Generation and characterization of customized Laguerre−Gaussian beams with arbitrary profiles

doi:10.1007/s11467-024-1426-3

Front. Phys.

2024, Vol. 19

Issue (4) : 42205 https://doi.org/10.1007/s11467-024-1426-3

Generation and characterization of customized Laguerre−Gaussian beams with arbitrary profiles

Chengyuan Wang¹(

), Yun Chen^1,², Jinwen Wang¹, Xin Yang¹, Hong Gao¹(

), Fuli Li¹

¹. Ministry of Education Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, Shaanxi Province Key Laboratory of Quantum Information and Quantum Optoelectronic Devices, School of Physics, Xi’an Jiaotong University, Xi’an 710049, China
². Department of Physics, Huzhou University, Huzhou 313000, China

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Abstract

We experimentally demonstrate the generation of customized Laguerre−Gaussian (LG) beams whose intensity maxima are localized around any desired curves. The principle is to act with appropriate algebraic functions on the angular spectra of LG beams. We characterize the propagation properties of these beams and compare them with non-diffraction caustic beams possessing the same intensity profiles. The results manifest that the customized-LG beams can maintain their profiles during propagation and suffer less energy loss than the non-diffraction caustic beams, and hence are able to propagate a longer distance. Moreover, the customized-LG beam exhibits self-healing ability when parts of their bodies are blocked. This new structure beam has potential applications in areas such as optical communication, soliton routing and steering, and optical tweezing.

Keywords light manipulation wave propagation invariant optical fields

Corresponding Author(s): Chengyuan Wang,Hong Gao

Issue Date: 28 June 2024

Cite this article:

Chengyuan Wang,Yun Chen,Jinwen Wang, et al. Generation and characterization of customized Laguerre−Gaussian beams with arbitrary profiles[J]. Front. Phys. , 2024, 19(4): 42205.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-024-1426-3
https://academic.hep.com.cn/fop/EN/Y2024/V19/I4/42205

Fig.1 (a) Schematic diagram of generating customized-LG beams. (b) Intensity and phase distribution of modulated spatial spectrum

A U ~ 0

(first row) and the corresponding customized beams

U

(second row) with shapes of “sheet”, “sinusoid”, and “XJ”, respectively. Note that two types of seed beams are used here, with columns 1, 3, and 5 corresponding to BG beam and columns 2, 4, and 6 corresponding to LG beam.

Fig.2 Intensity distributions of the experimentally generated (a) BG and (b) LG beams. (b, d) are the beams’ sectional propagation trajectories from

z = 0

z = z max = 16

cm, and (e, f) are the intensity profiles of the two beams in the central region at propagation distances of

z = 0

and

z = 16

cm, respectively.

Fig.3 Experimental obtained normalized intensity volume for (a−c) customized-BG and (d−f) customized-LG beams. (g−i) Intensity and cross-correlation function variations against

z

of the customized-BG and customized-LG beams.

Fig.4 Self-healing process of the “XJ” shaped customized-LG beam. The first row is the experiment result and the second row is the corresponding theoretical simulation.

1	Rubinsztein-Dunlop H., Forbes A., V. Berry M., R. Dennis M., L. Andrews D., Mansuripur M., Denz C., Alpmann C., Banzer P., Bauer T., Karimi E., Marrucci L., Padgett M., Ritsch-Marte M., M. Litchinitser N., P. Bigelow N., Rosales-Guzmán C., Belmonte A., P. Torres J., W. Neely T., Baker M., Gordon R., B. Stilgoe A., Romero J., G. White A., Fickler R., E. Willner A., Xie G., McMorran B., M. Weiner A.. Roadmap on structured light. J. Opt., 2016, 19(1): 013001 https://doi.org/10.1088/2040-8978/19/1/013001
2	Forbes A., de Oliveira M., R. Dennis M.. Structured light. Nat. Photonics, 2021, 15(4): 253 https://doi.org/10.1038/s41566-021-00780-4
3	Hansen A., Justin T., P Bigelow Schultz. Singular atom optics with spinor Bose–Einstein condensates. Optica, 2016, 3(4): 355 https://doi.org/10.1364/OPTICA.3.000355
4	Yang Y., Ren Y., Chen M., Arita Y., Rosales-Guzmán C.. Optical trapping with structured light: A review. Adv. Photonics, 2021, 3(3): 034001 https://doi.org/10.1117/1.AP.3.3.034001
5	Otte E., Denz C.. Optical trapping gets structure: Structured light for advanced optical manipulation. Appl. Phys. Rev., 2020, 7(4): 041308 https://doi.org/10.1063/5.0013276
6	Baumgartl J., Mazilu M., Dholakia K.. Optically mediated particle clearing using airy wavepackets. Nat. Photonics, 2008, 2(11): 675 https://doi.org/10.1038/nphoton.2008.201
7	Forbes A., de Oliveira M., R. Dennis M.. Light-sheet microscopy using an airy beam. Nat. Methods, 2014, 11(5): 541 https://doi.org/10.1038/nmeth.2922
8	P. Torres J.. Multiplexing twisted light. Nat. Photonics, 2012, 6(7): 420 https://doi.org/10.1038/nphoton.2012.154
9	E. Willner A., Pang K., Song H., Zou K., Zhou H.. Orbital angular momentum of light for communications. Appl. Phys. Rev., 2021, 8(4): 041312 https://doi.org/10.1063/5.0054885
10	Wang J., Castellucci F., Franke-Arnold S.. Vectorial light–matter interaction: Exploring spatially structured complex light fields. AVS Quantum Sci., 2020, 2(3): 031702 https://doi.org/10.1116/5.0016007
11	K. Wu Z., Guo H., Wang W., Z. Gu Y.. Evolution of finite energy airy beams in cubic–quintic atomic vapor system. Front. Phys., 2018, 13(1): 134201 https://doi.org/10.1007/s11467-017-0707-5
12	Niu F., Zhang H., Yuan J., Xiao L., Jia S., Wang L.. Photonic graphene with reconfigurable geometric structures in coherent atomic ensembles. Front. Phys., 2023, 18(5): 52304 https://doi.org/10.1007/s11467-023-1294-2
13	Wang C., Yu Y., Chen Y., Cao M., Wang J., Yang X., Qiu S., Wei D., Gao H., Li F.. Efficient quantum memory of orbital angular momentum qubits in cold atoms. Quantum Sci. Technol., 2021, 6(4): 045008 https://doi.org/10.1088/2058-9565/ac120a
14	Chen Y., Wang J., Wang C., Zhang S., Cao M., Franke-Arnold S., Gao H., Li F.. Phase gradient protection of stored spatially multimode perfect optical vortex beams in a diffused rubidium vapor. Opt. Express, 2021, 29(20): 31582 https://doi.org/10.1364/OE.439716
15	Wang C., Chen Y., Jiang Z., Yu Y., Cao M., Wei D., Gao H., Li F.. Experimental investigation of light storage of diffraction-free and quasi-diffraction-free beams in hot atomic gas cell. Front. Phys., 2022, 17(2): 22503 https://doi.org/10.1007/s11467-021-1113-6
16	Wang Y., Chen Y., Zhang Y., Chen H., Yu S.. Generalised Hermite–Gaussian beams and mode transformations. J. Opt., 2016, 18(5): 055001 https://doi.org/10.1088/2040-8978/18/5/055001
17	Allen L., W. Beijersbergen M., J. C. Spreeuw R., P. Woerdman J.. Orbital angular momentum of light and the transformation of Laguerre–Gaussian laser modes. Phys. Rev. A, 1992, 45(11): 8185 https://doi.org/10.1103/PhysRevA.45.8185
18	A. Bandres M., C. Gutiérrez-Vega J.. Ince–Gaussian beams. Opt. Lett., 2004, 29(2): 144 https://doi.org/10.1364/OL.29.000144
19	Yu Y., Chen Y., Wang C., Wang J., Sun Z., Cao M., Gao H., Li F.. Optical storage of Ince–Gaussian modes in warm atomic vapor. Opt. Lett., 2021, 46(5): 1021 https://doi.org/10.1364/OL.414762
20	Durnin J., J. Miceli J., H. Eberly J.. Diffraction-free beams. Phys. Rev. Lett., 1987, 58(15): 1499 https://doi.org/10.1103/PhysRevLett.58.1499
21	McLaren M., Agnew M., Leach J., S. Roux F., J. Padgett M., W. Boyd R., Forbes A.. Entangled Bessel–Gaussian beams. Opt. Express, 2012, 20(21): 23589 https://doi.org/10.1364/OE.20.023589
22	Chu X., Sun Q., Wang J., Lü P., Xie W., Xu X.. Generating a Bessel–Gaussian beam for the application in optical engineering. Sci. Rep., 2015, 5(1): 18665 https://doi.org/10.1038/srep18665
23	Zhi Z., Na Q., Xie Q., Chen B., Li Y., Liu X., Li X., Wang L., Lo G., Song J.. On-chip generation of Bessel–Gaussian beam via concentrically distributed grating arrays for long-range sensing. Light Sci. Appl., 2023, 12(1): 92 https://doi.org/10.1038/s41377-023-01133-2
24	C. Gutiérrez-Vega J., D. Iturbe-Castillo M., Chávez-Cerda S.. Alternative formulation for invariant optical fields: Mathieu beams. Opt. Lett., 2000, 25(20): 1493 https://doi.org/10.1364/OL.25.001493
25	A. Bandres M., C. Gutiérrez-Vega J., Chávez-Cerda S.. Parabolic nondiffracting optical wave fields. Opt. Lett., 2004, 29(1): 44 https://doi.org/10.1364/OL.29.000044
26	A. Sanchez-Serrano P., Wong-Campos D., Lopez-Aguayo S., C. Gutiérrez-Vega J.. Engineering of nondiffracting beams with genetic algorithms. Opt. Lett., 2012, 37(24): 5040 https://doi.org/10.1364/OL.37.005040
27	López-Aguayo S., V. Kartashov Y., A. Vysloukh V., Torner L.. Method to generate complex quasinondiffracting optical lattices. Phys. Rev. Lett., 2010, 105(1): 013902 https://doi.org/10.1103/PhysRevLett.105.013902
28	Yan W., Gao Y., Yuan Z., Wang Z., C. Ren Z., L. Wang X., Ding J., T. Wang H.. Non-diffracting and self-accelerating Bessel beams with on-demand tailored intensity profiles along arbitrary trajectories. Opt. Lett., 2021, 46(7): 1494 https://doi.org/10.1364/OL.418928
29	Abramochkin E., Volostnikov V.. Spiral-type beams. Opt. Commun., 1993, 102(3-4): 336 https://doi.org/10.1016/0030-4018(93)90406-U
30	Abramochkin E., Volostnikov V.. Spiral-type beams: Optical and quantum aspects. Opt. Commun., 1996, 125(4-6): 302 https://doi.org/10.1016/0030-4018(95)00640-0
31	Volyar A., Akimova Y.. Structural stability of spiral vortex beams to sector perturbations. Appl. Opt., 2021, 60(28): 8865 https://doi.org/10.1364/AO.435420
32	Zannotti A., Denz C., A. Alonso M., R. Dennis M.. Shaping caustics into propagation-invariant light. Nat. Commun., 2020, 11(1): 3597 https://doi.org/10.1038/s41467-020-17439-3
33	Mendoza-Hernández J.. Customizing structured light beams with a differential operator. Opt. Lett., 2021, 46(20): 5232 https://doi.org/10.1364/OL.438129
34	Martinez-Castellanos I., C. Gutiérrez-Vega J.. Shaping optical beams with non-integer orbital-angular momentum: A generalized differential operator approach. Opt. Lett., 2015, 40(8): 1764 https://doi.org/10.1364/OL.40.001764
35	Mendoza-Hernández J., Szatkowski M., F. Ferrer-Garcia M., C. Gutiérrez-Vega J., Lopez-Mago D.. Generation of light beams with custom orbital angular momentum and tunable transverse intensity symmetries. Opt. Express, 2019, 27(18): 26155 https://doi.org/10.1364/OE.27.026155
36	Čižmár T., Dholakia K.. Tunable Bessel light modes: Engineering the axial propagation. Opt. Express, 2009, 17(18): 15558 https://doi.org/10.1364/OE.17.015558
37	Mendoza-Hernández J., L. Arroyo-Carrasco M., D. Iturbe-Castillo M., Chávez-Cerda S.. Laguerre–Gauss beams versus Bessel beams showdown: Peer comparison. Opt. Lett., 2015, 40(16): 3739 https://doi.org/10.1364/OL.40.003739
38	Mendoza-Hernández J., Hidalgo-Aguirre M., Inclán Ladino A., Lopez-Mago D.. Perfect Laguerre–Gauss beams. Opt. Lett., 2020, 45(18): 5197 https://doi.org/10.1364/OL.402083
39	Liu X., E. Monfared Y., Pan R., Ma P., Cai Y., Liang C.. Experimental realization of scalar and vector perfect Laguerre–Gaussian beams. Appl. Phys. Lett., 2021, 119(2): 021105 https://doi.org/10.1063/5.0048741

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