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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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.
|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
|Date Deposited:||11 May 2006|
|Last Modified:||28 Jun 2012 10:13|
|Contributors:||Berry, M.V. (Author)
Dennis, M.R. (Author)
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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