Tying Knots in Light Fields

被引：145

作者：

Kedia, Hridesh ^{[1
,2
]}

Bialynicki-Birula, Iwo ^{[3
]}

Peralta-Salas, Daniel ^{[4
]}

Irvine, William T. M. ^{[1
,2
]}

机构：

[1] Univ Chicago, Dept Phys, Chicago, IL 60605 USA

[2] Univ Chicago, James Franck Inst, Chicago, IL 60605 USA

[3] Polish Acad Sci, Ctr Theoret Phys, PL-02668 Warsaw, Poland

[4] CSIC, Inst Ciencias Matemat, E-28049 Madrid, Spain

来源：

PHYSICAL REVIEW LETTERS | 2013年 / 111卷 / 15期

关键词：

MAXWELL EQUATIONS; VORTEX LINES; TURBULENCE; MECHANICS; LINKS;

D O I：

10.1103/PhysRevLett.111.150404

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct analytically, a new family of null solutions to Maxwell's equations in free space whose field lines encode all torus knots and links. The evolution of these null fields, analogous to a compressible flow along the Poynting vector that is shear free, preserves the topology of the knots and links. Our approach combines the construction of null fields with complex polynomials on S-3. We examine and illustrate the geometry and evolution of the solutions, making manifest the structure of nested knotted tori filled by the field lines.

引用

页数：5

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