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Polarization singularities in isotropic random vector waves

By M.V. Berry and M.R. Dennis

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

Topics: QA, QC
Year: 2001
OAI identifier: oai:eprints.soton.ac.uk:29375
Provided by: e-Prints Soton

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  1. (1980). Catastrophe optics: morphologies of caustics and their di® raction patterns.
  2. (1986). Catastrophe theory.
  3. (1996). Chaotic analytic zero points: exact statistics for those of a random spin state.
  4. (1974). Dislocations in wave trains.
  5. (1989). Geometric phases in physics. World Scienti¯c.
  6. (1983). Lines of circular polarization in electromagnetic wave ¯elds.
  7. (2000). Making waves in physics: three wave singularities from the miraculous 1830s.
  8. (1997). Mechanical equivalent of spin and orbital angular momentum of light: an optical spanner.
  9. (1999). Natural focusing and ¯ne structure of light: caustics and wave dislocations.
  10. (1990). Observation of singularities in the electric and magnetic ¯elds of freely propagating microwaves.
  11. (1995). Optical coherence and quantum optics.
  12. (2000). Optical vortex trajectories.
  13. (1999). Optical vortices.
  14. (1998). Paraxial beams of spinning light.
  15. (1991). Phase gradient and crystal-like geometry in electromagnetic and elastic wave¯elds.
  16. (2000). Phase singularities in isotropic random waves.
  17. (1959). Principles of optics.
  18. (1984). Quantal phase factors accompanying adiabatic changes.
  19. (1987). Singularities in the transverse ¯elds of electromagnetic waves.
  20. (1987). Singularities in the transverse ¯elds of electromagnetic waves. II. Observations on the electric ¯eld.
  21. (1987). The adiabatic phase and Panacharatnam’s phase for polarized light.
  22. (1998). The Majorana representation of polarization, and the Berry phase of light.
  23. (1999). The orbital angular momentum of light.
  24. (1987). The wave structure of monochromatic electromagnetic radiation.

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