Under certain conditions, light-wave propagation through turbulent med
ia causes a specific type of phase distortion: so-called phase disloca
tions. A salient feature of phase dislocations is an appearance of zon
es where the phase turns out to be a multivalued function of coordinat
es. The problem of turbulence-induced phase dislocations is considered
. Both a theoretical treatment and simulations based on the numerical
solution of a parabolic equation are used for estimation of the disloc
ation density. Various turbulence conditions, ranging from weak to ver
y strong ones, are considered as well as the dependences on wavelength
, and the inner scales of turbulence are presented. An empirical formu
la for the dislocation density suitable for a wide range of turbulent
and propagation conditions is derived. The results obtained can be use
ful for both atmospheric and adaptive optics. (C) 1998 Optical Society
of America.