Carey M. Rappaport
Michael B. Silevitch, Jose Angel Martinez-Lorenzo
Date of Award
Master of Science
Department or Academic Unit
College of Engineering. Department of Electrical and Computer Engineering.
Loss mapped perfectly matched layer, Electrical engineering, Finite-difference time-domain, FDTD
Lattice theory, Electromagnetic fields--Mathematical models
This thesis presents a loss mapped perfectly matched layer (LMPML) absorbing boundary conditions (ABC) for the truncation of finite-difference time-domain (FDTD) lattices. FDTD is one of the most popular computational techniques in today's electromagnetic field. While the FDTD is a well established, fairly accurate and easy-to-implement method within the computational grid, the truncation of the FDTD lattices is one of the most challenging parts of its implementation. Many methods of absorbing boundary conditions were proposed in the past few decades. Most of the earlier ABC proposals had only limited success in the reduction of the truncation error with the reflection as big as 1% of incident wave coming back into the computational grid. The revolution in the area occurred with the introduction of perfectly matched layer (PML) ABC formulated by Berenger. This formulation assures theoretical zero reflection for all frequencies and angles of incidence. But the practical implementation of the PML ABC has some inaccuracy due to the numerical discretization error. After the original PML ABC proposal many new works were published with the emphasis on improvement of the numerical results, interpretation of PML ABC into different coordinate systems and new more memory efficient formulations of PML ABC. This thesis concentrates on the development in the area of absorbing boundary conditions, discusses most popular methods before and after introduction of PML ABC and presents a new formulation of PML ABC. The new LMPML ABC formulation demonstrates the same level of absorption as original Berenger's method but is more memory efficient than the original formulation, at least for three-dimensional case. The proposed LMPML equations resemble Maxwellian formulation and regular wave equation which is a significant advantage of this technique.
Trogan, Roman, "Loss mapped perfectly matched layer (LMPML) absorbing boundary conditions for truncation of FDTD lattices" (2007). Electrical and Computer Engineering Master's Theses. Paper 10. http://hdl.handle.net/2047/d10017963
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