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Published in: Optical Memory and Neural Networks 1/2023

01-11-2023

Simulation of the Propagation of Rotating Laguerre–Gaussian Beams in an Imaging System with an Obstacle

Authors: M. Kirilenko, D. Gorelykh

Published in: Optical Memory and Neural Networks | Special Issue 1/2023

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Abstract

Two imaging systems are considered in this paper: a system with a lens containing an obstacle in the front focal area of the lens, and a system with an image in the front focal area of the lens with a phase mask and a circular aperture diaphragm. A rotating Laguerre–Gaussian beam propagates through the first imaging system, and structure of the beam transforms after propagation through an obstacle. The simulations of the system were performed using Fresnel transformations for the field propagation before and after the lens. The simulation results showed how much the beam is distorted at the output of the imaging system depending on the size of the obstacle and its distance from the propagation axis. Similarly, a rotating Laguerre–Gaussian beam with a superimposed “triangle” shadow image propagates through the second system. The simulations were performed using the Fresnel transform and overlaying a limiting aperture in the lens plane in order to investigate the influence of the aperture size on the sharpness of the generated image.

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Literature
1.
go back to reference Simpson, N., Allen, L., and Padgett, M., Optical Tweezers and Optical Spanners with Laguerre–Gaussian Modes, J. Mod. Opt., 1996, vol. 43, no. 12, pp. 2485–2491.CrossRef Simpson, N., Allen, L., and Padgett, M., Optical Tweezers and Optical Spanners with Laguerre–Gaussian Modes, J. Mod. Opt., 1996, vol. 43, no. 12, pp. 2485–2491.CrossRef
2.
go back to reference Wright, E., Arlt, J., and Dholakia, K., Toroidal Optical Dipole Traps for Atomic Bose–Einstein Condensates Using Laguerre–Gaussian Beams, Phys. Rev. A, 2000, vol. 63, p. 013608.CrossRef Wright, E., Arlt, J., and Dholakia, K., Toroidal Optical Dipole Traps for Atomic Bose–Einstein Condensates Using Laguerre–Gaussian Beams, Phys. Rev. A, 2000, vol. 63, p. 013608.CrossRef
3.
go back to reference Khonina, S., Skidanov, R., Kotlyar, V., Soifer, V., and Turunen, J., DOE-generated laser beams with given orbital angular moment: application for micromanipulation, Proc. SPIE, 2005, vol. 5962, pp. 852–864. Khonina, S., Skidanov, R., Kotlyar, V., Soifer, V., and Turunen, J., DOE-generated laser beams with given orbital angular moment: application for micromanipulation, Proc. SPIE, 2005, vol. 5962, pp. 852–864.
4.
go back to reference Yang, Y., Ren, Y.-X., Chen, M., Arita, Y., and Rosales-Guzman, C., Optical trapping with structured light: A review, Adv. Photonics, 2021, vol. 3, no. 3, p. 034001.CrossRef Yang, Y., Ren, Y.-X., Chen, M., Arita, Y., and Rosales-Guzman, C., Optical trapping with structured light: A review, Adv. Photonics, 2021, vol. 3, no. 3, p. 034001.CrossRef
5.
go back to reference Tian, Y., Wang, L., Duan, G., and Yu, L., Multi-trap optical tweezers based on composite vortex beams, Opt. Commun., 2021, vol. 485, no. 15, p. 126712.CrossRef Tian, Y., Wang, L., Duan, G., and Yu, L., Multi-trap optical tweezers based on composite vortex beams, Opt. Commun., 2021, vol. 485, no. 15, p. 126712.CrossRef
6.
go back to reference Hamazaki, J., Morita, R., Chujo, K., Kobayashi, Y., Tanda, S., and Omatsu, T., Optical-vortex laser ablation, Opt. Express, 2010, vol. 18, pp. 2144–2151.CrossRef Hamazaki, J., Morita, R., Chujo, K., Kobayashi, Y., Tanda, S., and Omatsu, T., Optical-vortex laser ablation, Opt. Express, 2010, vol. 18, pp. 2144–2151.CrossRef
7.
go back to reference Anoop, K., et al., Direct femtosecond laser ablation of copper with an optical vortex beam, J. Appl. Phys., 2014, vol. 116, p. 113102.CrossRef Anoop, K., et al., Direct femtosecond laser ablation of copper with an optical vortex beam, J. Appl. Phys., 2014, vol. 116, p. 113102.CrossRef
8.
go back to reference Busleev, N., Kudryashov, S., Danilov, P., Porfir’ev, A., Saraeva, I., Rudenko, A., Umanskaya S., Zayarnyi, D., Ionin, A., and Khonina, S., Symmetric nanostructuring and plasmonic excitation of gold nanostructures by femtosecond Laguerre–Gaussian laser beams, Quantum. Electron., 2019, vol. 49, no. 7, pp. 666–671.CrossRef Busleev, N., Kudryashov, S., Danilov, P., Porfir’ev, A., Saraeva, I., Rudenko, A., Umanskaya S., Zayarnyi, D., Ionin, A., and Khonina, S., Symmetric nanostructuring and plasmonic excitation of gold nanostructures by femtosecond Laguerre–Gaussian laser beams, Quantum. Electron., 2019, vol. 49, no. 7, pp. 666–671.CrossRef
10.
go back to reference Yu, S., Potentials and challenges of using orbital angular momentum communications in optical interconnects, Opt. Express, 2015, vol. 23, pp. 3075–3087.CrossRef Yu, S., Potentials and challenges of using orbital angular momentum communications in optical interconnects, Opt. Express, 2015, vol. 23, pp. 3075–3087.CrossRef
11.
go back to reference Zhou, Y., Yuan, Y., Qu, J., and Huang, W., Propagation properties of Laguerre–Gaussian correlated Schell-model beam in non-Kolmogorov turbulence, Opt. Express, 2016, vol. 24, pp. 10682–10693.CrossRef Zhou, Y., Yuan, Y., Qu, J., and Huang, W., Propagation properties of Laguerre–Gaussian correlated Schell-model beam in non-Kolmogorov turbulence, Opt. Express, 2016, vol. 24, pp. 10682–10693.CrossRef
12.
go back to reference Fu, S., Zhai, Y., Zhou, H., Zhang, J., Yin, C., and Gao, C., Demonstration of high-dimensional free-space data coding/decoding through multi-ring optical vortices, Chin. Opt. Lett., 2019, vol. 17, p. 080602. Fu, S., Zhai, Y., Zhou, H., Zhang, J., Yin, C., and Gao, C., Demonstration of high-dimensional free-space data coding/decoding through multi-ring optical vortices, Chin. Opt. Lett., 2019, vol. 17, p. 080602.
13.
go back to reference Kirilenko, M. and Khonina, S., Investigation of the topological charge stability for multi-ring Laguerre–Gauss vortex beams to random distortions, Comput. Opt., 2019, vol. 43, no. 4, pp. 567–576. https://doi.org/10.18287/2412-6179-2019-43-4-567-576 Kirilenko, M. and Khonina, S., Investigation of the topological charge stability for multi-ring Laguerre–Gauss vortex beams to random distortions, Comput. Opt., 2019, vol. 43, no. 4, pp. 567–576. https://doi.org/10.18287/2412-6179-2019-43-4-567-576
16.
go back to reference Kotlyar, V., Soifer, V., and Khonina, S., Rotation of multimode Gauss-Laguerre light beams in free space, Tech. Phys. Lett., 1997, vol. 23, no. 9, pp. 657–658.CrossRef Kotlyar, V., Soifer, V., and Khonina, S., Rotation of multimode Gauss-Laguerre light beams in free space, Tech. Phys. Lett., 1997, vol. 23, no. 9, pp. 657–658.CrossRef
17.
go back to reference Kotlyar, V., Soifer, V., and Khonina, S., Rotation of multimodal Gauss-Laguerre light beams in free space and in a fiber, Opt. Laser Eng., 1998, vol. 29, issue 4–5, pp. 343–350.CrossRef Kotlyar, V., Soifer, V., and Khonina, S., Rotation of multimodal Gauss-Laguerre light beams in free space and in a fiber, Opt. Laser Eng., 1998, vol. 29, issue 4–5, pp. 343–350.CrossRef
18.
go back to reference Huangn, S., Miao, Z., He, C., Pang, F., Li, Y., and Wang, T., Composite vortex beams by coaxial superposition of Laguerre–Gaussian beams, Opt. Laser Eng., 2016, vol. 78, pp. 132–139.CrossRef Huangn, S., Miao, Z., He, C., Pang, F., Li, Y., and Wang, T., Composite vortex beams by coaxial superposition of Laguerre–Gaussian beams, Opt. Laser Eng., 2016, vol. 78, pp. 132–139.CrossRef
19.
go back to reference Almazov, A. and Khonina, S., Reconstruction of laser beams containing angular harmonics after obstacles, Comput. Opt., 2005, vol. 27, pp. 72–83. Almazov, A. and Khonina, S., Reconstruction of laser beams containing angular harmonics after obstacles, Comput. Opt., 2005, vol. 27, pp. 72–83.
20.
go back to reference Sunil, V., Masato, N., Yuichi, K., and Shunichi, S., Diffractive properties of obstructed vector Laguerre–Gaussian beam under tight focusing condition, J. Opt. Soc. Am. A, 2011, vol. 28, pp. 1387–1394.CrossRef Sunil, V., Masato, N., Yuichi, K., and Shunichi, S., Diffractive properties of obstructed vector Laguerre–Gaussian beam under tight focusing condition, J. Opt. Soc. Am. A, 2011, vol. 28, pp. 1387–1394.CrossRef
21.
go back to reference Litvin, I., Burger, L., and Forbes, A., Angular self-reconstruction of petal-like beams, Opt. Lett., 2013, vol. 38, pp. 3363–3365.CrossRef Litvin, I., Burger, L., and Forbes, A., Angular self-reconstruction of petal-like beams, Opt. Lett., 2013, vol. 38, pp. 3363–3365.CrossRef
22.
go back to reference Aiello, A. and Agarwal, G., Wave-optics description of self-healing mechanism in Bessel beams, Opt. Lett., 2014, vol. 39, pp. 6819–6822.CrossRef Aiello, A. and Agarwal, G., Wave-optics description of self-healing mechanism in Bessel beams, Opt. Lett., 2014, vol. 39, pp. 6819–6822.CrossRef
25.
go back to reference Pavani, S.R.P. and Piestun, R., Three dimensional tracking of fluorescent microparticles using a photon-limited double-helix response system, Opt. Express, 2008, vol. 16, no. 26, pp. 22048–22057.CrossRef Pavani, S.R.P. and Piestun, R., Three dimensional tracking of fluorescent microparticles using a photon-limited double-helix response system, Opt. Express, 2008, vol. 16, no. 26, pp. 22048–22057.CrossRef
26.
go back to reference Wang, Z., Cai, Y., Liang, Y., Zhou, X., Yan, S., Dan, D., Bianco, PR., Lei, M., and Yao, B., Single shot, three-dimensional fluorescence microscopy with a spatially rotating point spread function, Biomed. Opt. Express, 2017, vol. 8, no. 12, pp. 5493–5506.CrossRef Wang, Z., Cai, Y., Liang, Y., Zhou, X., Yan, S., Dan, D., Bianco, PR., Lei, M., and Yao, B., Single shot, three-dimensional fluorescence microscopy with a spatially rotating point spread function, Biomed. Opt. Express, 2017, vol. 8, no. 12, pp. 5493–5506.CrossRef
27.
go back to reference Prasad, S., Rotating point spread function via pupil-phase engineering, Opt. Lett., 2013, vol. 38, no. 4, pp. 585–587. Prasad, S., Rotating point spread function via pupil-phase engineering, Opt. Lett., 2013, vol. 38, no. 4, pp. 585–587.
28.
go back to reference Yang, J., Du, H., Chai, Z., Zhang, L., Li, B.Q., Cui, J., and Mei, X., Optimization of spot efficiency of double-helix point spread function and its application in intracellular imaging, J. Appl. Sci., 2022., vol. 12, p. 1778. https://doi.org/10.3390/app12041778 Yang, J., Du, H., Chai, Z., Zhang, L., Li, B.Q., Cui, J., and Mei, X., Optimization of spot efficiency of double-helix point spread function and its application in intracellular imaging, J. Appl. Sci., 2022., vol. 12, p. 1778. https://doi.org/10.3390/app12041778
29.
go back to reference Wang, Z., Cai, Y., Liang, Y., Zhou, X., Yan, S., Dan, D., Bianco, P.R., Lei, M., and Yao, B., Single shot, three-dimensional fluorescence microscopy with a spatially rotating point spread function, Biomed. Opt. Express, 2017, vol. 8, no. 12, pp. 5493–5506.CrossRef Wang, Z., Cai, Y., Liang, Y., Zhou, X., Yan, S., Dan, D., Bianco, P.R., Lei, M., and Yao, B., Single shot, three-dimensional fluorescence microscopy with a spatially rotating point spread function, Biomed. Opt. Express, 2017, vol. 8, no. 12, pp. 5493–5506.CrossRef
30.
go back to reference Hai, N. and Rosen, J., Interferenceless and motionless method for recording digital holograms of coherently illuminated 3D objects by coded aperture correlation holography system, Opt. Express, 2019, vol. 27, no. 17, pp. 24324–24339.CrossRef Hai, N. and Rosen, J., Interferenceless and motionless method for recording digital holograms of coherently illuminated 3D objects by coded aperture correlation holography system, Opt. Express, 2019, vol. 27, no. 17, pp. 24324–24339.CrossRef
31.
go back to reference Anand, V., Khonina, S., Kumar, R., Dubey, N., Reddy, A.N.K., Rosen, J., and Juodkazis, S., Three-dimensional incoherent imaging using spiral rotating point spread functions created by double-helix beams [Invited], Nanoscale Res. Lett., 2022, vol. 17, p. 37.CrossRef Anand, V., Khonina, S., Kumar, R., Dubey, N., Reddy, A.N.K., Rosen, J., and Juodkazis, S., Three-dimensional incoherent imaging using spiral rotating point spread functions created by double-helix beams [Invited], Nanoscale Res. Lett., 2022, vol. 17, p. 37.CrossRef
32.
go back to reference Anand, V., Ng, S.H., Maksimovic, J., Linklater, D., Katkus, T., Ivanova, E.P., and Juodkazis, S., Single shot multispectral multidimensional imaging using chaotic waves, Sci. Rep., 2020, vol. 10, no. 1, pp. 1–3.CrossRef Anand, V., Ng, S.H., Maksimovic, J., Linklater, D., Katkus, T., Ivanova, E.P., and Juodkazis, S., Single shot multispectral multidimensional imaging using chaotic waves, Sci. Rep., 2020, vol. 10, no. 1, pp. 1–3.CrossRef
33.
go back to reference Kogelnik, H. and Li, T., Laser beams and resonators, Appl. Opt., 1966, vol. 5, no. 10, pp. 1550–1567.CrossRef Kogelnik, H. and Li, T., Laser beams and resonators, Appl. Opt., 1966, vol. 5, no. 10, pp. 1550–1567.CrossRef
34.
go back to reference Adams, M., An Introduction to Optical Waveguides, Chichester: Wiley, 1981. Adams, M., An Introduction to Optical Waveguides, Chichester: Wiley, 1981.
35.
go back to reference Volotovskiy, S., Karpeev, S., and Khonina, S., Algorithm for reconstructing the complex coefficients of the Laguerre–Gauss modes from the intensity distribution for their coherent superposition, Comput. Opt., 2020, vol. 44, no. 3, pp. 352–362. https://doi.org/10.18287/2412-6179-CO-727 Volotovskiy, S., Karpeev, S., and Khonina, S., Algorithm for reconstructing the complex coefficients of the Laguerre–Gauss modes from the intensity distribution for their coherent superposition, Comput. Opt., 2020, vol. 44, no. 3, pp. 352–362. https://doi.org/10.18287/2412-6179-CO-727
36.
go back to reference Kotlyar, V., Sojfer, V., and Khonina, S., Calculation algorithm of diffraction optical elements for generation of rotating modal images, Avtometriya, 1997, vol. 5, pp. 46–54. Kotlyar, V., Sojfer, V., and Khonina, S., Calculation algorithm of diffraction optical elements for generation of rotating modal images, Avtometriya, 1997, vol. 5, pp. 46–54.
Metadata
Title
Simulation of the Propagation of Rotating Laguerre–Gaussian Beams in an Imaging System with an Obstacle
Authors
M. Kirilenko
D. Gorelykh
Publication date
01-11-2023
Publisher
Pleiades Publishing
Published in
Optical Memory and Neural Networks / Issue Special Issue 1/2023
Print ISSN: 1060-992X
Electronic ISSN: 1934-7898
DOI
https://doi.org/10.3103/S1060992X23050107

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