Mixed Unsplit-Field Perfectly Matched Layers for Plane-Electromagnetic-Wave Simulation in the Time Domain

• Published in: Computer modeling in engineering & sciences Vol. 106; no. 2; pp. 77 - 104
• Main Authors: Sang-Ri Yi, Kim, Boyoung, Kang, Jun Won
• Format: Journal Article
• Language: English
• Published: Henderson Tech Science Press 2015
• Subjects: Computer simulation; Concrete structures; Convolution; Convolution integrals; Coordinate transformations; Electromagnetic radiation; Electromagnetic waves; Error analysis; Finite difference method; Finite element method; Fourier transforms; Mathematical analysis; Mathematical models; Maxwell's equations; Microwaves; Numerical methods; Perfectly matched layers; Planes; Time domain; Time domain analysis
• ISSN: 1526-1492; 1526-1506
• DOI: 10.3970/cmes.2015.106.077

This study is concerned with the development of new mixed unsplitfield perfectly matched layers (PMLs) for the simulation of plane electromagnetic waves in heterogeneous unbounded domains. To formulate the unsplit-field PML, a complex coordinate transformation is introduced to Maxwell's equations in the frequency domain. The transformed equations are converted back to the time domain via the inverse Fourier transform, to arrive at governing equations for transient electromagnetic waves within the PML-truncated computational domain. A mixed finite element method is used to solve the PML-endowed Maxwell equations. The developed PML method is relatively simple and straightforward when compared to split-field PML techniques. It also allows the use of relatively simple temporal schemes for integration of the semi-discrete form, in contrast to the PML methods that require the calculation of complicated convolution integrals or the use of finite difference methods. Numerical results are presented for plane microwaves propagating through concrete structures, and the accuracy of these solutions is investigated via a series of error analyses.