Higher-order unconditionally stable algorithms to solve the time-dependent Maxwell equations

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 65, Issue 6, 2002, Pages

  Kole, J S ^a   Figge, M T ^a   De Raedt, H ^a  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ELECTRIC FIELDS; ELECTROMAGNETIC FIELDS; MATHEMATICAL MODELS; MAXWELL EQUATIONS; PERMITTIVITY; VECTORS;

CENTRAL-DIFFERENCE SCHEME; COMPUTER RESOURCES; ENERGY DENSITY; SPATIAL DISCRETIZATION;

ALGORITHMS;

EID: 37649030617     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.066705     Document Type: Article

References (22)

1. J. S. Kole, M. T. Figge, and H. De Raedt, Phys. Rev. E 64, 066705 (2001).
2. M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1964).
3. H. F. Trotter, Proc. Am. Math. Soc. 10, 545 (1959).
4. M. Suzuki, S. Miyashita, and A. Kuroda, Prog. Theor. Phys. 58, 1377 (1977).
5. M. Suzuki, J. Math. Phys. 26, 601 (1985); 32, 400 (1991).
6. M. Suzuki, J. Math. Phys. 26, 601 (1985); 32, 400 (1991).
7. H. De Raedt and B. De Raedt, Phys. Rev. A 28, 3575 (1983).
8. H. De Raedt, Comput. Phys. Rep. 7, 1 (1987).
9. H. Kobayashi, N. Hatano, and M. Suzuki, Physica A 211, 234 (1994).
10. H. De Raedt and K. Michielsen, Comput. Phys. 8, 600 (1994).
11. A. Rouhi, J. Wright, Comput. Phys. 9, 554 (1995).
12. B. A. Shadwick and W. F. Buell, Phys. Rev. Lett. 79, 5189 (1997).
13. M. Krech, A. Bunker, and D. P. Landau, Comput. Phys. Commun. 111, 1 (1998).
14. P. Tran, Phys. Rev. E 58, 8049 (1998).
15. K. Michielsen, H. De Raedt, J. Przeslawski, and N. Garcia, Phys. Rep. 304, 89 (1998).
16. H. De Raedt, A. H. Hams, K. Michielsen, and K. De Raedt, Comput. Phys. Commun. 132, 1 (2000).
17. K. S. Yee, IEEE Trans. Antennas Propag. 14, 302 (1966).
18. A. Taflove and S. C. Hagness, Computational Electrodynamics - The Finite-Difference Time-Domain Method (Artech House, Boston, 2000).
19. For information about the program package GDFIDL, see: http:// www.gdfidl.de
20. R. Alben, M. Blume, H. Krakauer, and L. Schwartz, Phys. Rev. B 12, 4090 (1975).
21. A. Hams and H. De Raedt, Phys. Rev. E 62, 4365 (2000).
22. See F. Scheid, Theory and Problems of Numerical Analysis (McGraw-Hill, New York, 1968), Chap. 13.