Polarization singularities in isotropic random vector waves
Berry, M.V. and Dennis, M.R. (2001) Polarization singularities in isotropic random vector waves. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 457, (2005), 141-155. (doi:10.1098/rspa.2000.0660).
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Description/Abstract
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.
| Item Type: | Article |
|---|---|
| ISSNs: | 1364-5021 (print) |
| Related URLs: | |
| Keywords: | singularities, polarization, optics, Gaussian waves, randomness |
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics |
| Item ID: | 29375 |
| Date Deposited: | 11 May 2006 |
| Last Modified: | 28 Jun 2012 10:13 |
| Contributors: | Berry, M.V. (Author) Dennis, M.R. (Author) |
| Date: | 2001 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/29375 |
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