An unconditionally stable thermal TLM algorithm for dosimetric applications

To estimate the temperature rise in biological tissues due to the interaction with the electromagnetic waves, the thermal aspect must be taken into account by solving the equation of Pennes. In this paper, we present a new numerical scheme based on the TLM method particularly suitable for dosimetry of highly heterogeneous environments. The model was proven to be unconditionally stable which allows using a larger time step than the one involved with FDTD or other TLM models. A dispersion analysis for evaluating the numerical errors is also provided. Finally, a numerical experiment of a human head exposed to RF with FDTD comparison is reported.