Nonstandard finite difference time domain algorithm for Berenger's perfectly matched layer

Applied Computational Electromagnetics Society Journal

Volumn 26, Issue 2, 2011, Pages 153-159

  Okada, Naoki ^a   Cole, James B ^a  

^a UNIVERSITY OF TSUKUBA   (Japan)

Author keywords

Nonstandard finite difference time domain (NS FDTD) algorithm; Nonstandard perfectly matched layer (NS PML); Stability

Indexed keywords

ABSORBING BOUNDARY CONDITION; COARSE GRID; FINITE-DIFFERENCE TIME-DOMAIN ALGORITHMS; MONOCHROMATIC WAVE; NONSTANDARD FINITE DIFFERENCE TIME DOMAIN (NS-FDTD) ALGORITHM; NONSTANDARD FINITE DIFFERENCES; PERFECTLY MATCHED LAYER;

ALGORITHMS; ELECTROMAGNETIC FIELDS; ELECTROMAGNETIC WAVE ABSORPTION; FINITE DIFFERENCE TIME DOMAIN METHOD; WAVE PROPAGATION;

NUMERICAL METHODS;

EID: 79957959747     PISSN: 10544887     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (15)

1. R. E. Mickens, "Nonstandard Finite Difference Models of Differential Equations," World Scientific, 1994.
2. J. B. Cole, "High-Accuracy Yee Algorithm Based on Nonstandard Finite Differences: New Developments and Verifications," IEEE Trans. Antennas Propag., vol. 50, no. 9, 1185-1191, 2002. (Pubitemid 35428622)
3. J. B. Cole, S. Banerjee, and M. I. Haftel, "High Accuracy Nonstandard Finite Difference Time-Domain Algorithms for Computational Electromagnetics: Applications to Optics and Photonics," chap. 4, 89-109 in Advances in the Applications of Nonstandard Finite Difference Schemes, R. E. Mickens, ed., Scientific, 2005.
4. N. Okada and J. B. Cole, "Simulation of Whispering Gallery Modes in the Mie Regime using the Nonstandard Finite-Difference Time Domain Algorithm," J. Opt. Soc. Am. B, vol. 27, no. 4, 631-639, 2010.
5. J. B. Cole and D. Zhu, "Improved Version of the Second-Order Mur Absorbing Boundary Condition Based on a Nonstandard Finite Difference Model," Applied Computational Electromagnetic Society (ACES) Journal, vol. 24, no. 4, 375-381, 2009.
6. M. F. Hadi, "Wide-Angle Absorbing Boundary Conditions for Low and High-Order FDTD Algorithms," Applied Computational Electromagnetic Society (ACES) Journal, vol. 24, no. 1, 9-15, 2009.
7. J. P. Berenger, "A Perfectly Matched Layer for the Absorption of Electromagnetic Waves," J. Comput. Phys., vol. 114, no. 2, 185-200, 1994.
8. W. C. Chew and J. M. Jin, "Perfectly Matched Layers in the Discretized Space: An Analysis and Optimization," Electromagnetics, vol. 16, 325-340, 1996. (Pubitemid 126596311)
9. Z. Wu and J. Fang, "Numerical Implementation and Performance of Perfectly Matched Layer Boundary Condition for Waveguide Structures," IEEE Trans. Microwave Theory Tech., vol. 43, no. 12, 2676-263, 1995.
10. S. Abarbanel and D. Gottlieb, "A Mathematical Analysis of the PML Method," J. Comput. Phys., vol. 134, no. 2, 357-363, 1997. (Pubitemid 127170409)
11. F. L. Teixeira and W. C. Chew, "Finite-Difference Computation of Transient Electromagnetic Waves for Cylindrical Geometries in Complex Media," IEEE Trans. Geosci. Remote Sens., vol. 38, no. 4, 1530-1543, 2000.
12. R. L. Higdon, "Absorbing Boundary Conditions for Difference Approximations to the Multi-Dimensional Wave Equation," Mathematics of Computation, vol. 47, no. 176, 437-459, 1986.
13. W. C. Chew and W. H. Weedon, "A 3D Perfectly Matched Medium from Modified Maxwell's Equations with Stretched Coordinates," Microwave Optical Tech. Lett., vol. 7, no. 13, 599-604, 1994.
14. L. Zhao and A. C. Cangellaris, "A General Approach for the Development of Unsplit-Field Time-Domain Implementations of Perfectly Matched Layers for FDTD Grid Truncation," IEEE Microwave and Guided Wave Letters, vol. 6, no. 5, 209-211, 1996. (Pubitemid 126541724)
15. S. Wang and F. L. Teixeira, "Some Remarks on the Stability of Time-Domain Electromagnetic Simulations," IEEE Trans. Antennas Propag., vol. 52, no. 3, 895-898, 2004.