A note on superoscillations associated with Bessel beams

被引:44
|
作者
Berry, M. V. [1 ]
机构
[1] Univ Bristol, HH Wills Phys Lab, Bristol BS8 1TL, Avon, England
关键词
vortices; weak values; singularities;
D O I
10.1088/2040-8978/15/4/044006
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Waves involving Bessel functions can oscillate faster than their band-limited Fourier transforms suggest, with the superoscillations being fastest near phase singularities. Different waves representing a 'flyby' close to a phase singularity are analysed. These can superoscillate similarly, despite being differently normalized, or not normalizable at all.
引用
收藏
页数:5
相关论文
共 50 条
  • [1] Light beams with volume superoscillations
    Zacharias, Thomas
    Bahabad, Alon
    OPTICS LETTERS, 2020, 45 (13) : 3482 - 3485
  • [2] Superoscillations in Finite-Energy Airy Beams
    He, Yingjun
    Chen, Xingyuan
    Niu, Liting
    FRONTIERS IN PHYSICS, 2021, 9
  • [3] On Some Operators Associated to Superoscillations
    Aharonov, Y.
    Colombo, F.
    Sabadini, I.
    Struppa, D. C.
    Tollaksen, J.
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2013, 7 (04) : 1299 - 1310
  • [4] On Some Operators Associated to Superoscillations
    Y. Aharonov
    F. Colombo
    I. Sabadini
    D. C. Struppa
    J. Tollaksen
    Complex Analysis and Operator Theory, 2013, 7 : 1299 - 1310
  • [5] Generation of parallel Bessel beams and cosine Bessel beams based on metasurface
    Jiang, Xiquan
    Wu, Rui
    Jiang, Kun
    Xu, Jilian
    Yue, Zhiyuan
    Wang, Shuyun
    Teng, Shuyun
    OPTICS COMMUNICATIONS, 2024, 569
  • [6] Evanescent Bessel beams
    J Opt Soc Am A, 5 (1139):
  • [7] Evanescent Bessel beams
    Ruschin, S
    Leizer, A
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1998, 15 (05): : 1139 - 1143
  • [8] Spatiotemporal Bessel beams
    Dallaire, M.
    McCarthy, N.
    Piche, M.
    PHOTONICS NORTH 2007, PTS 1 AND 2, 2007, 6796 : O7963 - O7963
  • [9] Pulsed bessel beams
    Saari, P
    Sonajalg, H
    LASER PHYSICS, 1997, 7 (01) : 32 - 39
  • [10] Nonlinear Bessel beams
    Johannisson, P
    Anderson, D
    Lisak, M
    Marklund, M
    OPTICS COMMUNICATIONS, 2003, 222 (1-6) : 107 - 115