Journal of Quantum Optics, Volume. 28, Issue 2, 140(2022)
The Propagation Characteristics of the Third and Fourth Order Vortex Beams in Bessel Lattice
[1] [1] CHEN Y, TAVAKKOLNIA I, ALVARADO A, et al. On the Capacity of Amplitude Modulated Soliton Communication over Long Haul Fibers[J]. Entropy, 2020, 22(8): 899. DOI: 10.3390/e220808.
[2] [2] XIE J Q, ZHU X, HE Y J. Vector solitons in nonlinear fractional Schrdinger equations with parity-time-symmetric optical lattices[J]. Nonlinear Dyn, 2019, 97: 1287-1294. DOI: 10.1007/s 11071-019-05048-9.
[3] [3] HANIF Y, SARFRAZ H, SALEEM U. Dynamics of loop soliton solutions of PT-symmetric nonlocal short pulse equation[J]. Nonlinear Dyn, 2020, 100: 1559-1569. DOI: 10.1007/s11071-020-05548-z.
[4] [4] ZAYED E, ALNGAR M, BISWAS A, et al. Solitons in nonlinear directional couplers with optical metamaterials by unified Riccati equation approach[J]. Optik-International Journal for Light and Electron Optics, 2021, 241(4):167244. DOI: 10.1016/j.ijleo.2021.167244.
[5] [5] GREEN S. Fluid vortices[J]. International Journal of Multiphase Flow, 1996, 22: 91-91. DOI: 10.1016/s0301-9322(97)88106-2.
[6] [6] LUGT H J. Vortex Flow in Nature and Technology[J]. Journal of Applied Mechanics, 1984, 51(2): 450-450. DOI: 10.1115/1.3167650.
[7] [7] DESYATNIKOV A S, KIVSHAR Y S, TOMER L. Optical vortices and vortex solitons[J]. Progress in Optics, 2005, 47: 291-391. DOI: 10.1016/S0079-6638(05)47006-7.
[8] [8] MATTHEWS M R, ANDERSON B P, HALJAN P C, et al. Vortices in a Bose-Einstein condensate[J]. Phys Rev Lett, 1999, 83(13): 2498-2501. DOI: 10.1103/PhysRevLett.83.2498.
[9] [9] WANG Q, WEI J N. Asymmetric multi-vortex solitons in nonlocal nonlinear media[J]. Results in Physics, 2020, 19: 103489. DOI: 10.1016/J.RINP.2020.103489.
[11] [11] MAIR A, VAZIRI A, WEIHS G, et al. Entanglement of Orbital Angular Momentum States of Photons[J]. Nature, 2001, 412(6844): 313-316. DOI: 10.1038/35085529.
[12] [12] SWARTZLANDER G A, LAW C T. Optical vortex solitons observed in Kerr nonlinear media[J]. Phys Rev Lett, 1992, 69(17): 2503. DOI: 10.1103/PhysRevLett.69.2503.
[13] [13] LIU X X, QIN Y L, JI K L, et al. Rotation and oscillation of gap vortex solitons in optically induced square photonic lattices with a self-focusing nonlinearity[J]. Laser Phys, 2021, 31: 045401. DOI: 10.1088/1555-6611/ABE240.
[14] [14] TIKHONENKO V, CHRISTOU J, LUTHER-DAVIES B, et al. Spiraling bright spatial solitons formed by the breakup of an optical vortex in a saturable self-focusing medium[J]. J Opt Soc Am B, 1995, 12: 2046-2053. DOI: 10.1364/JOSAB.12.002046.
[15] [15] NESHEV D N, ALEXANDER T J, OSTROVSKAYA E A, et al. Observation of discrete vortex solitons in optically induced photonic lattices[J]. Phys Rev Lett, 2004, 92(12): 123903. DOI: 10.1103/ PhysRevLett.92.123903.
[16] [16] FIRTH W J, SKRYABIN D V. Optical solitons carrying orbital angular momentum[J]. Phys Rev Lett, 1997, 79(13): 2450-2453. DOI: https://doi.org/10.1103/PhysRevLett.79.2450.
[18] [18] QUIROGA-TEXEIRO M, MICHINEL H. Stable azimuthal stationary state in quintic nonlinear optical media[J]. J Opt Soc Am B, 1994, 14(8): 2004-2009. DOI: 10.1364/JOSAB.14.002004.
[19] [19] MIHALACHE D, MAZILU D, LEDERER F, et al. Collisions between coaxial vortex solitons in the three-dimensional cubic-quintic complex Ginzburg-Landau equation[J]. Phys Rev A, 2008, 77(3): 033817. DOI: 10.1103/PhysRevA.77.033817.
[20] [20] SHEN M, ZHENG J J, KONG Q, et al. Stabilization of counter-rotating vortex pairs in nonlocal media[J]. Phys Rev A, 2012, 86(1): 013827. DOI: 10.1103/PhysRevA.86.013827.
[23] [23] WANG J, YANG J. Families of Vortex Solitons in Periodic Media[J]. Phys Rev A, 2008, 77(3): 156-156. DOI: http://dx.doi.org/10.1103/PhysRevA.77.033834.
[24] [24] NESHEV D N, ALEXANDER T J, OSTROVSKAYA E A, et al. Observation of discrete vortex solitons in optically induced photonic lattices[J]. Phys Rev Lett, 2004, 92(12): 123903. DOI: 10.1103/ Phys Rev Lett.92.123903.
[25] [25] FLEISCHER J W, BARTAL G, COHEN O, et al. Observation of vortex-ring “discrete” solitons in 2D photonic lattices[J]. Phys Rev Lett, 2004, 92(12): 123904. DOI: 10.1103/physrevlett. 92.123904.
[26] [26] HUANG J, WENG Y, CHEN P, et al. Dynamics of Multipole Solitons and Vortex Solitons in PT-Symmetric Triangular Lattices with Nonlocal Nonlinearity[J]. Applied Sciences, 2019, 9(18): 3731. DOI: 10.3390/app9183731.
[27] [27] REN X P, WANG H, WANG H C, et al. Stability of in-phase quadruple and vortex solitons in the parity-time-symmetric periodic potentials[J]. Opt Express, 2014, 22(16): 19774-19782. DOI: 10.1364/OE.22.019774.
[28] [28] LOBANOV V E, KARTASHOV Y V, VYSLOUKH V A, et al. Stable radially symmetric and azimuthally modula ted vortex solitons supported by localized gain[J]. Opt Lett, 2011, 36(1): 85-87. DOI: 10.1364/OL.36.000085.
[29] [29] BOROVKOVA O V, LOBANOV V E, KARTASHOV Y V, et al. Rotating vortex solitons supported by localized gain[J]. Opt Lett, 2011, 36(10): 1936-1938. DOI: 10.1364/OL.36.001936.
[30] [30] KARTASHOV Y V, KONOTOP V V, VYSLOUKH V A, et al. Vortex lattice solitons supported by localized gain[J]. Opt Lett, 2010, 35(19): 3177-3179. DOI: 10.1364/OL.35.003177.
[31] [31] MAO S, QIN Y, LI Y, et al. Stability of discrete vortex solitons in linear scaled-space square lattices[J]. Optics Communications, 2018, 426: 219-225. DOI: 10.1016/j.optcom.2018.05.011.
[32] [32] LIU S, RAO B, WANG M, et al. Non-diffracting optical bloch oscillations in hexagonal photonic lattices[J]. Opt Express, 2017, 25(7): 7475-7482. DOI: 10.1364/OE.25.007475.
[33] [33] CHRISTODOULIDES D N, LEDERER F, SILBERBERG Y. Discreting light behaviour in linear and nonlinear waveguide lattices[J]. Nature, 2003, 424(14): 817-823. DOI: 10.1038/nature01936.
[34] [34] FLEISCHER J W, SEGEV M, EFREMIDIS N K, et al. Observation of two-dimensional discrete solitons in optically induced nonlinear photonic lattices[J]. Nature, 2003, 422(13): 147-150. DOI: 10.1038/nature01452.
[35] [35] SHANDAROVA K V, SHANDAROV V M. “Incoherent”generation of spatial gap solitons within one-dimensional photorefractive photonic lattices in lithium niobate[J]. Laser Phys, 2007, 17(2): 152-156. DOI: 10.1134/S1054660X07020181.
[36] [36] ALEXANDER T J, DESYATNIKOV A S, KIVSHAR Y S. Multivortex solitons in triangular photonic lattices[J]. Opt Lett, 2007, 32(10): 1293-1295. DOI: 10.1364/OL.32.001293.
[37] [37] LING J C, XU B, CAI Z B. Internal oscillation of necklace solitons in Bessel photonic lattice imprinted in defocusing and focusing materials[J]. J Opt Soc Am B, 2011, 28(1): 93-99. DOI: 10.1364/JOSAB.28.000093.
[38] [38] KARTASHOV Y V, TORNER L. Composite vortex-ring solitons in Bessel photonic lattices[J]. J Opt Soc Am B, 2005, 22(7): 1366-1370. DOI: 10.1364/JOSAB.22.001366.
[39] [39] ZHANG B Z. Polarization vortex spatial optical solitons in Bessel optical lattices[J]. Phys Lett A, 2011, 375: 1110-1115. DOI: 10.1016/j.physleta.2011.01.027.
Get Citation
Copy Citation Text
JIA Yu-fei, ZHANG Su-ying. The Propagation Characteristics of the Third and Fourth Order Vortex Beams in Bessel Lattice[J]. Journal of Quantum Optics, 2022, 28(2): 140
Category:
Received: Jun. 24, 2021
Accepted: --
Published Online: Oct. 14, 2022
The Author Email: ZHANG Su-ying (zhangsy@sxu.edu.cn)