**Abstract. **This paper is devoted to theoretical
research of impact of an electromagnetic radiation on the heterogeneous mediums
such as "conductive particles in a dielectric", namely thermal
effects of influence are studied. Two idealized models are considered: the
first one represents two half-spaces "metal-dielectric", and the
second one is conductive sphere in a dielectric. It is considered that the
Ohm's law in a differential form is valid, and function of sources of heat can
be found from the Joule-Lenz law. For both models the problem about passing of
an incident plane harmonic electromagnetic wave into the metal is solved. For model
of two half-spaces the solution is found in the form of the reflected, passed
and falling waves, for the "sphere in a dielectric" model the
solution is found by means of Borgnis's functions. For the first model by means
of Laplace transformations the problem about distribution of heat is solved:
the formula describing a temperature portrait in system and also the asymptotic
formula describing temperature on a boundary of the metal-dielectric mediums at
rather long periods of time are removed. For the second model a function of
sources of heat is found.

**Keywords:** conductive particles,
heterogeneous medium, the effect of selective impact, the thermal effect.

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