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Optimal absorbing boundary conditions
Journal of the Optical Society of America A, 1995We examine three simply implemented boundary conditions for finite-difference electric field propagation. We find that although so-called transparent boundary conditions are appropriate for highly collimated beams, properly tailored absorbers are generally better adapted to realistic field distributions. Our analysis incorporates a simple procedure for
David Yevick, Yosef Yayon, Jun Yu
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An Overview of the Absorbing Boundary Conditions
Journal of Electromagnetic Waves and Applications, 1991In this paper we present an overview of the two and three dimensional absorbing boundary conditions (ABCs) that can be imposed at an artificial boundary in solving open region electromagnetic scattering problems, using finite difference or finite element techniques.
F.R. Cooray, G.I. Costache
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Hybrid absorbing boundary conditions of PML and CRBC
Journal of Computational and Applied Mathematics, 2022A hybrid absorbing boundary condition (HABC) is developed for time-harmonic wave scattering problems by combining the perfectly matched layers (PML) and complete radiation boundary conditions (CRBC). A model problem governed by the Helmholtz equation is considered, in which solutions propagate in one direction, describing wave phenomena arising in ...
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Absorbing boundary conditions for arbitrary outer boundary
Digest on Antennas and Propagation Society International Symposium, 2003The authors propose an absorbing boundary condition that can be applied to an outer boundary of arbitrary shape, even one that is conformal to the geometry of the scatterer. In order to investigate the application of the new boundary condition, several strip and wedge type geometries were considered, both for TE and TM incidence. >
A. Khebir, R. Mittra
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Absorbing Boundary Conditions on Circular and Elliptical Boundaries
Journal of Electromagnetic Waves and Applications, 1990Finite difference methods are becoming increasingly popular in the computational electromagnetics community. A major issue in applying these methods to electromagnetic wave scattering is to limit the computational domain to a finite size, which is accomplished by selecting an outer boundary and imposing absorbing boundary conditions to simulate free ...
C.F. Lee +3 more
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Huygens absorbing boundary condition
2014 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium), 2014The Finite Difference Time Domain (FDTD) method is popular for solving Maxwell's equations in time domain. The FDTD domains are usually open regions. For practical applications, since no computer can store infinite data, the FDTD method had to introduce Absorbing Boundary Conditions (ABCs).
Fumie Costen +4 more
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Absorbing Boundary Conditions for Hyperbolic Systems
Numerical Mathematics: Theory, Methods and Applications, 2010This paper deals with absorbing boundary conditions for hyperbolic systems in one and two space dimensions. We prove the strict well-posedness of the resulting initial boundary value problem in 1D. Afterwards we establish the GKS-stability of the corresponding Lax-Wendroff-type finite difference scheme.
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Phonon absorbing boundary conditions for molecular dynamics
Journal of Computational Physics, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Murthy N. Guddati +1 more
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On the Huygens absorbing boundary conditions for electromagnetics
Journal of Computational Physics, 2007For numerical treatment of Maxwell equations, the computational domain has to be truncated by electric or magnetic walls or by absorbing boundary conditions (ABC), simulating the open space. A widely used and powerful formulation of ABCs is the perfectly matched layer (PML), is introduced in [\textit{J.-P. Bérenger}, ``A perfectly matched layer for the
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Absorbing boundary conditions for nonlinear Schrödinger equations
Physical Review E, 2006A local time-splitting method (LTSM) is developed to design absorbing boundary conditions for numerical solutions of time-dependent nonlinear Schrödinger equations associated with open boundaries. These boundary conditions are significant for numerical simulations of propagations of nonlinear waves in physical applications, such as nonlinear fiber ...
Zhenli, Xu, Houde, Han
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