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Changes in the focal length of focusing lens in the optical system of laser beam changes not only the laser spot diameter but also the laser beam power intensity distribution. In mathematical and numerical models of laser beam heat source power distribution only specific laser beam spot diameter is adopted, omitting the beam caustics. Generally, the distance from beam focusing position as a technological parameter influencing laser beam intensity distribution is usually neglected. This paper concerns mathematical modelling of caustics of solid state laser YAG type with the disk active medium. The heat source model is developed on the basis of interpolation algorithms using geostatistical kriging method. The real laser beam power distribution and caustics are taken into account in the model. Measurements of laser beam power distribution and diameter of the laser beam spot for different focusing are performed using UFF100 analyzer. Yb:YAG laser emitted by Trumpf laser head D70 is used in the experiment. Presented results include the comparison of experimentally determined laser power intensity distribution and caustic with results obtained by developed interpolation model.