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A time‐domain method for calculating the band structure of one‐dimensional periodic structures is proposed. During the time‐stepping of the method, the column vector containing the spatially sampled field data is updated by multiplying with an iteration matrix. The iteration matrix is first obtained by using the matrix‐exponential decomposition technique. Then, the small nonzero elements of the matrix...
A matrix-exponential decomposition based time-domain method for band structure calculations of one-dimensional (1D) periodic structures is developed. The method is more stable than the conventional finite-difference time-domain method, and particularly efficient for large-scale structures containing a defect with a high wave speed. The numerical examples for 1D quasi-periodic phononic crystal structures...
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