An FDTD Formulation for Wave Propagation in Biological Dispersive Media

A Finite Difference Time Domain (FDTD) scheme used to model the wave propagation in biological dispersive media has been proposed in this paper. FDTD scheme based on the direct solution of time domain Maxwell’s equations has developed and these solutions were approximated by time based linear functions. We are applied FDTD scheme for different dispersive media models such as Cole-Cole, Cole-Davidson, Havriliak–Negami dispersive models of the biological tissues. This proposed scheme is demonstrated by simulating Gaussian pulse propagation in the dispersive medium slabs with air interface at edges. In this proposed formulation, magnetic field components are coupled by the electric field components of Maxwell’s equation further development obtained by means of boundary conditions across the interfaces are applied by means of time dependent jump conditions. By calculating reflection coefficient for muscles, bone at air interfaces we obtain promising results and these results plays a key role in microwave medical imaging.