Local phase structure of wave dislocation lines: twist and twirl

被引:56
作者
Dennis, MR [1 ]
机构
[1] Univ Bristol, HH Wills Phys Lab, Bristol BS8 1TL, Avon, England
来源
JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS | 2004年 / 6卷 / 05期
关键词
phase singularity; optical vortex; screw dislocation; topology;
D O I
10.1088/1464-4258/6/5/011
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Generic wave dislocations (phase singularities, optical vortices) in three dimensions have anisotropic local structure, which is analysed, with emphasis on the twist of surfaces of equal phase along the singular line, and the rotation of the local anisotropy ellipse (twirl). Various measures of twist and twirl are compared in specific examples, and a theorem is found relating the (quantized) topological twist and twirl for a closed dislocation loop with the anisotropy C line index threading the loop.
引用
收藏
页码:S202 / S208
页数:7
相关论文
共 29 条
[1]  
[Anonymous], 1953, Dislocations in Crystals
[2]  
[Anonymous], 1964, Handbook of mathematical functions
[3]   Geometry of phase and polarization singularities, illustrated by edge diffraction and the tides [J].
Berry, M .
SECOND INTERNATIONAL CONFERENCE ON SINGULAR OPTICS (OPTICAL VORTICES): FUNDAMENTALS AND APPLICATIONS, 2001, 4403 :1-12
[4]   Phase singularities in isotropic random waves [J].
Berry, MV ;
Dennis, MR .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2000, 456 (2001) :2059-2079
[5]   ELLIPTIC UMBILIC DIFFRACTION CATASTROPHE [J].
BERRY, MV ;
WRIGHT, FJ .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1979, 291 (1382) :453-+
[6]   UMBILIC POINTS ON GAUSSIAN RANDOM SURFACES [J].
BERRY, MV ;
HANNAY, JH .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1977, 10 (11) :1809-1821
[7]   Knotting and unknotting of phase singularities: Helmholtz waves, paraxial waves and waves in 2+1 spacetime [J].
Berry, MV ;
Dennis, MR .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (42) :8877-8888
[8]   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
[9]   Polarization singularities in isotropic random vector waves [J].
Berry, MV ;
Dennis, MR .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2001, 457 (2005) :141-155
[10]   Self-imaging beams and the Guoy effect [J].
Courtial, J .
OPTICS COMMUNICATIONS, 1998, 151 (1-3) :1-4