Representation of random optical wave phase in the basis of eigenfunctions of phase correlation function

Yusup N. Isaev, Elena V. Zakharova

Research output: Contribution to journalArticle

Abstract

Authors investigate in numerical experiment the representation of the optical wave phase through the Karhunen-Loeve-Obukhov (KLO) functions obtained using 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.

Original languageEnglish
Pages (from-to)172-176
Number of pages5
JournalProceedings of SPIE - The International Society for Optical Engineering
Volume4678
DOIs
Publication statusPublished - 2002
Externally publishedYes

Fingerprint

Phase Correlation
Eigenvalues and eigenfunctions
Eigenfunctions
Correlation Function
eigenvectors
Basis Functions
expansion
Structure-function
Relative Error
series expansion
Series Expansion
Numerical Experiment
Experimental Data
Experiments

Keywords

  • 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

Cite this

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abstract = "Authors investigate in numerical experiment the representation of the optical wave phase through the Karhunen-Loeve-Obukhov (KLO) functions obtained using 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.",
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AB - Authors investigate in numerical experiment the representation of the optical wave phase through the Karhunen-Loeve-Obukhov (KLO) functions obtained using 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.

KW - Adaptive optics

KW - Atmospheric turbulence

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KW - Optimal basis

KW - Wavefront expansion

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