahmed N, Xie G, Bao C, Li L, Cao Y, Zhao Z, Wang J, Lavery MPJ, Tur M, Ramachandran S, Molisch AF, Ashrafi N, Ashrafi S. Optical communications using orbital angular momentum beams. Adv Opt Photon. 2015;7(1):66–106.
[4]	Forbes A, de Oliveira M, Dennis MR. Structured light. Nat Photonics. 2021;15:253–62.
[5]	Fu S, Zhai Y, Zhang J, Liu X, Song R, Zhou H, Gao C. Universal orbital angular momentum spectrum analyzer for beams. PhotoniX. 2020;1:19.
[6]	Tung JC, Hsieh YH, Omatsu T, Huang KF, Chen YF. Generating laser transverse modes analogous to quantum green’s functions of two-dimensional harmonic oscillators. Photon Res. 2017;5(6):733–9.
[7]	Tung JC, Ma YY, Miyamoto K, Chen YF, Omatsu T. Bottle beam generation from a frequency-doubled Nd:YVO₄ laser. Sci Rep. 2018;8:16576.
[8]	Shen Y, Nape I, Yang X, Fu X, Gong M, Naidoo D, Forbes A. Creation and control of high-dimensional multi-partite classically entangled light. Light-Sci App. 2021;10(5):796–805.
[9]	Chen YF, Tung JC, Hsieh MX, Hsieh YH, Liang HC, Huang KF. Origin of continuous curves and dotted spots in laser transverse modes with geometric structures. Opt Lett. 2019;44(24):5989–92.
[10]	W. Koechner, Solid-state laser engineering, 6th ed. (Semantic Scholar 2006), pp.211–231. https://link.springer.com/book/10.1007%2F0-387-29338-8.
[11]	Song R, Gao C, Zhou H, Fu S. Resonantly pumped Er:YAG vector laser with selective polarization states at 1.6 µm. Opt Lett. 2020;45(16):4626–9.
[12]	Song R, Liu X, Fu S, Gao C. Simultaneous tailoring of longitudinal and transverse mode inside an Er:YAG laser. Chin Opt Lett. 2021;19(11):111404.
[13]	Ito A, Kozawa Y, Sato S. Generation of hollow scalar and vector beams using a spot-defect mirror. J Opt Soc Am A. 2010;27(9):2072–7.
[14]	Lee AJ, Omatsu T, Pask HM. Direct generation of a first-stokes vortex laser beam from a self-raman laser. Opt Express. 2013;21(10):12401–9.
[15]	Zhao Y, Liu Q, Zhou W, Shen D. ~1 mJ pulsed vortex laser at 1645 nm with well-defined helicity. Opt Express. 2016;24(14):15596–602.
[16]	Bisson J-F, Senatsky Y, Ueda K-I. Generation of Laguerre-Gaussian modes in Nd:YAG laser using diffractive optical pumping. Laser Phys Lett. 2005;2(7):327–33.
[17]	Ma Y, Lee AJ, Pask HM, Miyamoto K, Omatsu T. Direct generation of 1108 nm and 1173 nm Laguerre-Gaussian modes from a self-raman Nd:GdVO₄ laser. Opt Express. 2020;28(16):24095–103.
[18]	Yonezawa K, Kozawa Y, Sato S. Generation of a radially polarized laser beam by use of the birefringence of a c-cut Nd:YVO₄ crystal. Opt Lett. 2006;31(14):2151–3.
[19]	Ito A, Kozawa Y, Sato S. Selective oscillation of radially and azimuthally polarized laser beam induced by thermal birefringence and lensing. J Opt Soc Am B. 2009;26(4):708–12.
[20]	Chuang C-H, Ho C-Y, Hsiao Y-C, Chiu C-P, Wei M-D. Selection rule for cavity configurations to generate cylindrical vector beams with low beam quality factor. Opt Express. 2021;29(4):5043–54.
[21]	Chen YF, Lan YP. Dynamics of helical-wave emission in a fiber-coupled diode end-pumped solid-state laser. Appl Phys B. 2001;73(1):11–4.
[22]	Senatsky Y, Bisson J-F, Shelobolin A, Shirakawa A, Ueda K. Circular modes selection in Yb:YAG laser using an intracavity lens with spherical aberration. Laser Phys. 2009;19(5):911–8.
[23]	Senatsky Y, Bission JF, Li J, Shirakawa A, Thirugnanasambandam M, Ueda K. Laguerre-Gaussian modes selection in diode-pumped solid-state laser. Opt Rev. 2012;19(4):201–21.
[24]	Thirugnanasambandam MP, Senatsky Y. Generation of very-high order Laguerre-Gaussian modes in Yb:YAG ceramic laser. Laser Phys Lett. 2010;7(9):637–43.
[25]	Thirugnanasambandam MP, Senatsky Y, Senatsky A, Ueda K. Multi-ring modes generation in Yb:YAG ceramic laser. Opt Mater. 2011;33(5):675–8.
[26]	Wang M, Ma Y, Sheng Q, He X, Liu J, Shi W, Yao J, Omatsu T. Laguerre-Gaussian beam generation via enhanced intracavity spherical aberration. Opt Express. 2021;29(17):27783–90.
[27]	Sheng Q, Wang M, Ma H, Qi Y, Liu J, Xu D, Shi W, Yao J. Continuous-wave long-distributed-cavity laser using cat-eye retroreflectors. Opt Express. 2021;29(21):34269–77.
[28]	Phillips RL, Andrews LC. Spot size and divergence for Laguerre Gaussian beams of any order. Appl Opt. 1983;22(5):643–4.
[29]	Wang J, Yang J-Y, Fazal IM, Ahmed N, Yan Y, Huang H, Ren Y, Yue Y, Dolinar S, Tur M, Wilner AE. Terabit free-space data transmission employing orbital angular momentum multiplexing. Nat Photonics. 2012;6(7):488–96.
[30]	Woerdemann M, Alpmann C, Esseling M, Denz C. Advanced optical trapping by complex beam shaping. Laser Photonics Rev. 2013;7(6):839–54.