Stability analysis of the finite difference time domain method applied to unbounded electromagnetic problems

A Fourier method is introduced to analyze the stability of a FDTD scheme before its numerical solution is attempted. The FDTD numerical model considered is constructed by applying Yee's model to the interior points, Mur's second-order radiation boundary condition to the boundary points (except for the corner points), and the first-order radiation boundary conditions to the corner points. The analysis is applicable to any scheme.<
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