Toward the construction of a fourth-order difference scheme for transient em wave simulation: staggered grid approach

IEEE Transactions on Antennas and Propagation

Volumn 45, Issue 11, 1997, Pages 1573-1580

  Young, J L ^a   Gaitonde, D ^a   Shang, J S ^b  

^a UNIVERSITY OF IDAHO   (United States)

^b AIR FORCE RESEARCH LABORATORY   (United States)

Author keywords

Fdtd methods

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; INTEGRATION; MAXWELL EQUATIONS; TIME DOMAIN ANALYSIS;

FOURTH ORDER DIFFERENCE METHOD; RUNGE KUTTA INTEGRATOR;

ELECTROMAGNETIC WAVES;

EID: 0031271311     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/8.650067     Document Type: Article

References (21)

1. K. S. YeeNumerical solution of initial boundary value problems involving Maxwell's equations in isotropic media IEEE Trans. Antennas Propagat., vol. AP-14, pp. 302-307, May 1966.
2. A. Taflove and K. UmashankarRadar cross section of general threedimensional scatterers IEEE Trans. Electromagn. Compat., vol. EMC-25, pp. 433440, Aug. 1983.
3. D. M. Sullivan, D. T. Borup, and O. P. GandhiUse of the finitedifference time-domain method in calculating EM absorption in human tissues IEEE Trans. Biomed. Eng., vol. BE-34, pp. 148-157, Feb. 1987.
4. J. FangTime domain finite difference computation for Maxwell's equations Ph.D. dissertation, Univ. California, Berkeley, CA, 1989.
5. K. L. Shlager, J. G. Maloney, S. L. Ray, and A. F. PetersonRelative accuracy of several finite-difference time-domain methods in two and three-dimensions IEEE Trans. Antennas Propagat., vol. 41, pp. 1732-1737, Dec. 1993.
6. M. F. Hadi and M. Piket-MayA modified FDTD (2, 4) scheme for modeling electrically large structures with high phase accuracy in 12th Anna. Rev. Progress Appl. Computat. Electromagn., Monterey, CA, Mar. 1996, pp. 1023-1030.
7. B. GustafssonThe convergence rate for difference approximations to mixed initial boundary value problems Math. Computat., vol. 29, pp. 396-406, 1975.
8. M. H. Carpenter, D. Gottlieb, and S. AbarbanelThe stability of numerical boundary treatments for compact higher-order finite difference schemes Inst. Comput. Applicat. Sei. Eng., Rep. 91-71, 1991.
9. J. S. ShangCharacteristic-based algorithms for solving Maxwell's equations in the time-domain IEEE Antennas Propagat. Mag., vol. 37, pp. 15-25, June 1995.
10. A. C. CangellarisNumerical stability and numerical dispersion of a compact 2-D FDTD method used for the dispersion analysis of waveguides IEEE Microwave Guided Wave Lett., vol. 3, pp. 3-5, 1993.
11. G. MurAbsorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic-field equations IEEE Trans. Electromagn. Compat., vol. EMC-23, pp. 377-382, Nov. 1981.
12. D. Gottlieb and B. YangComparisons of staggered and nonstaggered schemes for Maxwell's equations in 12th Annu. Rev. Progress Appl. Computat. Electromagn., Monterey, CA, Mar. 1996, pp. 1122-1131.
13. S. K. LeleCompact finite difference schemes with spectral-like resolution J. Computat. Phys., vol. 103, pp. 1612, 1992.
14. L. H. ThomasElliptic problems in linear difference equations over a network Watson Sei. Comput. Lab. Rep., Columbia Univ., New York, NY, 1949.
15. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes. Cambridge, U.K.: Cambridge Univ. Press, 1986.
16. D. Gaitonde and J. S. ShangHigh-order finite-volume schemes in wave propagation phenomena in 27th Amer. Inst. Aeronaut. Astronaut. Plasmadynamics Lasers Conf., New Orleans, LA, paper AIAA 96-2335, June 1996.
17. J. L. YoungA higher order FDTD method for EM propagation in a collisionless, cold plasma IEEE Trans. Antennas Propagat., vol. 44, pp. 1283-1289, Sept. 1996.
18. D. J. FyfeEconomical evaluation of Runge-Kutta formulae, Math. Computat., vol. 20, pp. 392-398, 1966.
19. J. H. WilliamsonLow-storage Runge-Kutta schemes J. Comp. Phys., vol. 35, pp. 48-56, 1980.
20. J. R. Wait, Introduction to Antennas and Propagation. London, U.K.: Peter Peregrinus, 1986.
21. D. Gaitonde, J. S. Shang, and J. L. YoungPractical aspects of highorder accurate finite-volume schemes for electromagnetics in 35th AIAA Aerosp. Sei. Meet. Exhibit, AIAA 97-0363, Reno, NV, Jan. 1997.