MODEL OF THE INTERACTION OF ELECTROMAGNETIC
AND THERMAL FIELDS IN DELAY MEDIA

N. N. Grinchik,a V. T. Erofeenko,b
I. S. Kozlovskaya,b and Yu. V. Pulkob

UDC 517.958;517.87

We have solved the problem on the propagation of a high-frequency 
electromagnetic field in a half-space filled with a medium with delayed 
electric and magnetic polarizations and conduction currents under 
the action on the half-space of an arbitrary combination of plane 
fields, as well as of surface currents and charges distributed over 
the half-space surface. A model of the heating of the half-space medium 
as a result of the electromagnetic-to-thermal and vice versa energy 
conversion has been considered. A numerical study of the heating depending 
on the delay time has been made.

Keywords: Maxwell equations, plane electromagnetic waves, delay medium, 
boundary-value problem, heat conduction equation, 
energy dissipation. 

aA. V. Luikov Heat and Mass Transfer Institute, National 
Academy of Sciences of Belarus, 15 P. Brovka Str., Minsk, 220072, Belarus; 
email: nngrin@yandex.ru; bBelarusian State University, 
4 Nezavisimost' Ave., Minsk, 220030, Belarus; email: pulko@tut.by. 
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 82, No. 1, pp. 177-183, 
January-February, 2009. Original article submitted November 11, 2007.