Full text of article: Russian language.

 PDF

Abstract:
The propagation of Laguerre-Gauss vortex beams through a random phase distorting medium is numerically and experimentally investigated. The influence of the order of the mode on the degree of conservation of vortices of different orders in a random environment is analyzed. An increase in the stability of the detection of a vortex in a beam with a small defocusing of the output Fourier cascade of the optical correlator is shown experimentally.

Keywords:
Laguerre-Gaussian beams, optical vortices, random optical media.

Citation:
Karpeev SV, Paranin VD, Kirilenko MS. Comparison of the stability of Laguerrе-Gauss vortex beams to random fluctuations of the optical environment. Computer Optics 2017; 41(2): 208-217. DOI: 10.18287/2412-6179-2017-41-2-208-217.

References:

1. Wang F, Liu X, Cai Y. Propagation of partially coherent beam in turbulent atmosphere: a review (invited review). Progress In Electromagnetics Research 2015; 150: 123-143. DOI: 10.2528/PIER15010802.
2. Korotkova O. Random light beams: theory and applications. Boca Raton, FL: CRC Press, Taylor & Francis Group; 2013. ISBN: 978-1-4398-1950-0.
3. Majumdar AK, Ricklin JC. Free-space laser communications: principles and advances. New York: Springer Science & Business Media; 2008. ISBN: 978-0-387-28652-5.
4. Mishchenko MI. electromagnetic scattering by particles and particle groups: An introduction. Cambridge: Cam-bridge University Press; 2014. ISBN: 978-0-521-51992-2.
5. Tatarskii VI. Wave propagation in a turbulent medium. New York: McGraw-Hill; 1961.
6. Dainty JC, Ennos AE, Françon M, Goodman JW, McKechnie TS, Parry G. Laser speckle and related phenomena. Berlin: Springer, 1975. ISBN: 978-3-540-07498-4.
7. Ishimaru A. Wave propagation and scattering in random media. New York: Academic Press; 1978. ISBN: 978-0-12-374701-3.
8. Fante RL. Wave propagation in random media: a systems approach. Progress in Optics 1985; 22: 341-398. DOI: 10.1016/S0079-6638(08)70152-5.
9. Andrews LC, Phillips RL. Laser beam propagation through random media. Bellingham, WA: SPIE Optical Engineering Press; 1998. ISBN: 978-0-819-42787-8.
10. Gbur G, Wolf E. Spreading of partially coherent beams in random media. J Opt Soc Am A 2002; 19(8): 1592-1598. DOI: 10.1364/JOSAA.19.001592.
11. Eyyuboglu HT, Baykal Y, Cai Y. Complex degree of coherence for partially coherent general beams in atmospheric turbulence. J Opt Soc Am A 2007; 24(9): 2891-2901. DOI: 10.1364/JOSAA.24.002891.
12. Wang D, Wang F, Cai Y, Chen J. Evolution proper-ties of the complex degree of coherence of a partially coherent Laguerre-Gaussian beam in turbulent atmosphere. J Mod Opt 2012; 59(4): 372-380. DOI: 10.1080/09500340.2011.628419.
13. Gbur G, Tyson RK. Vortex beam propagation through atmospheric turbulence and topological charge conservation. JOSA A 2008; 25(1): 225-230. DOI: 10.1364/JOSAA.25.000225.
14. Cai Y, He S. Propagation of various dark hollow beams in a turbulent atmosphere. Opt Express 2006; 14(4): 1353-1367. DOI: 10.1364/OE.14.001353.
15. Eyyuboglu HT. Propagation of higher order Bessel-Gaussian beams in turbulence. Appl Phys B 2007; 88(2): 259-265. DOI: 10.1007/s00340-007-2707-6.
16. Chu X. Evolution of an Airy beam in turbulence. Opt Lett 2011; 36(14): 2701-2703. DOI: 10.1364/OL.36.002701.
17. Du X, Zhao D, Korotkova O. Changes in the statistical properties of stochastic anisotropic electromagnetic beams on propagation in the turbulent atmosphere. Opt Express 2007; 15(25): 16909-16915. DOI: 10.1364/OE.15.016909.
18. Wang H, Liu D, Zhou Z. The propagation of radially polarized partially coherent beam through an optical system in turbulent atmosphere. Appl Phys B 2010; 101(1): 361-369. DOI: 10.1007/s00340-010-4106-7.
19. Ji X, Pu Z. Effective Rayleigh range of Gaussian array beams propagating through atmospheric turbulence. Opt Commun 2010; 283(20): 3884-3890. DOI: 10.1016/j.optcom.2010.06.025.
20. Chen C, Yang H, Kavehrad M, Zhou Z. Propagation of radial Airy array beams through atmospheric turbulence. Optics and Lasers in Engineering 2014; 52: 106-114. DOI: 10.1016/j.optlaseng.2013.07.003.
21. Soskin MS, Vasnetsov MV. Singular optics. In book: Wolf E, ed. Progress in Optics. Chap 4. Amsterdam, North Holland: Elsevier Science; 2001. DOI: 10.1016/S0079-6638(01)80018-4.
22. Bozinovic N, Yue Y, Ren Y, Tur M, Kristensen P, Huang H, Willer AE, Ramachandran S. Terabit-scale orbital angular momentum mode division multiplexing in fibers. Science 2013; 340(6140): 1545-1548. DOI: 10.1126/scien­ce.1237861.
23. Gibson G, Courtial J, Padgett MJ, Vasnetsov M, Pas’ko V, Barnett SM, Franke-Arnold S. Free-space information transfer using light beams carrying orbital angular momentum. Opt Express 2004; 12(22): 5448-5456. DOI: 10.1364/OPEX.12.005448.
24. Wang J, Yang J-Y, Fazal IM, Ahmed N, Yan Y, Huang H, Ren Y, Yue Y, Dolinar S, Tur M, Willner AE. Terabit free-space data transmission employing orbital angular momentum multiplexing. Nat Photonics 2012; 6: 488-496. DOI: 10.1038/nphoton.2012.138.
25. Khonina SN. Vortex laser beams and their applying. In book: Soifer VA, ed. Nanophotonics and its application in ERS systems [In Russian]. Chap 4. Samara: "Novaya Tehnika" Publisher; 2016. ISBN: 978-5-88940-140-7.
26. Soifer VA, Korotkova О, Khonina SN, Shchepakina ЕА. Vortex beams in turbulent media: Review. Computer Optics 2016; 40(5): 605-624. DOI: 10.18287/2412-6179-2016-40-5-605-624.
27. Wang T, Pu J, Chen Z. Beam-spreading and topological charge of vortex beams propagating in a turbulent atmosphere. Opt Commun 2009; 282(7): 1255-1259. DOI: 10.1016/j.optcom.2008.12.027.
28. Malik M, O’Sullivan M, Rodenburg B, Mirhosseini M, Leach J, Lavery MPJ, Padgett MJ, Boyd RW. Influence of atmospheric turbulence on optical communications using orbital angular momentum for encoding. Opt Express 2012; 20(12): 13195-13200. DOI: 10.1364/OE.20.013195.
29. Porfirev AP, Kirilenko MS, Khonina SN, Skidanov RV, Soifer VA. Study of propagation of vortex beams in aerosol optical medium. Applied Optics 2017; 56(11): E8-E15. DOI: 10.1364/AO.56.0000E8.
30. Kotlyar VV, Khonina SN, Soifer VA. Light field decomposition in angular harmonics by means of diffractive optics. J Mod Opt 1998; 45(7): 1495-1506. DOI: 10.1080/09500349808230644.
31. Khonina SN, Kotlyar VV, Soifer VA, Pääkkönen P, Simonen J, Turunen J. An analysis of the angular momentum of a light field in terms of angular harmonics. J Mod Opt 2001; 48(10): 1543-1557. – DOI: 10.1080/09500340108231783.
32. Lutomirski RF, Yura HT. Propagation of a finite optical beam in an inhomogeneous medium. Appl Opt 1971; 10(7): 1652-1658. DOI: 10.1364/AO.10.001652.
33. Feizulin ZI, Kravtsov YA. Broadening of a laser beam in a turbulent medium. Radiophysics and Quantum Electronics 1967; 10(1): 33-35. DOI: 10.1007/BF01038157.
34. Young CY, Gilchrest YV, Macon BR. Turbulence induced beam spreading of higher order mode optical waves. Opt Eng 2002; 41(5): 1097-1103. DOI: 10.1117/1.1465427.
35. Prudnikov AP, Brychkov YuA, Marichev OI. Integrals and Series, Vol. 2: Special Functions. Amsterdam, Netherlands: Gordon & Breach, Science Publishers, Inc.; 1986. ISBN: 2-88124-090-9.
36. Lyubopytov VS, Tlyavlin AZ, Sultanov AK, Bagmanov VK, Khonina SN, Karpeev SV, Kazanskiy NL. Mathematical model of completely optical system for detection of mode propagation parameters in an optical fiber with few-mode operation for adaptive compensation of mode coupling [In Russian], Computer Optics 2013; 37(3): 352-359.
37. Berezny AE, Karpeev SV, Uspleniev GV Computer-generated holographic optical elements produced by photolithography. Optics and Lasers in Engineering 1991; 15(5): 331-340. DOI: 10.1016/0143-8166(91)90020-T.
38. Khonina SN, Karpeev SV, Alferov SV Polarization converter for higher-order laser beams using a single binary diffractive optical element as beam splitter. Optics Letters 2012; 37(12): 2385-2387. DOI: 10.1364/OL.37.002385.

---

© 2009, IPSI RAS
Institution of Russian Academy of Sciences, Image Processing Systems Institute of RAS, Russia, 443001, Samara, Molodogvardeyskaya Street 151; E-mail: journal@computeroptics.ru; Phones: +7 (846) 332-56-22, Fax: +7 (846) 332-56-20