[OPTICAL REVIEW Vol. 18, No. 1 (2011) 149-152]
© 2011 The Japan Society of Applied Physics

Image Recovery by Backward Iteration of the Non-Standard Finite Difference Time Domain Algorithm

James B. COLE and Kisalaya CHAKRABARTI

Graduate School of Systems and Information Engineering, University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan

(Received June 9, 2010; Revised November 16, 2010; Accepted November 30, 2010)

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.

Key words: time-reversed FDTD, finite difference time domain, nonstandard finite difference, NS-FDTD, image recovery