Orthogonal expansions of phase of random wave fields

Viktor A. Banakh, Yusup N. Isaev, Elena V. Zakharova

Research output: Contribution to journalArticlepeer-review


Authors analyze a representation of random wave phase in different bases: the orthogonal Karhunen-Loeve-Obukhov (KLO) functions, Zernike polynomials, discrete Walsh functions, and Haar wavelets. To calculate functions of the optimal KLO basis for the Kolmogorov atmospheric turbulence the effective approach developed by the authors is used. The statistical criteria of the optical system performance, as the phase error variance, Shtrehl radio, and others, are calculated in numerical experiment.

Original languageEnglish
Pages (from-to)146-150
Number of pages5
JournalProceedings of SPIE - The International Society for Optical Engineering
Publication statusPublished - 1998
Externally publishedYes


  • Fast transform
  • Optimal expansion
  • Phase
  • Random inhomogeneous medium

ASJC Scopus subject areas

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

Fingerprint Dive into the research topics of 'Orthogonal expansions of phase of random wave fields'. Together they form a unique fingerprint.

Cite this