Abstract

A simple derivation is given for the expression of one-dimensional spectra of turbulence-induced Zernike aberration terms in the case of a stellar source at infinity. Numerical results are presented for several terms. Expressions are given for the maximum acceptable delay and the maximum isoplanatic angle in a partially compensating adaptive optics system. Temporal-frequency spectra of the Zernike terms, recorded at the Canada–France–Hawaii telescope, are well reproduced when one convolves all the corresponding theoretical spectra with the same turbulence distribution. Only a few atmospheric layers are found to contribute to image degradation.

© 1993 Optical Society of America

Temporal properties of the Zernike expansion coefficients of turbulence-induced phase aberrations for aperture and source motion

Matthew R. Whiteley, Michael C. Roggemann, and Byron M. Welsh
J. Opt. Soc. Am. A 15(4) 993-1005 (1998)

Wave-front temporal spectra in high-resolution imaging through turbulence

Jean-Marc Conan, Gérard Rousset, and Pierre-Yves Madec
J. Opt. Soc. Am. A 12(7) 1559-1570 (1995)

Estimation of the adaptive optics long-exposure point-spread function using control loop data

Jean-Pierre Véran, François Rigaut, Henri Maı̂tre, and Daniel Rouan
J. Opt. Soc. Am. A 14(11) 3057-3069 (1997)

Wave-front reconstruction from defocused images and the testing of ground-based optical telescopes

Claude Roddier and François Roddier
J. Opt. Soc. Am. A 10(11) 2277-2287 (1993)

Modal compensation of atmospheric turbulence induced wave front aberrations

Joseph Winocur
Appl. Opt. 21(3) 433-438 (1982)