Absorbing boundary conditions for the finite-difference time-domain calculation of the one-dimensional Schrödinger equation

Tsugumichi Shibata

doi:10.1103/physrevb.43.6760

Absorbing boundary conditions for the finite-difference time-domain calculation of the one-dimensional Schrödinger equation

Physical Review B ◽

10.1103/physrevb.43.6760 ◽

1991 ◽

Vol 43 (8) ◽

pp. 6760-6763 ◽

Cited By ~ 42

Author(s):

Tsugumichi Shibata

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Time Domain ◽

Finite Difference Time Domain ◽

Schrodinger Equation ◽

Absorbing Boundary Conditions ◽

Absorbing Boundary ◽

One Dimensional ◽

The One ◽

Difference Time

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Generalized Finite-Difference Time-Domain method with absorbing boundary conditions for solving the nonlinear Schrödinger equation on a GPU

Computer Physics Communications ◽

10.1016/j.cpc.2018.02.013 ◽

2019 ◽

Vol 235 ◽

pp. 279-292 ◽

Cited By ~ 3

Author(s):

Joshua P. Wilson

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Time Domain ◽

Finite Difference Time Domain ◽

Schrodinger Equation ◽

Absorbing Boundary Conditions ◽

Time Domain Method ◽

Absorbing Boundary ◽

Domain Method ◽

Difference Time

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Higher order formulation of absorbing boundary conditions for finite-difference time-domain method

Electronics Letters ◽

10.1049/el:19931347 ◽

1993 ◽

Vol 29 (23) ◽

pp. 2018 ◽

Cited By ~ 4

Author(s):

P.Y. Wang ◽

S. Kozaki ◽

M. Ohki ◽

T. Yabe

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Time Domain ◽

Finite Difference Time Domain ◽

Higher Order ◽

Absorbing Boundary Conditions ◽

Time Domain Method ◽

Absorbing Boundary ◽

Domain Method ◽

Difference Time

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Finite difference time domain analysis of TM waves under PML absorbing boundary conditions

Journal of Chemical Biological and Physical Sciences ◽

10.24214/jcbps.c.8.4.51119 ◽

2018 ◽

Vol 8 (4) ◽

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Time Domain ◽

Finite Difference Time Domain ◽

Time Domain Analysis ◽

Domain Analysis ◽

Absorbing Boundary Conditions ◽

Absorbing Boundary ◽

Difference Time

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An Efficient Second-Order Finite Difference Method for the One-Dimensional Schrödinger Equation with Absorbing Boundary Conditions

SIAM Journal on Numerical Analysis ◽

10.1137/17m1122347 ◽

2018 ◽

Vol 56 (2) ◽

pp. 766-791 ◽

Cited By ~ 4

Author(s):

Buyang Li ◽

Jiwei Zhang ◽

Chunxiong Zheng

Keyword(s):

Finite Difference ◽

Finite Difference Method ◽

Boundary Conditions ◽

Difference Method ◽

Schrodinger Equation ◽

Absorbing Boundary Conditions ◽

Second Order ◽

Absorbing Boundary ◽

One Dimensional ◽

The One

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Performance of convolutional PML absorbing boundary conditions in finite-difference time-domain SAR calculations

Physics in Medicine and Biology ◽

10.1088/0031-9155/52/23/027 ◽

2007 ◽

Vol 52 (23) ◽

pp. 7183-7192 ◽

Cited By ~ 20

Author(s):

Ilkka Laakso ◽

Sami Ilvonen ◽

Tero Uusitupa

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Time Domain ◽

Finite Difference Time Domain ◽

Absorbing Boundary Conditions ◽

Absorbing Boundary ◽

Difference Time

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Compact Finite Difference Time Domain Absorbing Boundary Conditions for Electrically Large Waveguide Modeling

Electromagnetics ◽

10.1080/02726340902876944 ◽

2009 ◽

Vol 29 (4) ◽

pp. 291-302

Author(s):

Mohammed F. Hadi

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Time Domain ◽

Finite Difference Time Domain ◽

Absorbing Boundary Conditions ◽

Absorbing Boundary ◽

Compact Finite Difference ◽

Difference Time

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Higher order absorbing boundary conditions for the finite-difference time-domain method

IEEE Transactions on Antennas and Propagation ◽

10.1109/8.182454 ◽

1992 ◽

Vol 40 (10) ◽

pp. 1215-1222 ◽

Cited By ~ 44

Author(s):

P.A. Tirkas ◽

C.A. Balanis ◽

R.A. Renaut

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Time Domain ◽

Finite Difference Time Domain ◽

Higher Order ◽

Absorbing Boundary Conditions ◽

Time Domain Method ◽

Absorbing Boundary ◽

Domain Method ◽

Difference Time

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On the synthesis of exact free space absorbing boundary conditions for the finite-difference time-domain method

IEEE Transactions on Antennas and Propagation ◽

10.1109/8.138832 ◽

1992 ◽

Vol 40 (4) ◽

pp. 456-460 ◽

Cited By ~ 15

Author(s):

J.C. Olivier

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Time Domain ◽

Free Space ◽

Finite Difference Time Domain ◽

Absorbing Boundary Conditions ◽

Time Domain Method ◽

Absorbing Boundary ◽

Domain Method ◽

Difference Time

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Generalized Z-domain absorbing boundary conditions for the analysis of electromagnetic problems with finite-difference time-domain method

IEEE Transactions on Microwave Theory and Techniques ◽

10.1109/tmtt.2002.806908 ◽

2003 ◽

Vol 51 (1) ◽

pp. 82-90 ◽

Cited By ~ 7

Author(s):

Zhenhai Shao ◽

Wei Hong ◽

Jianyi Zhou

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Time Domain ◽

Finite Difference Time Domain ◽

Absorbing Boundary Conditions ◽

Time Domain Method ◽

Absorbing Boundary ◽

Electromagnetic Problems ◽

Z Domain ◽

Difference Time

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Permittivity in the finite-difference time-domain equations and maximum conductivity in the perfectly matched layer absorbing boundary conditions: erratum

Applied Optics ◽

10.1364/ao.45.002843 ◽

2006 ◽

Vol 45 (12) ◽

pp. 2843

Author(s):

Wenbo Sun

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Time Domain ◽

Finite Difference Time Domain ◽

Perfectly Matched Layer ◽

Absorbing Boundary Conditions ◽

Absorbing Boundary ◽

Maximum Conductivity ◽

Difference Time

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