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Perfectly Matched Layer (PML) for Computational Electromagnetics (Paperback)
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Perfectly Matched Layer (PML) for Computational Electromagnetics (Paperback)
Series: Synthesis Lectures on Computational Electromagnetics
Expected to ship within 10 - 15 working days
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This lecture presents the perfectly matched layer (PML) absorbing
boundary condition (ABC) used to simulate free space when solving
the Maxwell equations with such finite methods as the finite
difference time domain (FDTD) method or the finite element method.
The frequency domain and the time domain equations are derived for
the different forms of PML media, namely the split PML, the CPML,
the NPML, and the uniaxial PML, in the cases of PMLs matched to
isotropic, anisotropic, and dispersive media. The implementation of
the PML ABC in the FDTD method is presented in detail. Propagation
and reflection of waves in the discretized FDTD space are derived
and discussed, with a special emphasis on the problem of evanescent
waves. The optimization of the PML ABC is addressed in two typical
applications of the FDTD method: first, wave-structure interaction
problems, and secondly, waveguide problems. Finally, a review of
the literature on the application of the PML ABC to other numerical
techniques of electromagnetics and to other partial differential
equations of physics is provided. In addition, a software package
for computing the actual reflection from a FDTD-PML is provided. It
is available here.
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