Expansion of random wave phase in terms of eigenfunctions of phase correlation function

Yusup N. Isaev, Elena V. Zakharova

Research output: Contribution to journalArticlepeer-review


In numerical experiment the authors investigate a representation of the phase of random optical wave through the Karhunen-Loeve-Obukhov (KLO) functions obtained with the use of phase correlation function calculated from experimental data. For such KLO basis the averaged relative error of phase expansion is 5% for 10 basis functions in the expansion series, whereas for the KLO basis calculated with the Kolmogorov structure function of phase the error of phase expansion 5% has been obtained for 78 basis functions. When a propagation medium is close to Kolmogorov model it is possible to use this KLO basis obtained for a single section of distorted phase distribution for representation of whole phase distribution.

Original languageEnglish
Pages (from-to)168-173
Number of pages6
JournalProceedings of SPIE - The International Society for Optical Engineering
Publication statusPublished - 2002
Externally publishedYes


  • Adaptive optics
  • Atmospheric turbulence
  • Correlation function
  • Optimal basis
  • Wavefront expansion

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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