Technical Physics Letters

, Volume 25, Issue 11, pp 891–893

Topological phase in a nonparaxial Gaussian beam


  • A. V. Volyar
    • Simferopol State University
  • T. A. Fadeeva
    • Simferopol State University
  • V. G. Shvedov
    • Simferopol State University

DOI: 10.1134/1.1262673

Cite this article as:
Volyar, A.V., Fadeeva, T.A. & Shvedov, V.G. Tech. Phys. Lett. (1999) 25: 891. doi:10.1134/1.1262673


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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© American Institute of Physics 1999