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The nonstandard finite difference time domain (FDTD) algorithm gives high accuracy solutions on a coarse grid to the homogeneous wave equation and the source-free Maxwell's equations. We now extend the NSFD methodology to include sources both for the scattered field and for free space sources. We demonstrate the high accuracy of this approach by comparing with analytical solutions.
The finite difference time domain (FDTD) method is easy to implement and can compute scattering and propagation in arbitrary structures, but it has two major drawbacks: (i) accuracy is low unless a fine grid is used — which greatly increases the computational cost, and (ii) when the structure has features that are much smaller than a wavelength, many grid points are needed just to represent the structure...
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