Image recovery by backward iteration of the non-standard finite difference time domain algorithm

Abstract

The time-reversed finite difference time domain (FDTD) algorithm is a useful tool for image recovery. By using a negative time step, a scattered wave field can propagated backwards to extract information about the size and shape of a scatterer, but errors, in both the FDTD algorithm and noise in scattered field data, reduce the quality of the recovered image. Using a new high accuracy FDTD algorithm derived from a nonstandard (NS) finite difference model, we can greatly reduce FDTD error. Using NS-FDTD we have investigated image recovery as a function of noise in numerical experiments.