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Abstract The problem of propagation of GCL (10,6 urn) laser pulse in an absorbing and scattering medium is studied. We have taken the medium to be composed of a uniform distribution of fog DROPlets of equal radii. The problem of evaporation of fog DROPlets by absorbing infrared radiation, has also been treated. A general, self cons¬istent equation, governing the variation of laser beam intensity as a function of both distance and time, has been derived. The derived equation has been solved numerically in the case of a continuous beam, subject to constant initial conditions, by the method of finite difference. Eesults have indicated that the beam can propagate in the medium causing evaporation of fog DROPlets,, In addition to the laser beam propagation, there exists also an evaporation wavefront which propagates in the medium at a reduced velocity. The velocity characteris¬tics of the evaporation wavefront have also ”been investigated. In order to obtain the effects of the medium on the poised laser beam, we have solved the self consistent •quation with time varying initial conditions using |