A Generalized FDTD Method with Absorbing Boundary Condition for Solving a Time-Dependent Linear Schrodinger Equation

Frederick Ira Moxley III; Fei Zhu; Weizhong Dai

doi:10.4236/ajcm.2012.23022

A Generalized FDTD Method with Absorbing Boundary Condition for Solving a Time-Dependent Linear Schrodinger Equation

American Journal of Computational Mathematics ◽

10.4236/ajcm.2012.23022 ◽

2012 ◽

Vol 02 (03) ◽

pp. 163-172 ◽

Cited By ~ 4

Author(s):

Frederick Ira Moxley III ◽

Fei Zhu ◽

Weizhong Dai

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Fdtd Method ◽

Time Dependent ◽

Absorbing Boundary Condition ◽

Absorbing Boundary

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Analysis of a third-order absorbing boundary condition for the Schrödinger equation discretized in space

Applied Mathematics Letters ◽

10.1016/s0893-9659(04)90030-4 ◽

2004 ◽

Vol 17 (2) ◽

pp. 181-188

Author(s):

N. Reguera

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Absorbing Boundary Condition ◽

Third Order ◽

Absorbing Boundary

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Fast and stable evaluation of the exact absorbing boundary condition for the semi-discrete linear Schrödinger equation in unbounded domains

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.05.018 ◽

2017 ◽

Vol 326 ◽

pp. 116-125 ◽

Cited By ~ 2

Author(s):

Jiashun Hu ◽

Chunxiong Zheng

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Unbounded Domains ◽

Absorbing Boundary Condition ◽

Absorbing Boundary

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A Modulus-Squared Dirichlet Boundary Condition for Time-Dependent Complex Partial Differential Equations and Its Application to the Nonlinear Schrödinger Equation

SIAM Journal on Scientific Computing ◽

10.1137/130920046 ◽

2014 ◽

Vol 36 (1) ◽

pp. A1-A19 ◽

Cited By ~ 12

Author(s):

R. M. Caplan ◽

R. Carretero-González

Keyword(s):

Boundary Condition ◽

Partial Differential Equations ◽

Schrödinger Equation ◽

Differential Equations ◽

Dirichlet Boundary Condition ◽

Schrodinger Equation ◽

Dirichlet Boundary ◽

Nonlinear Schrodinger Equation ◽

Time Dependent ◽

Partial Differential

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Simulation of acoustic wave propagation in dispersive media with relaxation losses by using FDTD method with PML absorbing boundary condition

IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control ◽

10.1109/58.741419 ◽

1999 ◽

Vol 46 (1) ◽

pp. 14-23 ◽

Cited By ~ 44

Author(s):

Xiaojuen Yuan ◽

D. Borup ◽

J. Wiskin ◽

M. Berggren ◽

S.A. Johnson

Keyword(s):

Boundary Condition ◽

Wave Propagation ◽

Acoustic Wave ◽

Fdtd Method ◽

Absorbing Boundary Condition ◽

Dispersive Media ◽

Acoustic Wave Propagation ◽

Absorbing Boundary

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A Novel Absorbing Boundary Condition for the 3-D Split-Step FDTD Method

IEEE Microwave and Wireless Components Letters ◽

10.1109/lmwc.2012.2188021 ◽

2012 ◽

Vol 22 (4) ◽

pp. 167-169 ◽

Cited By ~ 1

Author(s):

Jianyi Zhou ◽

Jianing Zhao

Keyword(s):

Boundary Condition ◽

Fdtd Method ◽

Absorbing Boundary Condition ◽

Absorbing Boundary

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A Novel Technique Combining CIP Method With FDTD Method for Implementing Efficient Absorbing Boundary Condition in 3-D High Frequency Electromagnetic Field Analysis

IEEE Transactions on Magnetics ◽

10.1109/tmag.2007.916655 ◽

2008 ◽

Vol 44 (6) ◽

pp. 1470-1473

Author(s):

H. Fusayasu ◽

S. Hamada ◽

H. Inoue ◽

N. Kadonishi ◽

S. Fujino ◽

...

Keyword(s):

Boundary Condition ◽

Electromagnetic Field ◽

High Frequency ◽

Fdtd Method ◽

Field Analysis ◽

Absorbing Boundary Condition ◽

Cip Method ◽

Absorbing Boundary ◽

Novel Technique ◽

High Frequency Electromagnetic Field

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Absorbing Boundary Condition of FDTD method Based on Surface Equivalence Theorem Using Spherical Harmonics Expression

2019 International Conference on Electromagnetics in Advanced Applications (ICEAA) ◽

10.1109/iceaa.2019.8879211 ◽

2019 ◽

Author(s):

Hideki Kawaguchi

Keyword(s):

Boundary Condition ◽

Spherical Harmonics ◽

Fdtd Method ◽

Equivalence Theorem ◽

Absorbing Boundary Condition ◽

Absorbing Boundary

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Research on absorbing boundary condition in FDTD method

Proceedings of 2012 2nd International Conference on Computer Science and Network Technology ◽

10.1109/iccsnt.2012.6526220 ◽

2012 ◽

Author(s):

Li Ting ◽

Liu Ce ◽

Guo Chen ◽

Zhang Yong

Keyword(s):

Boundary Condition ◽

Fdtd Method ◽

Absorbing Boundary Condition ◽

Absorbing Boundary

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Effectiveness of a second order CPML absorbing boundary condition within the periodic FDTD method

2009 IEEE Antennas and Propagation Society International Symposium ◽

10.1109/aps.2009.5172210 ◽

2009 ◽

Cited By ~ 1

Author(s):

J.A. Roden ◽

J.P. Skinner ◽

S. Johns

Keyword(s):

Boundary Condition ◽

Fdtd Method ◽

Second Order ◽

Absorbing Boundary Condition ◽

Absorbing Boundary

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Non-uniform surface impedance absorbing boundary condition for FDTD method

2017 11th European Conference on Antennas and Propagation (EUCAP) ◽

10.23919/eucap.2017.7928717 ◽

2017 ◽

Author(s):

Yunlong Mao ◽

Atef Z Elsherbeni ◽

Si Li ◽

Tao Jiang

Keyword(s):

Boundary Condition ◽

Surface Impedance ◽

Fdtd Method ◽

Absorbing Boundary Condition ◽

Absorbing Boundary

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