Perfectly matched layer (PML) for computational electromagnetics

• Main Author: Bérenger, Jean-Pierre.
• Format: Electronic
• Language: English
• Published: San Rafael, Calif. (1537 Fourth Street, San Rafael, CA 94901 USA) : Morgan & Claypool Publishers, c2007.
• Edition: 1st ed.
• Series: Synthesis lectures on computational electromagnetics (Online), #8.
• Subjects: Finite differences.; Maxwell equations > Numerical solutions.; Time-domain analysis.
• Online Access: Abstract with links to full text
• Item Description: Part of: Synthesis digital library of engineering and computer science.; Title from PDF t.p. (viewed Oct. 19, 2008).; Series from website.
• Physical Description: 1 electronic text (vii, 117 p. : ill.) : digital file.; Also available in print.
• Format: Mode of access: World Wide Web.; System requirements: Adobe Acrobat Reader.
• Bibliography: Includes bibliographical references (p. 111-116).
• ISBN: 1598290835 (electronic bk.); 9781598290837 (electronic bk.); 1598290827 (pbk.); 9781598290820 (pbk.)
• ISSN: 1932-1716
• Access: Abstract freely available; full-text restricted to subscribers or individual document purchasers.

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.