Iteration based temporal subcycling finite-difference time-domain algorithm with applications to the through-the-wall radar detection analysis
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Abstract
The finite-difference time-domain (FDTD) method is a widely used numerical technique for solving the time domain Maxwell's equations of electrodynamics. To accurately model small structures in relatively large computational domain, the subgridding technique is applied to save computational cost. In this dissertation, we first investigate the stability of the subgridding FDTD method and show the late-time instability due to temporal subcycling. To overcome the late-time instability problem, we propose a novel stable iteration based temporal subcycling FDTD algorithm for solving the Maxwell's equations in time domain. The stability of our method is analyzed using eigenvalue test and verified by performing long time simulation of millions of steps. Through-the-wall radar imaging (TWRI) is emerging as a viable technology for providing high quality image of enclosed structures. In our research, we apply the proposed temporal subcycling FDTD algorithm to simulate the through-the-wall radar (TWR) and employ a radar imaging method to reconstruct the object.