Abstract
Due to atmospheric turbulence, the wavefront phase and the light intensity distribution would change, and the information carried by beams may be damaged or even lost. Hence, using the non-Kolmogorov spectrum and the generalized Huygens-Fresnel principle, the propagation characteristics of circular-linear edge dislocation beams are studied in this paper. The results show that the light intensity distribution of the beams eventually evolves into the light intensity distribution of Gaussian-like beams. Circular edge dislocation and linear edge dislocation evolve into two pairs of optical vortices. When the beams propagate far enough, two pairs of optical vortices will annihilate. With the decrease of the inner scale of turbulence and the general exponent, and the increase of the general structure constant, the evolution of the beams will be accelerated. The effect of the outer scale of turbulence on the evolution can be negligible. The results obtained provide theoretical guidance for optical communications and spatial modulation of optical fields.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Allen, L., Beijersbergen, M., Spreeuw, R., Woerdman, J.: Orbital angular momentum of light and the transformation of laguerre-gaussian laser modes. Phys. Rev. A 45(11), 8185–8189 (1992)
Andrews, L. C., Phillips, R. L.: Laser Beam Propagation through Random Media. SPIE Press, Bellingham (2005)
Brullot, W., Vanbel, M., Swusten, T., Verbiest, T.: Resolving enantiomers using the optical angular momentum of twisted light. Sci. Adv. 2(3), e1501349 (2016)
Chen, H., Gao, Z., Yang, H., Xiao, H., Wang, F., Huang, X., Liu, X.: Evolution behavior of two edge dislocations passing through an astigmatic lens. J. Mod. Opt. 59(21), 1863–1872 (2012)
Gbur, G., Visser, T.D.: Coherence vortices in partially coherent beams. Opt. Commun. 222, 117–125 (2003)
Gecevičius, M., Drevinskasa, R., Beresna, M., Kazansky, P.G.: Single beam optical vortex tweezers with tunable orbital angular momentum. Appl. Phys. Lett. 104(23), 288–299 (2014)
Gbur, G., Tyson, R.K.: Vortex beam propagation through atmospheric turbulence and topological charge conservation. J. Opt. Soc. Am. A 25(1), 225–230 (2008)
Hamedi, H.R., Ruseckas, J., Paspalakis, E., Juzeliunas, G.: Transfer of optical vortices in coherently prepared media. Phys. Rev. A 99(3), 033812 (2019)
Hnatovsky, C., Shvedov, V.G., Shostka, N., Rode, A.V., Krolikowski, W.: Polarization-dependent ablation of silicon using tightly focused femtosecond laser vortex pulses. Opt. Lett. 37(2), 226–228 (2012)
Hricha, Z., Yaalou, M., Belafhal, A.: Introduction of a new vortex cosine-hyperbolic-Gaussian beam and the study of its propagation properties infractional Fourier transform optical system. Opt. Quant. Electron. 52, 296 (2020)
Karahroudi, M.K., Moosavi, S.A., Mobashery, A., Parmoon, B., Saghafifar, H.: Performance evaluation of perfect optical vortices transmission in an underwater optical communication system: publisher’s note. Appl. Opt. 57(30), 9148–9154 (2018)
Kraus, M., Ahmed, M.A., Michalowski, A., Voss, A., Weber, R., Graf, T.: Microdrilling in steel using ultrashort pulsed laser beams with radial and azimuthal polarization. Opt. Express 18(21), 22305–22313 (2010)
Kuo, C.F., Chu, S.C.: Numerical study of the properties of optical vortex array laser tweezers. Opt. Express 21(22), 26418–26431 (2013)
Li, L., Li, F.: Beating the rayleigh limit: orbital-angular-momentum-based super-resolution diffraction tomography. Phys. Rev. E 88(3), 033205 (2013)
Li, J.H., Gao, P.H., Cheng, K., Duan, M.L.: Dynamic evolution of circular edge dislocations in free space and atmospheric turbulence. Opt. Express 25(3), 2895–2908 (2017)
Liu, K., Cheng, Y., Gao, Y., Li, X.: Super-resolution radar imaging based on experimental OAM beams. Appl. Phys. Lett. 110(16), 164102 (2017)
Liu, J., Li, S., Zhu, L., Wang, A., Chen, S., Klitis, C., Du, C., Mo, Q., Sorel, M., Yu, S., Cai, X., Wang, J.: Direct fiber vector eigenmode multiplexing transmission seeded by integrated optical vortex emitters. Light Sci. Appl. 7(3), 17148 (2018)
Mandel, L., Wolf, E.: Optical coherence and quantum optics. Cambridge University Press, England (1995)
Nye, J.F., Berry, M.V.: Dislocations in wave trains. Proc. R. Soc. Lond. A: Math. Phys. Sci. 336(1605), 165–190 (1974)
Pascucci, M., Tessier, G., Emiliani, V., Guillon, M.: Superresolution imaging of optical vortices in a speckle pattern. Phys. Rev. Lett. 116(9), 093904 (2016)
Petrov, D.V.: Splitting of an edge dislocation by an optical vortex. Opt. Quant. Electron. 34(8), 759–773 (2002)
Porfirev, A.P., Kirilenko, M.S., Khonina, S.N., Skidanov, R.V., Soifer, V.A.: Study of propagation of vortex beams in aerosol optical medium. Appl. Opt. 56(11), E8–E15 (2017)
Sheng, X., Zhang, Y., Wang, X., Wang, Z., Zhu, Y.: The effects of non-Kolmogorov turbulence on the orbital angular momentum of a photon-beam propagation in a slant channel. Opt. Quant. Electron. 43, 121–127 (2012)
Soskin, M., Vasnetsov, M.: Singular Optics. Prog. Opt. 42, 219–276 (2001)
Srinivas, P., Perumangatt, C., Nijil, L., Singh, R.P., Srinivasan, B.: Investigation of propagation dynamics of truncated vector vortex beams. Opt. Lett. 43(11), 2579–2582 (2018)
Sun, C., Lv, X., Ma, B., Zhang, J., Deng, D., Hong, W.: Statistical properties of partially coherent radially and azimuthally polarized rotating elliptical gaussian beams in oceanic turbulence with anisotropy. Opt. Express 27(8), A245–A256 (2019)
Toselli, I., Andrews, L.C., Phillips, R.L., Ferrero, V.: Angle of arrival fluctuations for free space laser beam propagation through non kolmogorov turbulence. Proc. SPIE 6551, 65510E (2007)
Vasnetsov, M.V., Basistiy, I.V., Soskin, M.S.: Free-space evolution of monochromatic mixed screw-edge wavefront dislocations. Proc. SPIE 3487, 29–33 (1998)
Wang, S.C.H., Plonus, M.A.: Optical beam propagation for a partially coherent source in the turbulent atmosphere. J. Opt. Soc. Am. 69(9), 1297–1304 (1979)
Yuan, Y., Yang, Y.: Propagation of anomalous vortex beams through an annular apertured paraxial ABCD optical system. Opt. Quant. Electron. 47, 2289–2297 (2015)
Acknowledgements
This work is supported by National Natural Science Foundation of China under Grant (No.61875156, U20B2059) and also partly supported by the 111 Project (B17035).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Gao, P., Bai, L. Propagation characteristics of circular-linear edge dislocation beams. Opt Quant Electron 53, 310 (2021). https://doi.org/10.1007/s11082-021-02887-y
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11082-021-02887-y