Topological transformations of speckles

被引:9
|
作者
Gateau, Jerome [1 ]
Claude, Ferdinand [2 ]
Tessier, Gilles [2 ,3 ]
Guillon, Marc [2 ,4 ]
机构
[1] Sorbonne Univ, CNRS, INSERM, LIB,UMR 7371,U1146, 15 Rue Ecole Med, F-75006 Paris, France
[2] Paris Descartes Univ, CNRS, Neurophoton Lab, Sorbonne Paris Cite,UMR 8250, Paris, France
[3] Sorbonne Univ, CNRS, INSERM, Inst Vis,UMR S968,UMR 7210, 17 Rue Moreau, F-75012 Paris, France
[4] Paris Descartes Univ, CNRS, SPPIN, Sorbonne Paris Cite,UMR 8003, Paris, France
关键词
OPTICAL VORTICES; DISLOCATIONS; WAVES; LIGHT;
D O I
10.1364/OPTICA.6.000914
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Deterministic control of coherent random light is highly important for information transmission through complex media. However, only a few simple speckle transformations can be achieved through diffusers without prior characterization. As recently shown, spiral wavefront modulation of the impinging beam allows permuting intensity maxima and intrinsic +/- 1-charged optical vortices. Here, we study this cyclic-group algebra when combining spiral phase transforms of charge n, with D-3- and D-4-point-group symmetry starlike amplitude modulations. This combination allows for statistical strengthening of permutations and controlling of the period to be 3 and 4, respectively. Phase saddle points are shown to complete the cycle. These results offer new tools to manipulate critical points in speckles. (C) 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement
引用
收藏
页码:914 / 920
页数:7
相关论文
共 50 条
  • [21] Transformations and homeomorphia in the topological spaces.
    Leray, J
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES, 1942, 214 : 938 - 940
  • [22] Topological transformations applied to structural mechanics
    Iran Univ of Science and Technology, Tehran, Iran
    Comput Struct, 4 (709-718):
  • [23] ALGEBRAIC TRANSFORMATIONS OF CADASTRAL TOPOLOGICAL DATA
    Lewandowicz, Elzbieta
    ENVIRONMENTAL ENGINEERING, VOLS 1-3, 2011, : 1369 - 1373
  • [24] On the small group of topological transformations of surfaces
    De Kerekjarto, B
    ACTA MATHEMATICA, 1943, 75 (01) : 129 - 138
  • [25] TOPOLOGICAL TRANSFORMATIONS OF SYNTHETIC DNA KNOTS
    DU, SM
    WANG, H
    TSEDINH, YC
    SEEMAN, NC
    BIOCHEMISTRY, 1995, 34 (02) : 673 - 682
  • [26] REPRESENTATION OF TOPOLOGICAL SEMIGROUPS BY CONTINUOUS TRANSFORMATIONS
    SHNEPERM.LB
    DOKLADY AKADEMII NAUK SSSR, 1966, 167 (04): : 768 - &
  • [27] TOPOLOGICAL ASPECTS OF CONFORMATIONAL TRANSFORMATIONS IN PROTEINS
    CHIAVARINI, S
    DESANTIS, P
    MOROSETTI, S
    PALLESCHI, A
    BIOPOLYMERS, 1984, 23 (08) : 1547 - 1563
  • [28] Supersymmetric transformations of photonic topological systems
    Queralto, G.
    Kremer, M.
    Heinrich, M.
    Ahufinger, V.
    Mompart, J.
    Szameit, A.
    2019 CONFERENCE ON LASERS AND ELECTRO-OPTICS (CLEO), 2019,
  • [29] On the Topological Entropy of the Discretized Markov β-Transformations
    Fujisaki, Hiroshi
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2016, E99A (12) : 2238 - 2247
  • [30] Topological approach to solve frame structures using topological collections and transformations
    Chaabane, Mariem Miladi
    Plateaux, Regis
    Choley, Jean-Yves
    Karra, Chafik
    Riviere, Alain
    Haddar, Mohamed
    COMPTES RENDUS MECANIQUE, 2014, 342 (08): : 466 - 477