Some theoretical aspects of the turbulent point-spread function.

In a previous work [J. Opt. Soc. Am. A24, 753 (2007)], we developed a theory describing the space-time statistics of the scintillation and displacement fields of the turbulent point-spread function (PSF), which we validated using imaging data. We now expand on that work by deriving the theoretical expression for the spread fields of the PSF. We also show how the displacement and spread fields are derivable from a set of potentials, and we discuss some of the properties of those potentials.

Some space-time statistics of the turbulent point-spread function.

We consider the point-spread function (PSF) of an imaging system looking through weak optical turbulence along a horizontal path through the atmospheric surface layer. From this PSF we derive a scalar total irradiance field and a center-of-mass vector field. Theoretical values are found for the space-time autocorrelation and cross-correlation functions for these fields, which are then compared with the observed correlation functions obtained from data taken at the Validation Measurements on Propagation in the Infrared and Radar (VAMPIRA) measurement trial. We discuss the meaning of these results and possible directions for future work.