UID:
almahu_9949950129302882
Umfang:
XI, 135 p. 46 illus., 2 illus. in color.
,
online resource.
Ausgabe:
2nd ed. 2025.
ISBN:
9783031744501
Serie:
Synthesis Lectures on Computational Electromagnetics,
Inhalt:
This book presents the perfectly matched layer (PML) absorbing boundary condition (ABC) used to simulate the surrounding 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 described with details. Propagation and reflection of waves in the discretized FDTD space are derived and discussed, with a special emphasize on the problem of evanescent waves. The optimization of the PML ABC is described for two typical applications of the FDTD method, firstly wave-structure interaction problems, secondly waveguide problems. 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. Finally, the design of PMLs suited to actual applications is revisited in the context of computers of the 2020's that are, by far, more powerful than the computers of the 1990's when the PML ABC was introduced. A simple and general-purpose method is described to design the PML in this current context.
Anmerkung:
Introduction -- The requirements for the simulation of free space and a review of existing absorbing boundary conditions -- The two dimensional perfectly matched layer -- Generalizations and interpretations of the perfectly matched layer -- Time domain equations for the PML medium -- The PML ABC for the FDTD method -- Optimization of the PML ABC in wave-structure interaction and waveguide problems -- Some extensions of the PML ABC -- Using the PML in the Context of Modern Computers.
In:
Springer Nature eBook
Weitere Ausg.:
Printed edition: ISBN 9783031744495
Weitere Ausg.:
Printed edition: ISBN 9783031744518
Weitere Ausg.:
Printed edition: ISBN 9783031744525
Sprache:
Englisch
DOI:
10.1007/978-3-031-74450-1
URL:
https://doi.org/10.1007/978-3-031-74450-1
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