An Analysis of Liao’S Absorbing Boundary Condition

Journal of Electromagnetic Waves and Applications

Volumn 9, Issue 7-8, 1995, Pages 993-1009

  Wagner, R L ^a   Chew, W C ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0043037180     PISSN: 09205071     EISSN: 15693937     Source Type: Journal    
DOI: 10.1163/156939395X00686     Document Type: Article

References (19)

1. Liao, Z. P., H. L. Wong, B. P. Yang, and Y. F. Yuan, “A transmitting boundary for transient wave analyses,” Scientia Sinica (Series A), Vol. 27, No. 10, 1063-1076, October 1984.
2. Chew, W. C., Waves and Fields in Inhomogeneous Media, New York, Van Nostrand Reinhold, 1990.
3. Chew, W. C., and R. L. Wagner, “A modified form of Liao’s absorbing boundary condition,” IEEE AP-S/URSI Int. Symp. Dig., Chicago, IL, 536-539, July 1992.
4. Moghaddam, M., and W. C. Chew, “Stabilizing Liao’s absorbing boundary conditions using single-precision arithmetic,” IEEE AP-S/URSI Int. Symp. Dig., London, Ontario, Canada, 430-433, June 1991.
5. Moghaddam, M., E. J. Yannakakis, W. C. Chew, and C. Randall, “Modeling of the subsurface interface radar,” J. Electromag. Waves Appi, Vol. 5, No. 1, 17-39, 1991.
6. Omick, S. R., and S. P. Castillo, “A new finite-difference time-domain algorithm for the accurate modeling of wide-band electromagnetic phenomena,” IEEE Trans. Electromag. Compat., Vol. 35, No. 2, May 1993.
7. Penny, C. W., and R. J. Luebbers, “Input impedance, radiation pattern, and radar cross section of spiral antennas using FDTD,” IEEE Trans. Ant. Prop., Vol. 42, No. 9, 1328-1332, September 1994.
8. Higdon, R. L., “Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation,” Math. Comp., Vol. 47, No. 176, 437-459, October 1986.
9. Abramowitz, M., and I. A. Stegun, Handbook of Mathematical Functions, New York, Dover Publications, Inc., 1965.
10. Higdon, R. L., “Numerical absorbing boundary conditions for the wave equation,” Math. Comp., Vol. 49, No. 179, 65-90, July 1987.
11. Bi, Z., K. Wu, C. Wu, and J. Litva, “A dispersive boundary condition for microstrip component analysis using the FD-TD method,” IEEE Trans. Microwave Theory Tech., Vol. 40, No. 4, 774-777, April 1992.
12. Betz, V., and R. Mittra, “Comparison and evaluation of boundary conditions for the absorption of guided waves in an FDTD simulation,” IEEE Microwave Guided Waves Lett., Vol. 2, No. 12, 499-501, December 1992.
13. Trefethen, L. N., “Group velocity in finite difference schemes,” SIAM Review, Vol. 24, No. 2, 113-136, April 1982.
14. Mur, G., “Absorbing boundary condition for the finite-difference approximation of the time-domain electromagnetic-field equations,” IEEE Trans. Electromag. Compat., Vol. 23, No. 4, 377-382, November 1981.
15. Gustafsson, B., H.-O. Kreiss, and A. Sundstrom, “Stability theory of difference approximations for initial boundary value problems II,” Math. Comp., Vol. 26, 649-686, 1972.
16. Trefethen, L. N., “Instability of difference models for hyperbolic initial boundary value problems,” Comm. Pure Appl. Math, Vol. 37, 329-367, 1984.
17. Fang, J., “Investigation on the stability of absorbing boundary conditions for the time-domain finite-difference method,” IEEE AP-S/URSI Int. Symp. Dig., Chicago, IL, 548-551, July 1992.
18. Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P Flannery, Numerical Recipes in Fortran: the Art of Scientific Computing - 2nd ed., New York, Cambridge University Press, 1992.
19. Railton, C. J., and E. M. Daniel, “A comparison of the properties of radiating boundary conditions in the FDTD method for finite discretisation and non-planar waves,” IEEE Trans. Ant. Prop., Vol. 42, No. 2, 276-281, February 1994.