Polarization singularities in isotropic random vector waves

被引:265
作者
Berry, MV [1 ]
Dennis, MR [1 ]
机构
[1] Univ Bristol, HH Wills Phys Lab, Bristol BS8 1TL, Avon, England
来源
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2001年 / 457卷 / 2005期
关键词
singularities; polarization; optics; Gaussian; waves; randomness;
D O I
10.1098/rspa.2000.0660
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Following Nye & Hajnal, we explore the geometry of complex vector waves by regarding them as a field of polarization ellipses. Singularities of this field are the C lines and L lines, where the polarization is purely circular and purely linear, respectively. The singularities can be reinterpreted as loci of photon spin 1 (C lines) and 0 (L lines). For Gaussian random superpositions of plane waves equidistributed in direction but with an arbitrary frequency spectrum, we calculate the density (length per unit volume) of C and L lines.
引用
收藏
页码:141 / 155
页数:15
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