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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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Numerical dispersion and absorbing boundary conditions
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, 2000Summary: Predictions of performance of exact and approximate absorbing boundary conditions (ABCs) do not take into account the fact that in an actual simulation it is numerical waves that are incident on the computational domain boundary where they are imposed. Via a model problem in rectangular co-ordinates we identify and examine this issue. Then, we
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A sequence of absorbing boundary conditions for Maxwell’s equations
Journal of Computational Physics, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hall, William F., Kabakian, Adour V.
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Stability of absorbing boundary conditions
IEEE Transactions on Antennas and Propagation, 1999Summary: Higher-order absorbing boundary conditions (ABCs) exhibit instabilities that can be detrimental to a wide class of finite-difference time-domain (FDTD) open-region simulations. Earlier works attributed the cause of instabilities to the intrinsic construction or makeup of the ABCs, and consequently to the pole-zero distribution of the transfer ...
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A comparative study of absorbing boundary conditions
Journal of Computational Physics, 1988An explicit finite difference scheme is used for solving the Maxwell equations for two-dimensional electromagnetic wave propagation. For transverse magnetic polarization a simple system of hyperbolic equations with constant coefficients can be written. The grid parameters are chosen so that stability of the explicit scheme is satisfied.
Blaschak, Jeffrey G. +1 more
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Absorbing boundary conditions for solid waveguides
Mechanics Research Communications, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sprenger, H., Raman, S. R., Gaul, L.
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Absorbing boundary conditions for the fractional wave equation
Applied Mathematics and Computation, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Absorbing boundary conditions for acoustic media
Geophysics, 1985Abstract By decomposing the acoustic wave equation into incoming and outgoing components, an absorbing boundary condition can be derived to eliminate reflections from plane waves according to their direction of propagation. This boundary condition is characterized by a first-order differential operator.
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