Inverse Problem for Electromagnetic Propagation in Human Muscle Tissues: Frequency Dependent Approach

This paper is concerned with an electromagnetic interrogation method for human muscle tissues using stochastic inversion methodology. The frequency dependence of relative permittivity of human muscle tissues is modeled by Debye formula with multiple dielectric relaxations. The associated signal response model is given by a complex reflectance at the interface between free space and the human body. The problem considered here is to identify posteriori distribution of the dielectric parameters from the measurements by a reflective interferometer. A computational experiments using Hamiltonian Monte Carlo sampling are summarized.