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The simulation of the propagation of the electromagnetic waves uses powerful algorithms based on dynamic beam tracing asymptotic methods. A geometric computational engine sets all the contributions between the radioelectric transmitters and the observation points (a mesh of receiver points all over the study area). A physical computational engine sets the transfer functions associated to the geometrical contributions, taking into account the antenna models, the frequency bands parameters and the materials met during the propagation.

The geometrical computational engine takes into account the (specular) reflections on the vertical faces and on the ground, and the diffractions (according to the uniform theory of the diffraction) on the horizontal edges and possibly vertical edges (building bypassing). To process big data volumes in a simulation (at the scale of a town for example), the geometrical model is a 2.5D model (contours and elevations). The geometrical computational engine is mainly configured by the maximum distance of propagation and by the reflection and vertical diffraction orders. The geometrical contributions computed in 2.5D are transformed by the geometrical engine into a set of 3D contributions and are transferred to the physical engine.

The physical computational engine computes the propagation of a complex vectorial electric field, taking so into account the interferences of the various contributions from a single radioelectric transmitter, but allowing to produce for each receiver a scalar electric field, and this for each frequency band. The electromagnetic waves from an antenna can contain various polarizations. Reflections and diffractions take into account the met materials, with a flat wave hypothesis and a description in form of relative permittivity and electric conductivity.

The MithraREM technical handbook introduces the theoretical aspects of the software.