Karhunen-Loeve Functions in Simulations of Atmospheric Distortions

Details Karhunen-Loeve Functions in Simulations of Atmospheric Distortions Karhunen-Loeve Functions in Simulations of Atmospheric Distortions

Oct 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997rmxaa..33..187o&link_type=abstract

Revista Mexicana de Astronomia y Astrofisica, 33, p. 187-195 (1997)

Astronomy and Astrophysics

Astronomy

1

Scientific paper

The problem of simulations of the atmospherically distorted wavefronts, making use of Karhunen-Loeve functions for the study of high resolution techniques in astronomy is considered. An analytic solution for the kernel of the Karhunen-Loeve integral equation is found for the case of Kolmogorov turbulence with a finite outer-scale length. Two outer-scale models are considered: the exponential model and the von Karman model. A generator allowing the simulation of two-dimensional isotropic random processes with a given structure function is described. It is shown that both considered models give nearly the same results.

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