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

页码：141 / 155

页数：15

共 26 条

[1] The orbital angular momentum of light
Allen, L
Padgett, MJ
Babiker, M
[J]. PROGRESS IN OPTICS, VOL XXXIX, 1999, 39 : 291 - 372
[2] Arnold V. I., 1986, Catastrophe Theory
[3] Paraxial beams of spinning light
Berry, M
[J]. INTERNATIONAL CONFERENCE ON SINGULAR OPTICS, 1998, 3487 : 6 - 11
[4] Making waves in physics - Three wave singularities from the miraculous 1830s.
Berry, M
[J]. NATURE, 2000, 403 (6765) : 21 - 21
[5] Berry M. V., 1980, PROGR OPTICS, V18, P257, DOI [DOI 10.1016/S0079-6638(08)70215-4, 10.1016/S0079-6638(08)70215-4]
[6] THE ADIABATIC PHASE AND PANCHARATNAM PHASE FOR POLARIZED-LIGHT
BERRY, MV
[J]. JOURNAL OF MODERN OPTICS, 1987, 34 (11) : 1401 - 1407
[7] Phase singularities in isotropic random waves
Berry, MV
Dennis, MR
[J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2000, 456 (2001): : 2059 - 2079
[8] QUANTAL PHASE-FACTORS ACCOMPANYING ADIABATIC CHANGES
BERRY, MV
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1984, 392 (1802) : 45 - 57
[9] BERRY MV, 2000, P ROY SOC LOND A MAT, V456, P3050
[10] Born M., 1959, PRINCIPLES OPTICS

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