Vortex beams in turbulent media: review
Автор: Soifer Victor Alexandrovich, Korotkova Olga, Khonina Svetlana Nikolaevna, Shchepakina Elena Anatolevna
Журнал: Компьютерная оптика @computer-optics
Рубрика: Opto-it
Статья в выпуске: 5 т.40, 2016 года.
Бесплатный доступ
The review covers publications concerned with propagation of laser beams through turbulent media described by the Kolmogorov theory and generalizations thereof to describe signal transmission in optical communications and detection systems. In this case, the turbulent medium is interpreted as an optical channel with random parameters. Various optical signals considered include partially coherent beams, non-uniformly polarized vector beams, as well as specifically configured spatial laser beams. Special attention is given to vortex laser beams. The latter are shown to have a number of remarkable properties that give them an advantage over conventional Gaussian beams.
Turbulent media, optical signals, vortex laser beams, free-space optics communication systems, diffractive optical elements
Короткий адрес: https://sciup.org/14059597
IDR: 14059597 | DOI: 10.18287/2412-6179-2016-40-5-605-624
Список литературы Vortex beams in turbulent media: review
- Wang, F. Propagation of partially coherent beam in turbulent atmosphere: a review (invited review)/F. Wang, X. Liu, Y. Cai//Progress in Electromagnetics Research. -2015. -Vol. 150. -P. 123-143. - DOI: 10.2528/PIER15010802
- Korotkova, O. Random light beams: theory and applications/O. Korotkova. -Boca Raton, FL: CRC Press, Taylor & Francis Group, 2013. -ISBN 978-1-4398-1950-0.
- Majumdar, A.K. Free-space laser communications: principles and advances/A.K. Majumdar, J.C. Ricklin. -Volume 2. -New York: Springer Science & Business Media, 2008.
- Mishchenko, M.I. Scattering, absorption, and emission of light by small particles/M.I. Mishchenko, L.D. Travis, A.A. Lacis. -Cambridge: Cambridge University Press, 2002.
- Isumaru A. Wave propagation and scattering in random media/A. Isumaru. -John Wiley & Sons, 1999. -ISBN: 978-0-7803-4717-5.
- Andrews, L.C. Laser beam propagation in random media/L.C. Andrews, R.L. Phillips. -2nd ed. -Bellingham, Washington: SPIE Optical Engineering Press, 2005. -ISBN: 0-8194-5948-8.
- Soskin, M.S. Singular optics/M.S. Soskin, M.V. Vasnetsov. -In book: Progress in Optics/Ed. by E. Wolf. -Chapter 4. -Amsterdam, North Holland: Elsevier Science, 2001. -P. 219-276.
- Bozinovic, N. Terabit-scale orbital angular momentum mode division multiplexing in fibers/N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A.E. Willner, S. Ramachandran//Science. -2013. -Vol. 340(6140). -P. 1545-1548. -DOI: 10.1126/Science.1237861.
- Yan, Y. High-capacity millimetre-wave communications with orbital angular momentum multiplexing/Y. Yan, G. Xie, M.P.J. Lavery, H. Huang, N. Ahmed, C. Bao, Y. Ren, Y. Cao, L. Li, Z. Zhao, A.F. Molisch, M. Tur, M.J. Padgett, A.E. Willner//Nature Communications. -2014. -Vol. 5876(5). -P. 4876. -DOI: 10.1038/ncomms5876.
- Gbur, G. Vortex beam propagation through atmospheric turbulence and topological charge conservation/G. Gbur, R.K. Tyson//Journal of the Optical Society of America A. -2008. -Vol. 25. -P. 225-230. -DOI: 10.1364/JOSAA.25.000225.
- Wang, T. Beam-spreading and topological charge of vortex beams propagating in a turbulent atmosphere/T. Wang, J. Pu, Z. Chen//Optics Communications. -2009. -Vol. 282(7). -P. 1255-1259. - DOI: 10.1016/j.optcom.2008.12.027
- Malik, M. Influence of atmospheric turbulence on optical communications using orbital angular momentum for encoding/M. Malik, M. O'Sullivan, B. Rodenburg, M. Mirhosseini, J. Leach, M.P.J. Lavery, M.J. Padgett, R.W. Boyd//Optics Express. -2012. -Vol. 20(12). -P. 13195-13200. - DOI: 10.1364/OE.20.013195
- Khonina, S.N. An analysis of the angular momentum of a light field in terms of angular harmonics/S.N. Khonina, V.V. Kotlyar, V.A. Soifer, P. Pääkkönen, J. Simonen, J. Turunen//Journal of Modern Optics. -2001. -Vol. 48(10). -P. 1543-1557. - DOI: 10.1080/09500340110047501
- Khonina, S.N. DOE-generated laser beams with given orbital angular moment: application for micromanipulation/S.N. Khonina, R.V. Skidanov, V.V. Kotlyar, V.A. Soifer//Proceedings of SPIE. -2005. -Vol. 5962. -59622W. -DOI: 10.1117/12.624751.
- Kotlyar, V.V. Rotation of Gauss-Laguerre multimodal light beams in free space/V.V. Kotlyar, V.A. Soifer, S.N. Khonina//Technical Physics Letters. -1997. -Vol. 23(9). -P. 657-658. - DOI: 10.1134/1.1261648
- Soifer, V.A. Optical microparticle manipulation: Advances and new possibilities created by diffractive optics/V.A. Soifer, V.V. Kotlyar, S.N. Khonina//Physics of Particles and Nuclei. -2004. -Vol. 35(6). -P. 733-766.
- Computer design of diffractive optics/ Soifer V.A., Golovashkin D.L., Doskolovich L.L., Kazanskiy N.L., Kotlyar V.V., Pavelyev V.S., Skidanov R.V., Khonina S.N. edited by V.A. Soifer. -Cambridge: Cambridge International Science Publishing Ltd. & Woodhead Pub. Ltd., 2013.
- Diffractive optics and nanophotonics/E.A. Bezus, D.A. Bykov, L.L. Doskolovich, A.A. Kovalev, V.V. Kotlyar, A.G. Nalimov, A.P. Porfirjev, R.V. Skidanov, V.A. Soifer, S.S. Stafeev, S.N. Khonina. -Ed. by Soifer VA. -Moscow: “Fizmatlit” Publisher, 2014. -ISBN: 978-5-9221-1571-1.-.
- Banakh, V.A. Intensity fluctuations of the partially coherent light-beam in a turbulent atmosphere/V.A. Banakh, V.M. Buldakov, V.L. Mironov//Optics and Spectroscopy. -1983. -Vol. 54(6). -P. 1054-1059.
- Peleg, A. Scintillation index for two Gaussian laser beams with different wavelengths in weak atmospheric turbulence/A. Peleg, J.V. Moloney//Journal of the Optical Society of America A. -2006. -Vol. 23(12). -P. 3114-3122. -DOI: 10.1364/JOSAA.23.003114.
- Banakh, V.A. Lidar radiation propagation in the turbulent atmosphere/V.A. Banakh, V.L. Mironov. -Novosibirsk: “Nauka” Publisher, 1986. -.
- Vinnichenko, N.K. Turbulence in a free atmosphere/N.K. Vinnichenko, N.Z. Pinus, S.M. Shmeter, G.N. Shur. -Leningrad: “Gidrometeoizdat” Publisher, 1976. -.
- Landau, L.D. Fluid Mechanics/L.D. Landau, E.M. Lifshitz. -Oxford: Pergamon Press, 1959.
- Tatarskii, V.I. Wave propagation in the turbulent atmosphere/V.I. Tatarskii. -Moscow: “Nauka” Publisher, 1967. -.
- Monin, A.S. Statistical Fluid Mechanics, Volume II: Mechanics of Turbulence/A.S. Monin, A.M. Yaglom. -Norwich, United Kingdom: Dover Publications, 2007. -ISBN 978-0-486-45891-5.
- Kolmogorov, A.N. Local structure of turbulence in an compressible viscous fluid at very large Reynolds numbers/A.N. Kolmogorov//Doklady Akademii Nauk SSSR. -1941. -Vol. 30(4). -P. 299-303. -.
- Selected works of A.N. Kolmogorov. Vol. I: Mathematics and Mechanics/ed. by V.M. Tikhomirov. -Dordrecht: Kluwer, 1991.
- Kolmogorov (Dedicated to the 100th birthday of A.N. Kolmogorov, in 3 volumes). Vol. I: Biobibliography/ed. by A.N. Shiryaev. -Moscow: “Fizmatlit” Publisher, 2003.
- Lapin, Yu.V. Statistical theory of turbulence: the past and the present (short sketch of the ideas)/Yu.V. Lapin//Scientific and Technical Sheets. -2004. -Vol. 2(36). -P. 7-20. -.
- Zuev, V.E. Propagation of laser radiation in the atmosphere/V.E. Zuev. -Moscow: “Radio I Svyaz” Publisher, 1981. -.
- Obukhov, A.M. On the energy distribution in the spectrum of a turbulent flow/A.M. Obukhov//Doklady Akademii Nauk SSSR. -1941. -Vol. 32(1). -P. 22-24. -.
- Kolmogorov, A.N. Equations of turbulent motion of an incompressible fluid/A.N. Kolmogorov.//Izvesia Academii Nauk USSR, seria Fizicheskaya. -1942. -Vol. 6(1-2). -P. 56-58. -.
- Turbulence. -URL: femto.com.ua/articles/part_2/4173.html.
- Landau, L.D. On the problem of a turbulence/L.D. Landau//Doklady Akademii Nauk SSSR. -1944. -Vol. 44(8). -P. 339-342. -.
- Hopf, E. A mathematical example displaying the features of turbulence/E. Hopf//Communications on Pure and Applied Mathematics. -1948. -Vol. 1(4). -P. 303-322.
- Monin, A.S. Dimensionless characteristics of turbulence in the atmospheric surface layer/A.S. Monin, A. M.Obukhov//Doklady Akademii Nauk SSSR. -1953. -Vol. 93(2). -P. 223-226. -.
- Monin, A.S. The structure of atmospheric turbulence/A.S. Monin//Theory of Probability & Its Applications. -1958. -Vol. 3(3). -P. 266-296. - DOI: 10.1137/1103023
- Monin, A. Structure of wind velocity and temperature fields in the ground surface layer/A. Monin//Trudy lnstitut fiziki atmosfery. -1962. -Vol. 4. -P. 5-20.
- Yaglom, A.M. Acceleration field in a turbulent flow/A.M. Yaglom//Doklady Akademii Nauk SSSR. -1949. -Vol. 67(5). -P. 795-798. -.
- Yaglom, A.M. Local structure of the temperature field in a turbulent flow/A.M. Yaglom//Doklady Akademii Nauk SSSR. -1949. -Vol. 69(6). -P. 743-746. -.
- Modern Developments in Fluid Dynamics: An Account of Theory and Experiment Relating to Boundary Layers, Turbulent Motion and Wakes/ed. by S. Goldstein. -In 2 Volumes. -Oxford; 1938.
- Prandtl, L. Uber ein neues Formelsystem fur die ausgebildete Turbulenz. Nachr Acad Wiss Göttingen/L. Prandtl//Math.-Phys. Klasse. -1945. -P. 6-19.
- Monin, A.S. Dynamical turbulence in the atmosphere/A.S. Monin//Izvestia Akademii Nauk SSSR, Seria Geograficheskaya i Geofizicheskaya. -1950. -Vol. 14(3). -P. 232-254. -.
- Barenblatt, G.I. On the motion of suspended particles in a turbulent flow/G.I. Barenblatt//Prikladnaya Matematika i Mekhanika. -1953. -Vol. 17(3). -P. 261-274. -.
- Barenblatt, G.I. On the motion of suspended particles in a turbulent flow in a half-space or a plane open channel of finite depth/G.I. Barenblatt//Prikladnaya Matematika i Mekhanika. -1955. -Vol. 19(1). -P. 61-88. -.
- Barenblatt, G.I. A local structure of the developed dust storms/G.I. Barenblatt, G.S. Golitsyn//Moscow: Moscow State University Publisher, 1973. -.
- Prandtl L. Uber ein neues Formelsystem fur die ausgebildete Turbulenz. Nachr Acad Wiss Göttingen/L. Prandtl//Math.-Phys. Klasse. -1945. -P. 6-19.
- Monin AS. Dynamical turbulence in the atmosphere/A.S. Monin//Izvestia Akademii Nauk SSSR, Seria Geograficheskaya i Geofizicheskaya. -1950. -Vol. 14(3). -P. 232-254. -.
- Barenblatt, G.I. On the motion of suspended particles in a turbulent flow/G.I. Barenblatt//Prikladnaya Matematika i Mekhanika. -1953. -Vol. 17(3). -P. 261-274. -.
- Barenblatt, G.I. On the motion of suspended particles in a turbulent flow in a half-space or a plane open channel of finite depth/G.I. Barenblatt//Prikladnaya Matematika i Mekhanika. -1955. -Vol. 19(1). -P. 61-88. -.
- Barenblatt, G.I. A local structure of the developed dust storms/G.I. Barenblatt, G.S. Golitsyn. -Moscow: Moscow State University Publisher, 1973. -.
- Barenblatt, G.I. Similarity, self-similarity, and intermediate asymptotics/G.I. Barenblatt. -2nd ed. -Leningrad: “Gidrometeoizdat” Publisher, 1982. -.
- Barenblatt, G.I. Scaling laws for fully developed turbulent flows in pipes/G.I. Barenblatt, A.J. Chorin, V.M. Prostokishin//Applied Mechanics Reviews. -1997. -Vol. 50(7). -P. 413-429.
- Barenblatt, G.I. Flow, deformation and fracture: Lectures on fluid mechanics and the mechanics of deformable solids for mathematicians and physicists/G.I. Barenblatt//Cambridge: Cambridge University Press, 2014.
- Chorin, A. Lecture II: Theories of turbulence/A. Chorin//Lecture Notes in Mathematics. -1977. -Vol. 615. -P. 36-47. - DOI: 10.1007/BFb0068359
- Barenblatt, G.I. Turbulent flows at very large Reynolds numbers: new lessons learned/G.I. Barenblatt, A.J. Chorin, V.M. Prostokishin//Physics -Uspekhi. -2014. -Vol. 57(3). -P. 250-256. - DOI: 10.3367/UFNe.0184.201403d.0265
- Monin, A.S. On the laws of small-scale turbulent flow of liquids and gases/A.S. Monin, A.M. Yaglom//Russian Mathematical Surveys. -1963. -Vol. 18(5). -P. 89-109. - - DOI: 10.1070/RM1963v018n05ABEH004133
- Millionschikov, M.D. Decay of homogeneous isotropic turbulence in a viscous incompressible fluid/M.D. Millionschikov//Doklady Akademii Nauk SSSR. -1939. -Vol. 22(5). -P. 236-240. -.
- Millionschikov, M.D. On the theory of homogeneous isotropic turbulence/M.D. Millionschikov//Doklady Akademii Nauk SSSR. -1941. -Vol. 32(9). -P. 611-614. -.
- Zhu, X. Free-space optical communications through atmospheric turbulence channels/X. Zhu, J.M. Kahn//IEEE Transactions on Communications. -2002. -Vol. 50. -P. 1293-1300.
- Goodman, J. Statistical Optics/J. Goodman//John Wiley & Sons, 2005.
- Andrews, L.C. An analytical model for the refractive index power spectrum and its application to optical scintillations in the atmosphere/L.C. Andrews//Journal of Modern Optics. -1992. -Vol. 39. -P. 1849-1853.
- Hill, R.J. Spectra of fluctuations in refractivity, temperature, humidity, and the temperature-humidity co-spectrum in the inertial and dissipation ranges/R.J. Hill//Radio Science. -1978. -Vol. 13. -P. 953-961.
- Dalaudier, F. Direct comparison between in situ and radar measurements of temperature fluctuation spectra: a puzzling results/F. Dalaudier, M. Crochet, C. Sidi//Radio Science. -1989. -Vol. 24(3). -P. 311-324. - DOI: 10.1029/RS024i003p00311
- Belen'kii, M.S. Preliminary experimental evidence of anisotropy of turbulence and the effect of non-Kolmogorov turbulence on wavefront tilt statistics/M.S. Belen'kii, J.D. Barchers, S.J. Karis, C.L. Osmon, J.M. Brown, R.Q. Fugate//Proceedings of SPIE. -1999. -Vol. 3762. -P. 396-406. - DOI: 10.1117/12.363597
- Joseph, B. Variability of turbulence and its outer scales in a model tropopause jet. Joseph B, Mahalov A, Nicolaenko B, Tse KL.//Journal of the Atmospheric Sciences. -2004. -Vol. 61. -P. 621-643. -DOI: 10.1175/1520-0469(2004)0612.0.CO;2.
- Mahalov, A. Eddy mixing in jet-stream turbulence under stronger stratification/A. Mahalov, B. Nicolaenko, K.L. Tse, B. Joseph//Geophysical Research Letters. -2004. -Vol. 31(23). -L23111. - DOI: 10.1029/2004GL021055
- Zilberman, A. LIDAR study of aerosol turbulence characteristics in the troposphere: Kolmogorov and non-Kolmogorov turbulence/A. Zilberman, E. Golbraikh, N.S. Kopeika, A. Virtser, I. Kupershmidt, Y. Shtemler//Atmospheric Research. -2008. -Vol. 88. -P. 66-77. - DOI: 10.1016/j.atmosres.2007.10.003
- Korotkova, O. The effect of the jet-stream on the intensity of laser beams propagating along slanted paths in the upper layers of the turbulent atmosphere/O. Korotkova, N. Farwell, A. Mahalov//Waves in Random and Complex Media. -2009. -Vol. 19(4). -P. 692-702. - DOI: 10.1080/17455030903127653
- Zilberman, A. Propagation of electromagnetic waves in Kolmogorov and non-Kolmogorov atmospheric turbulence: three-layer altitude model/A. Zilberman, E. Golbraikh, N.S. Kopeika//Applied Optics. -2008. -Vol. 47(34). -P. 6385-6391. - DOI: 10.1364/AO.47.006385
- Toselli, I. Free-space optical system performance for laser beam propagation through non-Kolmogorov turbulence/I. Toselli, L.C. Andrews, R.L. Phillips, V. Ferrero//Optical Engineering. -2008. -Vol. 47(2). -026003. - DOI: 10.1117/1.2870113
- Rao, C. Spatial and temporal characterization of phase fluctuations in non-Kolmogorov atmospheric turbulence/C. Rao, W. Jiang, N. Ling//Journal of Modern Optics. -2000. -Vol. 47(6). -P. 1111-1126. - DOI: 10.1080/09500340008233408
- Charnotskii, M.M. Intensity fluctuations of flat-topped beam in non-Kolmogorov weak turbulence: comment/M.M. Charnotskii//Journal of the Optical Society of America A. -2012. -Vol. 29(9). -P. 1838-1840. - DOI: 10.1364/JOSAA.29.001838
- Consortini, A.A. Investigation of atmospheric turbulence by narrow laser beams/A.A. Consortini, L. Ronchi, L. Stefanutti//Applied Optics. -1970. -Vol. 9(11). -P. 2543-2547. - DOI: 10.1364/AO.9.002543
- Grechko, G.M. Anisotropy of spatial structures in the middle atmosphere/G.M. Grechko, A.S. Gurvich, V. Kan, S.V. Kireev, S.A. Savchenko//Advances in Space Research. -1992. -Vol. 12. -P. 169-175.
- Dalaudier, F. Direct evidence of ‘Sheets' in the atmospheric temperature field/F. Dalaudier, C. Sidi//Journal of the Atmospheric Sciences. -1994. -Vol. 51. -P. 237-248.
- Wang, F. Random optical beam propagation in anisotropic atmospheric turbulence along horizontal links/F. Wang, O. Korotkova//Optics Express. -2016. -Vol. 24(21). -P. 24422-24434. - DOI: 10.1364/OE.24.024422
- Andrews, L.C. Laser beam propagation in the turbulent atmosphere/L.C. Andrews, R.L. Phillips. -2nd ed. -Bellington: SPIE Press, 2005.
- Gbur, G. Angular spectrum representation for propagation of arbitrary coherent and partially coherent beams through atmospheric turbulence/G. Gbur, O. Korotkova//Journal of the Optical Society of America A. -2007. -Vol. 24(3). -P. 745-752. - DOI: 10.1364/JOSAA.24.000745
- Shirai, T. Mode analysis of spreading of partially coherent beams propagating through atmospheric turbulence/T. Shirai, A. Dogariu, E. Wolf//Journal of the Optical Society of America A. -2003. -Vol. 20(6). -P. 1094-1102. - DOI: 10.1364/JOSAA.20.001094
- Mandel, L. Optical Coherence and Quantum Optics/L. Mandel, E. Wolf. -Cambridge: Cambridge University Press, 1995.
- Korotkova, O. Color changes in stochastic light fields propagating in non-Kolmogorov turbulence/O. Korotkova, E. Shchepakina//Optics Letters. -2010. -Vol. 35(22). -P. 3772-3774. - DOI: 10.1364/OL.35.003772
- Korotkova, O. Spectral changes of stochastic electromagnetic beams propagating in atmospheric turbulence/O. Korotkova, J. Pu, E. Wolf//Journal of Modern Optics. -2008. -Vol. 55(8). -P. 1199-1208. - DOI: 10.1080/09500340701627230
- Shchepakina, E. Spectral changes in stochastic light beams propagating in turbulent ocean/E. Shchepakina, N. Farwell, O. Korotkova//Applied Physics B. -2011. -Vol. 105(2). -P. 415. - DOI: 10.1007/s00340-011-4626-9
- Nikishov, V.V. Spectrum of turbulent fluctuation of the sea-water refractive index/V.V. Nikishov, V.I. Nikishov//International Journal of Fluid Mechanics Research. -2000. -Vol. 27(1). -P. 82-98. - DOI: 10.1615/InterJFluidMechRes.v27.i1.70
- Alford, M. An ocean refractometer: resolving millimeter-scale turbulent density fluctuations via the refractive index/M. Alford, D. Gerdt, C. Adkins//Journal of Atmospheric and Oceanic Technology. -2006. -Vol. 23(1). -P. 121-137. - DOI: 10.1175/JTECH1830.1
- Schmitt, J.M. Turbulent nature of refractive-index variations in biological tissue/J.M. Schmitt, G. Kumar//Optics Letters. -1996. -Vol. 21(16). -P. 1310-1312. - DOI: 10.1364/OL.21.001310
- Schmitt, J.M. Optical scattering properties of soft tissue: a discrete particle model/J.M. Schmitt, G. Kumar//Applied Optics. -1998. -Vol. 37(13). -P. 2788-2797. - DOI: 10.1364/AO.37.002788
- Hill, R.J. Optical propagation in turbulent water/R.J. Hill//Journal of the Optical Society of America. -1978. -Vol. 68(8). -P. 1067-1072. - DOI: 10.1364/JOSA.68.001067
- Wolf, E. New theory of partial coherence in the space-frequency domain. Part I: spectra and cross spectra of steady-state sources/E. Wolf//Journal of the Optical Society of America. -1982. -Vol. 72(3). -P. 343-351. - DOI: 10.1364/JOSA.72.000343
- Mercer, J. Functions of positive and negative type and their connection with the theory of integral equations/J. Mercer//Philosophical Transactions of the Royal Society A. -1909. -Vol. 209. -P. 441-458.
- Mei, Z. Random sources generating ring-shaped beams/Z. Mei, O. Korotkova//Optics Letters. -2013. -Vol. 38(2). -P. 91-93. - DOI: 10.1364/OL.38.000091
- Zhou, Y. Propagation properties of Laguerre-Gaussian correlated Schell-model beam in non-Kolmogorov turbulence/Y. Zhou, Y. Yuan, J. Qu, W. Huang//Optics Express. -2016. -Vol. 24: -P. 10682-10693. - DOI: 10.1364/OE.24.010682
- Cang, J. Propagation of Laguerre-Gaussian and Bessel-Gaussian Schell-model beams through paraxial optical systems in turbulent atmosphere/J. Cang, P. Xiu, X. Liu//Optics and Laser Technology. -2013. -Vol. 54(30). -P. 35-41. - DOI: 10.1016/j.optlastec.2013.05.002
- Korotkova, O. Random sources for rectangular far fields/O. Korotkova//Optics Letters. -2014. -Vol. 39(1). -P. 64-67. - DOI: 10.1364/OL.39.000064
- Ishimaru, A. Wave propagation and scattering in random media/A. Ishimaru. -Piscataway, NJ: IEEE Press, 1997. -ISBN: 0-7803-4717-X.
- Moscoso, M. Depolarization and blurring of optical images by biological tissue/M. Moscoso, J.B. Keller, G. Papanicolaou//Journal of the Optical Society of America A. -2001. -Vol. 18(4). -P. 948-960. - DOI: 10.1364/JOSAA.18.000948
- Xu, M. Fractal mechanisms of light scattreing in biological tissue and cells/M. Xu, R.R. Alfano//Optics Letters. -2005. -Vol. 30(22). -P. 3051-3053. - DOI: 10.1364/OL.30.003051
- Sheppard, C.J.R. Fractal model of light scattering in biological tissue and cells/C.J.R. Sheppard//Optics Letters. -2007. -Vol. 32(2). -P. 142-144. - DOI: 10.1364/OL.32.000142
- Korotkova, O. Tuning the spectral composition of random beams propagating in free space and in a turbulent atmosphere/O. Korotkova, E. Shchepakina//Journal of Optics. -2013. -Vol. 15(7). -075714. - DOI: 10.1088/2040-8978/15/7/075714
- Shchepakina, Е. Spectral Gaussian Schell-model beams/Е. Shchepakina, O. Korotkova//Optics Letters. -2013. -Vol. 38(13). -P. 2233-2236. - DOI: 10.1364/OL.38.002233
- Sahin, S. Light sources generating far fields with tunable flat profiles/S. Sahin, O. Korotkova//Optics Letters. -2012. -Vol. 37(14). -P. 2970-2972. - DOI: 10.1364/OL.37.002970
- Korotkova, O. Multi-Gaussian Schell-model beams/O. Korotkova, S. Sahin, E. Shchepakina//Journal of the Optical Society of America A. -2012. -Vol. 29(10). -P. 2159-2164. - DOI: 10.1364/JOSAA.29.002159
- Korotkova, O. Random sources for optical frames/O. Korotkova, E. Shchepakina//Optics Express. -2014. -Vol. 22(9). -P. 10622-10633. - DOI: 10.1364/OE.22.010622
- Zhang, Y. Random source generating far field with elloptical flat-topped beam profile/Y. Zhang, Y. Cai//Journal of Optics. -2014. -Vol. 16(7). -075704. - DOI: 10.1088/2040-8978/16/7/075704
- Chen, Y. Self-splitiing properties of a Hermite-Gaussian correlated Schell-model beams/Y. Chen, J. Gu, F. Wang, Y. Cai//Physical Review A. -2015. -Vol. 91. -013823. - DOI: 10.1103/PhysRevA.91.013823
- Ma, L. Optical coherence gratings and lattices/L. Ma, S.A. Ponomarenko//Optics Letters. -2014. -Vol. 39(23). -P. 6656-6659. - DOI: 10.1364/OL.39.006656
- Mei, Z. Two types of sinc Schell-model beams and their propagation characteristics/Z. Mei//Optics Letters. -2014. -Vol. 39(14). -P. 4188-4191. - DOI: 10.1364/OL.39.004188
- Mei, Z. Gaussian Schell-model arrays/Z. Mei, D. Zhao, O. Korotkova, Y. Mao//Optics Letters. -2015. -Vol. 40(23). -P. 5662-5665. - DOI: 10.1364/OL.40.005662
- Wang, F. Random sources for beams with azimuthal intensity variation/F. Wang, O. Korotkova//Optics Letters. -2016. -Vol. 41(3). -P. 516-519. - DOI: 10.1364/OL.41.000516
- Li, J. Random sources for cusped beams/J. Li, F. Wang, O. Korotkova//Optics Express. -2016. -Vol. 24(16). -P. 17779-17791. - DOI: 10.1364/OE.24.017779
- Mei, Z. Light sources generating self-splitting beams and their propagation in non-Kolmogorov turbulence/Z. Mei//Optics Express. -2014. -Vol. 22(11). -P. 13029-13040. - DOI: 10.1364/OE.22.013029
- Lu, C. Propagation of electromagnetic multi-Gaussian Schell-model beams with astigmatic aberration in turbulent ocean/C. Lu, D. Zhao//Applied Optics. -2016. -Vol. 55(29). -P. 8196-8200. - DOI: 10.1364/AO.55.008196
- Yu, J. Splitting and combining properties of an elegant Hermite-Gaussian correlated Schell-model beam in Kolmogorov and non-Kolmogorov turbulence/J. Yu, Y. Chen, L. Liu, X. Liu, Y. Cai//Optics Express. -2015. -Vol. 23(10). -P. 13467-13481. - DOI: 10.1364/OE.23.013467
- Mao, Y. Propagation of Gaussian Schell-model array beams in free space and atmospheric turbulence/Y. Mao, Z. Mei, J. Gu//Optics & Laser Technology. -2016. -Vol. 86. -P. 14-20. - DOI: 10.1016/j.optlastec.2016.06.007
- Lajunen, H. Propagation characteristics of partially coherent beams with spatially varying correlations/H. Lajunen, T. Saastamoinen//Optics Letters. -2011. -Vol. 36(20). -P. 4104-4106. - DOI: 10.1364/OL.36.004104
- Tong, Z. Nonuniformly correlated light beams in uniformly correlated media/Z. Tong, O. Korotkova//Optics Letters. -2012. -Vol. 37(15). -P. 3240-3242. - DOI: 10.1364/OL.37.003240
- Mei, Zh. Cosine-Gaussian Schell-model sources/Zh. Mei, O. Korotkova//Optics Letters. -2013. -Vol. 38(14). -P. 2578-2580. - DOI: 10.1364/OL.38.002578
- Mei, Zh. Propagation of Cosine-Gaussian correlated Schell-model beams in atmospheric turbulence/Zh. Mei, E. Shchepakina, O. Korotkova//Optics Express. -2013. -Vol. 21(15). -P. 17512-17519. - DOI: 10.1364/OE.21.017512
- Aksenov, V.P. Increase in laser beam resistance to random inhomogeneities of atmospheric permittivity with an optical vortex included in the beam structure/V.P. Aksenov, Ch.E. Pogutsa//Applied Optics. -2012. -Vol. 51(30). -P. 7262-7267. - DOI: 10.1364/AO.51.007262
- Kazanskiy, N.L. Research complex solutions for Computer Optics problems/N.L. Kazanskiy//Computer Optics. -2006. -Vol. 29. -P. 58-77.
- Gbur, G. 'Hidden' singularities in partially coherent wavefields/G. Gbur, T.D. Visser, E. Wolf//Journal of Optics A: Pure and Applied Optics. -2004. -Vol. 6(5). -P. S239-S242. - DOI: 10.1088/1464-4258/6/5/017
- Gbur, G. Complete transverse representation of a correlation singularity/G. Gbur, G.A. Swartzlander//Journal of the Optical Society of America B. -2008. -Vol. 25(9). -P. 1422-1429. - DOI: 10.1364/JOSAB.25.001422
- Chen, B. Propagation of partially coherent Bessel-Gaussian beams in turbulent atmosphere/B. Chen, Z. Chen, J. Pu//Optics & Laser Technology. -2008. -Vol. 40(6). -P. 820-827. - DOI: 10.1016/j.optlastec.2007.11.011
- Lukin, V.P. Beam spreading of vortex beams propagating in turbulent atmosphere/V.P. Lukin, P.A. Konyaev, V.A. Sennikov//Applied Optics. -2012. -Vol. 51(10). -P. C84-C87. - DOI: 10.1364/AO.51.000C84
- Chen, Z. Experimental investigation on the scintillation index of vortex beams propagating in simulated atmospheric turbulence/Z. Chen, C. Li, P. Ding, J. Pu, D. Zhao//Applied Physics B. -2012. -Vol. 107(2). -P. 469-472. - DOI: 10.1007/s00340-012-4943-7
- Li, J. Partially coherent vortex beams propagating through slant atmospheric turbulence and coherence vortex evolution/J. Li, H. Zhang, B. Lu//Optics & Laser Technology. -2010. -Vol. 42(2). -P. 428-433. - DOI: 10.1016/j.optlastec.2009.08.019
- Cheng, W. Propagation of vector vortex beams through a turbulent atmosphere/W. Cheng, J.W. Haus, Q. Zhan//Optics Express. -2009. -Vol. 17(20). -P. 17829-17836. - DOI: 10.1364/OE.17.017829
- Liu, X. Investigation on the scintillation reduction of elliptical vortex beams propagating in atmospheric turbulence/X. Liu, J. Pu//Optics Express. -2011. -Vol. 19(27). -P. 26444-26450. - DOI: 10.1364/OE.19.026444
- Gibson, G. Free-space information transfer using light beams carrying orbital angular momentum/G. Gibson, J. Courtial, M.J. Padgett, M. Vasnetsov, V. Pas'ko, S.M. Barnett, S. Franke-Arnold//Optics Express. -2004. -Vol. 12(22). -P. 5448-5456. - DOI: 10.1364/OPEX.12.005448
- Čelechovský, R. Optical implementation of the vortex information channel/R. Čelechovský, Z. Bouchal//New Journal of Physics. -2007. -Vol. 9(9). -P. 328. - DOI: 10.1088/1367-2630/9/9/328
- Khonina, S.N. Optical vortices in a fiber: mode division multiplexing and multimode self-imaging/S.N. Khonina, N.L. Kazanskiy, V.A. Soifer. -In book: Recent progress in optical fiber research/ed. by M. Yasin, S.W. Harun, H. Arof. -Chapter 15. -Rijeka, Croatia: InTech, 2012. -ISBN 978-953-307-823-6.
- Anguita, J.A. Turbulence-induced channel crosstalk in an orbital angular momentum-multiplexed free-space optical link/J.A. Anguita, M.A. Neifeld, B.V. Vasic//Applied Optics. -2008. -Vol. 47(13). -P. 2414-2429. - DOI: 10.1364/AO.47.002414
- Soifer, V.A. Laser beam mode selection by computer-generated holograms/V.A. Soifer, M.A. Golub//Boca Raton: CRC Press, 1994. -ISBN 0-8493-2476-9.
- Berdagué, S. Mode division multiplexing in optical fibers/S. Berdagué, P. Facq//Applied Optics. -1982. -Vol. 21(11). -P. 1950-1955. - DOI: 10.1364/AO.21.001950
- Anderson, D.Z. Stabilization of the speckle pattern of a multimode fiber undergoing bending/D.Z. Anderson, M.A. Bolshtyansky, B.Ya. Zel'dovich//Optics Letters. -1996. -Vol. 21(11). -P. 785-787. - DOI: 10.1364/OL.21.000785
- Bolshtyansky, M.A. Stabilization of transmission function: theory for an ultrathin endoscope of one multimode fiber/M.A. Bolshtyansky, B.Ya. Zel'dovich//Applied Optics. -1997. -Vol. 36(16). -P. 3673-3681. - DOI: 10.1364/AO.36.003673
- Shinmura, Y. Observation of mode in graded-index optical fibers with bending and cross talk in MDM/Y. Shinmura, H. Ezoe, M. Yoshikawa//IEICE Transactions on Electronics. -1997. -Vol. E80-C(6). -P. 828-830.
- Marcuse, D. Theory of dielectric optical waveguides/D. Marcuse. -New York: Academic Press, Inc., 1974.
- Raddatz, L. An experimental and theoretical study of the offset launch technique for the enhancement of the bandwidth of multimode fibre links/L. Raddatz, I.H. White, D.G. Cunningham, M.C. Nowell//Journal of Lightwave Technology. -1998. -Vol. 16(3). -P. 324-331.
- Stuart, H.R. Dispersive multiplexing in multimode fiber/H.R. Stuart. -In: Optical Fiber Communication Conference, OSA Technical Digest Series (Optical Society of America, 2000). -2000. -ThV2.
- Koonen, T. Mode group diversity multiplexing for multi-service in-house networks using multi-mode polymer optical fibre/T. Koonen, H. van den Boom, F. Willems, J. Bergmans, G.-D. Khoe. -Proceedings Symposium IEEE/LEOS Benelux Chapter. -Amsterdam, 2002. -P. 183-186.
- Sakaguchi, J. Space Division Multiplexed Transmission of 109-Tb/s Data Signals Using Homogeneous Seven-Core Fiber/J. Sakaguchi, Y. Awaji, N. Wada, A. Kanno, T. Kawanishi, T. Hayashi, T. Taru, T. Kobayashi, M. Watanabe//Journal of Lightwave Technology. -2012. -Vol. 30(4). -P. 658-665. - DOI: 10.1109/JLT.2011.2180509
- Huang, H. 100 Tbit/s free-space data link enabled by three-dimensional multiplexing of orbital angular momentum, polarization, and wavelength/H. Huang, G. Xie, Y. Yan, N. Ahmed, Y. Ren, Y. Yue, D. Rogawski, M.J. Willner, B.I. Erkmen, K.M. Birnbaum, S.J. Dolinar, M.P.J. Lavery, M.J. Padgett, M. Tur, A.E. Willner//Optics Letters. -2014. -Vol. 39(2). -P. 197-200. - DOI: 10.1364/OL.39.000197
- Mohammadi, S.M. Orbital angular momentum in radio -a system study/S.M. Mohammadi, L.K.S. Daldorff, J.E.S. Bergman, R.L. Karlsson, B. Thide, K. Forozesh, T.D. Carozzi, B. Isham//IEEE Transactions on Antennas and Propagation. -2010. -Vol. 58(2). -P. 565-572. - DOI: 10.1109/TAP.2009.2037701
- Yan, Y. High-capacity millimetre-wave communications with orbital angular momentum multiplexing/Y. Yan, G. Xie, M.P.J. Lavery, H. Huang, N. Ahmed, C. Bao, Y. Ren, Y. Cao, L. Li, Zh. Zhao, A.F. Molisch, M. Tur, M.J. Padgett, A.E. Willner//Nature Communications. -2014. -Vol. 5. -4876. - DOI: 10.1038/ncomms5876
- Poole, C.D. Bend-induced loss for the higher-order spatial mode in a dual-mode fiber/C.D. Poole, S.-C. Wang//Optics Letters. -1993. -Vol. 18(20). -P. 1712-1714. - DOI: 10.1364/OL.18.001712
- Hwang, I.K. Long-period fiber gratings based on periodic microbends/I.K. Hwang, S.H. Yun, B.Y. Kim//Optics Letters. -1999. -Vol. 24(18). -P. 1263-1265. - DOI: 10.1364/OL.24.001263
- Lee, K.S. Fiber mode conversion with tilted gratings in an optical fiber/K.S. Lee, T. Erdogan//Journal of the Optical Society of America A. -2001. -Vol. 18(5). -P. 1176-1185. - DOI: 10.1364/JOSAA.18.001176
- Thornburg, W.Q. Selective launching of higher-order modes into an optical fiber with an optical phase shifter/W.Q. Thornburg, B.J. Corrado, X.D. Zhu//Optics Letters. -1994. -Vol. 19(7). -P. 454-456. - DOI: 10.1364/OL.19.000454
- Poon, A.W. Spiral morphology-dependent resonances in an optical fiber: effects of fiber tilt and focused Gaussian beam illumination/A.W. Poon, R.K. Chang, J.A. Lock//Optics Letters. -1998. -Vol. 23(14). -P. 1105-1107. - DOI: 10.1364/OL.23.001105
- Bolshtyansky, M.A. Use of skew rays in multimode fibers to generate speckle field with nonzero vorticity/M.A. Bolshtyansky, A.Yu. Savchenko, B.Ya. Zel'dovich//Optics Letters. -1999. -Vol. 24(7). -P. 433-435. - DOI: 10.1364/OL.24.000433
- Dubois, F. Selective mode excitation in graded-index multimode fiber by a computer-generated optical mask/F. Dubois, Ph. Emplit, O. Hugon//Optics Letters. -1994. -Vol. 19(7). -P. 433-435. - DOI: 10.1364/OL.19.000433
- Methods for Computer Design of Diffractive Optical Elements/L.L. Doskolovich, D.L. Golovashkin, V.V. Kotlyar, N.L. Kazanskiy, S.I. Kharitonov, S.N. Khonina, V.S. Pavelyev, R.V. Skidanov, V.A. Soifer, V.S. Solovyev, A.V. Volkov, G.V. Usplenyev. -Ed. by V.A. Soifer. -New York: John Wiley & Sons, Inc., 2002. -ISBN: 978-0-471-09533-0.
- Nanophotonics and its application in remote sensing systems/E.A. Bezus, D.A. Bykov, L.L. Doskolovich, N.L. Kazanskiy, S.V. Karpeev, S.I. Kharitonov, S.N. Khonina, A.A. Morozov, P.G. Seraphimovich, R.V. Skidanov, V.A. Soifer. -Ed. by V.A. Soifer. -Samara: “Novaya Tehnika” Publisher, 2016. -.
- Karpeev, S.V. DOE-aided Analysis and Generation of Transverse Coherent Light Modes in a Stepped-Index Optical Fiber/S.V. Karpeev, V.S. Pavelyev, M. Duparre, B. Luedge, C. Rockstuhl, S. Schroeter//Optical Memory And Neural Networks (Information Optics). -2003. -Vol. 12(1). -P. 27-34.
- Karpeev, S.V. Step-like fiber modes excitement with binary phase DOEs/S.V. Karpeev, N.L. Kazanskiy, V.S. Pavelyev, M. Duparre, B. Luedge, S. Schroeter//Optical Memory & Neural Networks (Information Optics). -2005. -Vol. 14(4). -P. 223-228.
- Khonina, S.N. Excitation and detection of angular harmonics in an optical fiber using DOE/S.N. Khonina, S.V. Karpeev//Computer Optics. -2004. -Vol. 26. -P. 16-26. -.
- Karpeev, S.V. Experimental excitation and detection of angular harmonics in a step-index optical fiber/S.V. Karpeev, S.N. Khonina//Optical Memory & Neural Networks (Information Optics). -2007. -Vol. 16(4). -P. 295-300. -DOI: 10.3103/S1060992X07040133.
- Nye, J.F. Dislocations in wave trains/J.F. Nye, M.V. Berry//Proceedings of The Royal Society A. -1974. -Vol. 336(1605). -P. 165-190. - DOI: 10.1098/rspa.1974.0012
- Structured light and its applications: an introduction to phase-structured beams and nanoscale optical forces/Ed. by D.L. Andrews. -Burlington, MA, San Diego, California, London, UK: Elsevier Inc., 2008. -ISBN: 978-0-12-374027-4.
- Bereznyi, A.E. Bessel-optics/A.E. Bereznyi, A.M. Prokhorov, I.N. Sisakyan, V.A. Soifer//Doklady Akademii Nauk SSSR. -1984. -Vol. 274(4). -P. 802-804. -.
- Khonina, S.N. The rotor phase filter/S.N. Khonina, V.V. Kotlyar, M.V. Shinkarev, V.A. Soifer, G.V. Uspleniev//Journal of Modern Optics. -1992. -Vol. 39(5). -P. 1147-1154. - DOI: 10.1080/09500349214551151
- Kotlyar, V.V. Generation of phase singularity through diffracting a plane or Gaussian beam by a spiral phase plate/V.V. Kotlyar, A.A. Almazov, S.N. Khonina, V.A. Soifer, H. Elfstrom, J. Turunen//Journal of the Optical Society of America A. -2005. -Vol. 22(5). -P. 849-861. - DOI: 10.1364/JOSAA.22.000849
- Bazhenov, V.Yu. Screw dislocations in light wavefronts/V.Yu. Bazhenov, M.S. Soskin, M.V. Vasnetsov//Journal of Modern Optics. -1992. -Vol. 39(5). -P. 985-990. - DOI: 10.1080/09500349214551011
- Heckenberg, N.R. Generation of optical phase singularities by computer-generated holograms/N.R. Heckenberg, R. McDuff, C.P. Smith, A.G. White//Optics Letters. -1992. -Vol. 17(3). -P. 221-223. - DOI: 10.1364/OL.17.000221
- Khonina, S.N. Generating a couple of rotating nondiffracting beams using a binary-phase DOE/S.N. Khonina, V.V. Kotlyar, V.A. Soifer, J. Lautanen, M. Honkanen, J. Turunen//Optik. -1999. -Vol. 110(3). -P. 137-144.
- Kotlyar, V.V. Rotation of laser beams with zero of the orbital angular momentum/V.V. Kotlyar, S.N. Khonina, R.V. Skidanov, V.A. Soifer//Optics Communications. -2007. -Vol. 274(1). -P. 8-14. - DOI: 10.1016/j.optcom.2007.01.059
- Berry, M.V. Optical vortices evolving from helicoidal integer and fractional phase steps/M.V. Berry//Journal of Optics A: Pure and Applied Optics. -2004. -Vol. 6. -P. 259-268. - DOI: 0.1088/1464-4258/6/2/018
- Khonina, S.N. Diffraction patterns with mth order symmetry generated by sectional spiral phase plates/S.N. Khonina, A.P. Porfirev, A.V. Ustinov//Journal of Optics. -2015. -Vol. 17(12). -125607. -DOI: 10.1088/2040-8978/17/12/125607.
- McLeod, J.H. The axicon: a new type optical element/J.H. McLeod//Journal of the Optical Society of America. -1954. -Vol. 44(8). -P. 592-597. - DOI: 10.1364/JOSA.44.000592
- Khonina, S.N. Trochoson/S.N. Khonina, V.V. Kotlyar, V.A. Soifer, M.V. Shinkaryev, G.V. Uspleniev//Optics Communications. -1992. -Vol. 91(3-4). -P. 158-162. -DOI: 10.1016/0030-4018(92)90430-Y.
- Volostnikov, V.G. A device for focusing the radiation into the ring/V.G. Volostnikov, E.G. Abramochkin, N.N. Losevskii. -USSR Author's Certificate 1730606, published 22.05.1990. Bulletin 16 of 30.04.1992.
- Khonina, S.N. Experimental demonstration of the generation of the longitudinal E-field component on the optical axis with high-numerical-aperture binary axicons illuminated by linearly and circularly polarized beams/S.N. Khonina, S.V. Karpeev, S.V. Alferov, D.A. Savelyev, J. Laukkanen, J. Turunen//Journal of Optics. -2013. -Vol. 15(8). -085704. -DOI: 10.1088/2040-8978/15/8/085704.
- Degtyarev, S.A. Photonic nanohelix generated by a binary spiral axicon/S.A. Degtyarev, A.P. Porfirev, S.N. Khonina//Applied Optics. -2016. -Vol. 55(12). -P. B44-B48. -DOI: 10.1364/AO.55.000B44.
- Kotlyar, V.V. Hypergeometric modes/V.V. Kotlyar, R.V. Skidanov, S.N. Khonina, V.A. Soifer//Optics Letters. -2007. -Vol. 32(7). -P. 742-744. -DOI: 10.1364/OL.32.000742.
- Khonina, S.N. Encoded binary diffractive element to form hyper-geometric laser beams/S.N. Khonina, S.A. Balalayev, R.V. Skidanov, V.V. Kotlyar, B. Paivanranta, J. Turunen//Journal of Optics A: Pure and Applied Optics. -2009. -Vol. 11. -065702.
- Lyubopytov, V.S. 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/V.S. Lyubopytov, A.Z. Tlyavlin, A.Kh. Sultanov, V.Kh. Bagmanov, S.N. Khonina, S.V. Karpeev, N.L. Kazanskiy//Computer Optics. -2013. -Vol. 37(3). -P. 352-359.
- Kotlyar, V.V. Light field decomposition in angular harmonics by means of diffractive optics/V.V. Kotlyar, S.N. Khonina, V.A. Soifer//Journal of Modern Optics. -1998. -Vol. 45(7). -P. 1495-1506. - DOI: 10.1080/09500349808230644
- Khonina, S.N. An analysis of the angular momentum of a light field in terms of angular harmonics/S.N. Khonina, V.V. Kotlyar, V.A. Soifer, P. Paakkonen, J. Simonen, J. Turunen//Journal of Modern Optics. -2001. -Vol. 48(10). -P. 1543-1557.
- Khonina, S.N. Vortex phase elements as detectors of polarization state/S.N. Khonina, D.A. Savelyev, N.L. Kazanskiy//Optics Express. -2015. -Vol. 23(14). -P. 17845-17859. - DOI: 10.1364/OE.23.017845