Астигматическое преобразование краевой дислокации дробного порядка
Автор: Котляр Виктор Викторович, Абрамочкин Евгений Григорьевич, Ковалв Алексей Андреевич, Налимов Антон Геннадьевич
Журнал: Компьютерная оптика @computer-optics
Рубрика: Дифракционная оптика, оптические технологии
Статья в выпуске: 4 т.46, 2022 года.
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Теоретически показано, что астигматическое преобразование краевой дислокации (прямой линии нулевой интенсивности) порядка n +a (действительное положительное число, n - целое число, 0
Астигматическое преобразование, дробный порядок, краевая дислокация, винтовая дислокация, эллиптический оптический вихрь
Короткий адрес: https://sciup.org/140295006
IDR: 140295006 | DOI: 10.18287/2412-6179-CO-1084
Список литературы Астигматическое преобразование краевой дислокации дробного порядка
- Abramochkin E, Volostnikov V. Beam transformations and nontransformed beams. Opt Commun 1991; 83(1-2): 123-135. DOI: 10.1016/0030-4018(91)90534-K.
- Lu B, Wu P. Analytical propagation equation of astigmatic Hermite-Gaussian beams through a 4x4 paraxial optical systems and their symmetrizing transformation. Opt Laser Technol 2003; 35: 497-504.
- Chen YF, Chay CC, Lee CY, Tung JC, Liang HC, Huang KT. Characterizing the propagation evolution of wave patterns and vortex structures in astigmatic transformations of Hermite-Gaussian beams. Laser Phys 2017; 28: 015002.
- Abramochkin EG, Razueva EV, Volostnikov VG. Her-mite-Laguerre-Gaussian beams in astigmatic optical systems. Proc SPIE 2008; 7009: 70090M. DOI: 10.1117/12.793382.
- Bekshaev AYa, Soskin MS, Vasnetsov MV. Transformation of higher-order optical vortices upon focusing by an astigmatic lens. Opt Commun 2004; 241: 237-247.
- Bekshaev AYa, Karamoch AI. Astigmatic telescopic transformation of a high-order optical vortex. Opt Commun 2008; 281: 5687-5696.
- Zhu K, Zhu J, Su Q, Tang H. Propagation properties of an astigmatic sin-Gaussian beam in strongly nonlocal nonlinear media. Appl Sci 2019; 9: 71.
- Huang TD, Lu TH. Large astigmatic laser cavity modes and astigmatic compensation. Appl Phys B 2018; 124: 72.
- Pan J, Shen Y, Wan Z, Fu X, Zhang H, Liu Q. Index-tunable structured-light beams from a laser with a in-tracavity astigmatic mode converter. Phys Rev Appl 2020; 14: 044048.
- Kotlyar VV, Kovalev AA, Porfirev AP, Kozlova ES. Three different types of astigmatic Hermite-Gaussian beams with orbital angular momentum. J Opt 2019; 21(11): 115601. DOI: 10.1088/2040-8986/ab42b5.
- Kotlyar VV, Kovalev AA, Porfirev AP. Vortex astigmatic Fourier-invariant Gaussian beams. Opt Express 2019; 27(2): 657-666. DOI: 10.1364/0E.27.000657.
- Kotlyar VV, Kovalev AA, Porfirev AP. Elliptic Gaussian optical vortices. Phys Rev A 2017; 95(5): 053805. DOI: 10.1103/PhysRevA.95.053805.
- Kotlyar VV, Kovalev AA, Porfirev AP. Astigmatic transforms of an optical vortex for measurement of its topologi-cal charge. Appl Opt 2017; 56(14): 4095-4104. DOI: 10.1364/AO.56.004095.
- Kotlyar VV, Kovalev AA, Porfirev AP. Vortex Hermite-Gaussian laser beams. Opt Lett 2015; 40(5): 701-704. DOI: 10.1364/OL.40.000701.
- Bazhenov VYu, Soskin MS, Vasnetsov MV. Screw dislocations in light wavefronts. J Mod Opt 1992; 39(5): 985990.
- Basistiy IV, Soskin MS, Vasnetsov MV. Optical wavefront dislocations and their properties. Opt Commun 1995; 119(5-6): 604-612.
- Petrov DV. Vortex-edge dislocation interaction in a linear medium. Opt Commun 2001; 188: 307-312.
- Petrov DV. Splitting of an edge dislocation by an optical vortex. Opt Quantum Electron 2002; 34: 759-773.
- He D, Yan H, Lu B. Interaction of the vortex and edge dislocation embedded in a cosh-Gaussian beam. Opt Commun 2009; 282: 4035-4044.
- Chen H, Wang W, Gao Z, Li W. Splitting of an edge dislocation by a vortex emergent from a nonparaxial beam. J Opt Soc Am B 2019; 36: 2804-2809.
- Kotlyar VV, Kovalev AA, Nalimov AG. Converting an «th-order edge dislocation to a set of optical vortices. Optik 2021; 243: 167453. DOI: 10.1016/j.ijleo.2021.167453.
- Berry MV. Optical vortices evolving from helicoidal integer and fractional phase steps. J Opt A-Pure Appl Opt 2004; 6: 259-268.
- Gbur G. Fractional vortex Hilbert's Hotel. Optica 2016; 3: 222-225.
- Alexeyev CN, Egorov YA, Volyar AV. Mutual transformations of fractional-order and integer-order optical vortices. Phys Rev A 2017; 96(6): 063807. DOI: 10.1103/PhysRevA.96.063807.
- Abramochkin EG, Volostnikov VG. Spiral-type beams: optical and quantum aspects. Opt Commun 1996; 125(4-6): 302-323. DOI: 10.1016/0030-4018(95)00640-0.
- Abramowitz M, Stegun IA. Handbook of mathematical functions: With formulas, graphs, and mathematical tables. National Bureau of Standards; 1965.
- Sedletskii AM. Asymptotics of the zeros of degenerate hy-pergeometric functions [In Russian]. Matematicheskie Za-metki 2007; 82(2): 262-271.
- Kotlyar VV, Kovalev AA, Abramochkin EG. Kummer laser beams with a transverse complex shift. J Opt 2020; 22(1): 015606. DOI: 10.1088/2040-8986/ab5ef1.
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