Correlation Properties of Propagation-Invariant Fields

  • Zdenĕk Bouchal
  • Jan Peřina
  • Richard Horák
Conference paper

Abstract

In recent time, the spatially and temporally localized transfer of electromagnetic energy in linear and nonlinear media has been of increasing interest due to many possible applications. In linear media, both the exactly and nearly nondiffractive coherent fields were obtained as solutions to the Helmholtz and paraxial wave equations, respectively.1 The concept of propagation invariance in variable-coherence optics was also introduced2 and the electromagnetic model of the nondiffractive fields was proposed.3 Recently, our effort has been focused on the correlation effects of the diffraction-free fields. In particular, we derived the correlation matrix related to the wide class of non-stationary propagation-invariant fields and the general condition of the propagation invariance expressed by means of the angular spectrum of the correlation matrix. The propagation-invariant fields obtained on the basis of the scalar Bessel beams were examined as possible examples.

Keywords

Helmholtz Equation Nonlinear Medium Linear Superposition Angular Spectrum Propagation Invariance 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    J.E. Durnin, Exact solutions for nondiffracting beams. I. The scalar theory, J. Opt. Soc. Am. A 4: 651 (1987).CrossRefGoogle Scholar
  2. 2.
    J. Turunen, A. Vasara, and A.T. Friberg, Propagation invariance and self-imaging in variable-coherence optics, J. Opt. Soc. Am. A 8: 282 (1991).CrossRefGoogle Scholar
  3. 3.
    Z. Bouchal, and M. Olivík, Nondiffractive vector Bessel beams, J. Mod. Opt. (1995) (in print).Google Scholar

Copyright information

© Springer Science+Business Media New York 1996

Authors and Affiliations

  • Zdenĕk Bouchal
    • 1
  • Jan Peřina
    • 1
  • Richard Horák
    • 1
  1. 1.Department of OpticsPalacký UniversityOlomoucCzech Republic

Personalised recommendations