Bandwidth Control of Optimized FDTD Schemes
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Bandwidth Control of Optimized FDTD SchemesAbstract
We investigate the potential of controlling the wideband behavior of finite-difference time-domain (FDTD) methods, which adopt extended spatial operators while maintaining the standard temporal updating procedure. Specifically, single-frequency optimization is performed first, while wider bands are then treated with the aid of the least-squares technique. The proposed methodology is applied to various discretization schemes with different stencil sizes and shapes, thus verifying its versatile character. Theoretical as well as numerical results are presented, which demonstrate that the optimization process has a beneficial impact on the efficiency of FDTD algorithms, and yields attractive alternatives for reliable multi-frequency simulations.
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