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Chapter 7:
FDTD Algorithms to Solve the Wave Equation in Two and Three Dimensions
We now proceed to extend the 1D FDTD methodologies developed in Chapters 5 and 6 to two and three dimensions. With a few modifications and complications, the process is straightforward. Topics: • Standard and nonstandard FDTD and their errors • The computational boundary and the nonstandard Mur algorithm • Green’s function solutions and the discrete Green’s function methodology • The fuzzy grid representation • The scattered field and its nonstandard FDTD model • Validation by Mie scattering • Detailed stability analyses
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