Scanning paraxial optical tomography

We present a solution to this problem in the form of a fast algorithm with computational complexity that scales as N log N , where N is the number of spatial measurements of the scattered field.     

Capillary and gravitational convection in a droplet immersed in a nonuniformly heated liquid

Under the conditions of the Plato technique, the problem of convection in a droplet immersed in a nonuniformly heated liquid is solved analytically. The influence of gravitational convection on the thermocapillary flow is studied. In the linear approximation with respect to the Marangoni and Grashof numbers and their product, the shape of the droplet and the displacement of its center of the mass are obtained.Perm. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 4, pp. 43–51, July–August, 1996.     

Characteristics of multiple-photon dissociation of OsO4 molecule by two frequency tunable CO2-laser pulses

Using two-frequency technique for the multiple photon dissociation of OsO₄ molecule by IR laser radiation, the following new results have been obtained: 1. the narrow resonances of multiple photon absorption on few low lying vibrational transitions have been found in the dissociation yield as a function of exciting frequency ν₁; 2. the structure of the dissociation yield as a function of dissociating frequency ν₂ connected with high lying vibrational transition has been studied; 3. the kinetic of the vibration relaxation of high vibrationally excited molecules was investigated; 4. the unimolecular character of the multiple photon dissociation of OsO₄ has been proved.