Hidden singularities in 3D vector fields

被引：5

作者：

Pang, Xiaoyan ^{[1
]}

Feng, Chen ^{[1
]}

Nyamdorj, Bujinlkham ^{[1
]}

Zhao, Xinying ^{[2
]}

机构：

[1] Northwestern Polytech Univ, Sch Elect & Informat, Xian, Peoples R China

[2] Shaanxi Normal Univ, Sch Phys & Informat Technol, Xian, Peoples R China

来源：

JOURNAL OF OPTICS | 2020年 / 22卷 / 11期

基金：

中国国家自然科学基金;

关键词：

spin density; optical singularity; 3D optical field; polarization; photonic wheel; POLARIZATION SINGULARITIES; TRANSVERSE SPIN; ANGULAR-MOMENTUM; OPTICAL VORTICES; MOBIUS STRIPS; C-POINTS; PHASE; DIFFRACTION;

D O I：

10.1088/2040-8986/abb9c4

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

In this article we show that in a three dimensional (3D) optical vector field there exist two types of hidden singularities, one is spin density (SD) phase singularity and the other is SD vector singularity, which are both unique to 3D fields. The nature of these SD singularities is discussed and their connection with traditional optical singularities is also examined. Especially it is shown that in a 3D field with purely transverse SD ('photonic wheels'), these two types of singularities exhibit very interesting behaviors: they are exactly mapped to each other regardless of their different physical meanings and different topological structures. Our work supplies a fundamental theory for the SD singularities and will provide a new way for further exploration of 3D vector fields.

引用

页数：10

共 50 条

[31] View-Dependent Streamlines for 3D Vector Fields
Marchesin, Stephane
Chen, Cheng-Kai
Ho, Chris
Ma, Kwan-Liu
IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS, 2010, 16 (06) : 1578 - 1586
[32] Vector computer used for calculation of 3D magnetostatic fields
Zhidkov, EP
Yuldasheva, MB
Yudin, IP
Yuldashev, OI
PROCEEDINGS OF THE 1995 PARTICLE ACCELERATOR CONFERENCE, VOLS 1-5, 1996, : 2314 - 2316
[33] Fault displacement modelling using 3D vector fields
Georgsen, Frode
Roe, Per
Syversveen, Anne Randi
Lia, Oddvar
COMPUTATIONAL GEOSCIENCES, 2012, 16 (02) : 247 - 259
[34] Accelerating the computation of 3D gradient vector flow fields
Vidholm, Erik
Sundqvist, Per
Nystrom, Ingela
18TH INTERNATIONAL CONFERENCE ON PATTERN RECOGNITION, VOL 3, PROCEEDINGS, 2006, : 677 - +
[35] Singularities of reversible vector fields
Teixeira, MA
PHYSICA D, 1997, 100 (1-2): : 101 - 118
[36] Tracking of vector field singularities in unstructured 3D time-dependent datasets
Garth, C
Tricoche, X
Scheuermann, G
IEEE VISUALIZATION 2004, PROCEEEDINGS, 2004, : 329 - 336
[37] Mixed Mode 3D Stress Fields and Crack Front Singularities for Surface Flaw
Shlyannikov, V. N.
Tumnov, A. V.
11TH INTERNATIONAL CONFERENCE ON THE MECHANICAL BEHAVIOR OF MATERIALS (ICM11), 2011, 10 : 1133 - 1138
[38] On Some Nonstandard Boundary Value Problems for 3D Vector Fields
Dubinskii, Yu. A.
DIFFERENTIAL EQUATIONS, 2019, 55 (04) : 515 - 522
[39] Asymptotic stability and bifurcations of 3D piecewise smooth vector fields
Tiago Carvalho
Marco Antônio Teixeira
Durval José Tonon
Zeitschrift für angewandte Mathematik und Physik, 2016, 67
[40] Topological construction and visualization of higher order 3D vector fields
Weinkauf, T
Theisel, H
Hege, HC
Seidel, HP
COMPUTER GRAPHICS FORUM, 2004, 23 (03) : 469 - 478

← 1 2 3 4 5 →