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Recently interest to research of any sort of the surface structures in solid state created by means of laser radiation and laser beams interference pattern has essentially increased. Perspective direction becomes also laser ablation, which can be in addition used for formation of nano-sized particles of a solid electrolyte. Pulse laser ablation of solid targets in the gas phase has been widely used for the preparation of various nanostructured materials such as nanoparticles, nanotubes and nanocomposites. The study of laser induced heating and melting are of great importance for achieving high quality materials processing with lasers. In this paper, the spatial and temporal temperature distribution in a surface of solid state heated by laser interference pattern is calculated by integrated transformation on coordinates x, y and Fourier transformations on coordinate z. Consideration was spent for two types of laser beams interference patterns: the two-dimensional periodic structure consisting of circles of radius, equal to radius of the laser beam; the one-dimensional periodic structure consisting of alternating strips of maxima and minima of intensity. Distribution of speed of temperature change at the surface of a solid state on the average section of two-dimensional periodic structure during the various moments of time is at action of a step laser impulse is found. For an instant laser impulse distribution of temperature on a surface of a solid state on the average and diagonal sections of two-dimensional periodic structure for different radiuses of a beam is found. For one-dimensional periodic structure for various width of a laser beam and for the various moments of time distribution of dimensionless temperature is found. It is shown, that the maximal heating up is observed in the center of a circle and falls down in process of removal from the center. The area where the intensive heating up of a surface is observed, makes up to 0.8 r/a (a is the period of gratings, r is a radius of laser beams). The similar result is received and for one-dimensional periodic structure: the maximal warming up is observed in a strip, width from-0.8 r/a up to 0.8 r/a.
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