Frequency Dispersion Effects on FDTD Model for Breast Tumor Imaging Application

This paper addresses the versatility of the frequency domain finite difference time domain (FD)²TD method in dealing with dispersive biological media. (FD)²TD is an extended version of the conventional FDTD that can handle dispersive materials more accurately. The conventional FDTD has been previously used for the modeling of biological tissues at a single frequency using constant material parameters. The frequency dependence of biological materials can be efficiently described in the time domain using standard Debye or Lorentz models. These models can be expressed in different orders. The higher order models can represent any arbitrary dispersive medium at the expense of computational cost and complexity. In order to maintain the simplicity of the method and to reduce computational cost, the first order Debye model is employed