F. Torres et B. Jecko, COMPLETE FDTD ANALYSIS OF MICROWAVE-HEATING PROCESSES IN FREQUENCY-DEPENDENT AND TEMPERATURE-DEPENDENT MEDIA, IEEE transactions on microwave theory and techniques, 45(1), 1997, pp. 108-117
It is well known that the temperature rise in a material modifies its
physical properties and, particularly, its dielectric permittivity, Th
e dissipated electromagnetic power involved in microwave heating proce
sses depending on epsilon(omega), the electrical characteristics of th
e heated media must vary with the temperature to achieve realistic sim
ulations, In this paper, we present a fast and accurate algorithm allo
wing, through a combined electromagnetic and thermal procedure, to tak
e into account the influence of the temperature on the electrical prop
erties of materials, First, the temperature dependence of the complex
permittivity ruled by a Debye relaxation equation is investigated, and
a realistic model is proposed and validated. Then, a frequency-depend
ent finite-differences time-domain ((FD)(TD)-T-2) method is used to as
sess the instantaneous electromagnetic power lost by dielectric hyster
esis. Within the same iteration, a time-scaled form of the heat transf
er equation allows one to calculate the temperature distribution in th
e heated medium and then to correct the dielectric properties of the m
aterial using the proposed model. These new characteristics will be ta
ken into account by the EM solver at the nest iteration, This combined
algorithm allows a significant reduction of computation time, An appl
ication to a microwave oven is proposed.