Topological properties of spatial coherence function

被引:6
作者
Ren Ji-Rong [1 ]
Zhu Tao [1 ]
Duan Yi-Shi [1 ]
机构
[1] Lanzhou Univ, Inst Theoret Phys, Lanzhou 730000, Peoples R China
关键词
D O I
10.1088/0256-307X/25/2/005
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The topological properties of the spatial coherence function are investigated rigorously. The phase singular structures (coherence vortices) of coherence function can be naturally deduced from the topological current, which is an abstract mathematical object studied previously. We find that coherence vortices are characterized by the Hopf index and Brouwer degree in topology. The coherence flux quantization and the linking of the closed coherence vortices are also studied from the topological properties of the spatial coherence function.
引用
收藏
页码:367 / 370
页数:4
相关论文
共 24 条
[1]   Knotted and linked phase singularities in monochromatic waves [J].
Berry, MV ;
Dennis, MR .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2001, 457 (2013) :2251-2263
[2]   Partially coherent vortex beams with a separable phase [J].
Bogatyryova, GV ;
Fel'de, CV ;
Polyanskii, PV ;
Ponomarenko, SA ;
Soskin, MS ;
Wolf, E .
OPTICS LETTERS, 2003, 28 (11) :878-880
[3]   Local phase structure of wave dislocation lines: twist and twirl [J].
Dennis, MR .
JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS, 2004, 6 (05) :S202-S208
[4]   Topological structure of the London equation [J].
Duan, YS ;
Zhang, H ;
Li, S .
PHYSICAL REVIEW B, 1998, 58 (01) :125-127
[5]   The bifurcation theory of the Gauss-Bonnet-Chern topological current and Morse function [J].
Duan, YS ;
Li, S ;
Yang, GH .
NUCLEAR PHYSICS B, 1998, 514 (03) :705-720
[6]   Many knots in Chern-Simons field theory [J].
Duan, YS ;
Liu, X ;
Fu, LB .
PHYSICAL REVIEW D, 2003, 67 (08)
[7]   Decomposition theory of the U(1) gauge potential and the London assumption in topological quantum mechanics [J].
Duan, YS ;
Liu, X ;
Zhang, PM .
JOURNAL OF PHYSICS-CONDENSED MATTER, 2002, 14 (34) :7941-7947
[8]   A mathematical framework for wave dislocation lines [J].
Duan, YS ;
Zhang, H ;
Jia, G .
PHYSICS LETTERS A, 1999, 253 (1-2) :57-65
[9]   Spatial correlation properties of focused partially coherent light [J].
Fischer, DG ;
Visser, TD .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2004, 21 (11) :2097-2102
[10]   Coherence vortices in partially coherent beams [J].
Gbur, G ;
Visser, TD .
OPTICS COMMUNICATIONS, 2003, 222 (1-6) :117-125