We conduct computer simulations of the reconstruction of a wave front at a telescope pupil with the phase-diversity method. An instantaneous wave front is reconstructed from focused and defocused specklegrams of a point star. In the wave-front reconstruction we do not fit the wave front to Zernike polynomials but retrieve the phase with a phase-unwrapping procedure. Averaging over many atmospherically perturbed wave fronts leads to the residual phase error, namely, the aberration of the telescope. The scintillation effect, nonuniformity of amplitude on a telescope pupil, is also discussed.
© 2001 Optical Society of America
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(030.6610) Coherence and statistical optics : Stellar speckle interferometry
(100.5070) Image processing : Phase retrieval
(110.6770) Imaging systems : Telescopes
(350.1260) Other areas of optics : Astronomical optics
Naoshi Baba and Kohta Mutoh, "Measurement of Telescope Aberrations Through Atmospheric Turbulence by use of Phase Diversity," Appl. Opt. 40, 544-552 (2001)