Reconstruction of Objects Viewed through Turbulence Using the Triple Correlation

Abstract

Since the invention in 1970 by Labeyrie1 of the technique of stellar speckle interferometry, there have been many attempts to extend it to produce diffraction-limited images through turbulence. In speckle interferometry, short exposure (≈10ms) images i(x) are recorded through a narrowband filter (≈10nm) and an estimate is made of the average energy spectrum <|I(u)|2> of the image, where I(u) is the Fourier transform of i(x).