Technical Physics Letters

, Volume 25, Issue 11, pp 891–893 | Cite as

Topological phase in a nonparaxial Gaussian beam

  • A. V. Volyar
  • T. A. Fadeeva
  • V. G. Shvedov
Article

Abstract

An analysis is made of the structure and evolution of the singularities of a nonparaxial Gaussian beam. It is shown that a Gaussian beam may be represented by a family of straight lines lying on the surface of a hyperboloid and that the wavefront of this beam is a function of a point source situated at a point on the z axis with the imaginary coordinate iz0. The argument of this complex function is the topological phase of the beam which characterizes the rotation of the wavefront. The singularities of a nonparaxial Gaussian beam are located in the focal plane and are annular edge dislocations. Dislocation processes near the constriction of the Gaussian beam only occur as a result of aperture diffraction.

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Copyright information

© American Institute of Physics 1999

Authors and Affiliations

  • A. V. Volyar
    • 1
  • T. A. Fadeeva
    • 1
  • V. G. Shvedov
    • 1
  1. 1.Simferopol State UniversitySimferopol

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