All-adaptive imaging of phase objects in focusing of spatially phase-modulated laser beams in an extended weakly
absorbing liquid or a gas medium is realized. The required level of the system operation corresponds to the initial stage
of thermal self-action of the illuminating laser beam. Imaging occurring in an extended weakly absorbing medium in a
definite power range is a new effect in propagation of spatially phase-modulated laser beams. Imaging of objects in such
schemes takes place in focusing of a spatially phase-modulated beam of an appropriate power directly on a real weakly
absorbing atmosphere or an aqueous medium. Due to adaptivity of this nonlinear process in contrast to linear systems,
imaging occurs under the conditions of heat flows, which leads to wandering of the laser beam waist as a whole in the
Fourier plane.
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