Orthogonal expansions of phase of random wave fields

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

Research output: Contribution to journalArticle

Abstract

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
Volume3494
DOIs
Publication statusPublished - 1998
Externally publishedYes

Fingerprint

Orthogonal Expansion
Walsh function
discrete functions
Walsh Functions
Zernike Polynomials
Haar Wavelet
Phase Error
expansion
Atmospheric Turbulence
phase error
atmospheric turbulence
Optical System
System Performance
polynomials
Atmospheric turbulence
Numerical Experiment
Calculate
Optical systems
Polynomials
Experiments

Keywords

  • 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

Cite this

Orthogonal expansions of phase of random wave fields. / Banakh, Viktor A.; Isaev, Yusup N.; Zakharova, Elena V.

In: Proceedings of SPIE - The International Society for Optical Engineering, Vol. 3494, 1998, p. 146-150.

Research output: Contribution to journalArticle

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