Electromagnetic energy deposition in living tissues by an overconstrained moment method

Some mathematical developments are presented, and results of numerical experiments are reported to compare a “traditional” version of the moment method with an overconstrained one. The latter aims to achieve higher accuracy in modelling both electromagneticenergydeposition and field distribution in biological bodies. A larger number of testing than basis functions is used to constrain the solution more effectively near corners and edges. A pseudoinversion transformation is performed to solve, in a least-squares sense, the resulting overdetermined system of equations. Comparisons with results reported in the literature are made, showing an enhancement of the method of moment (MoM) capabilities in specific absorption rate calculations, without a corresponding increase in computational load. The overconstrained MoM needs limited computer resources, and can be quite effective if the knowledge of the mean value of the scattered field is sufficient, or when local electromagnetic field values are required only for some regions of a body.