Unconditionally stable ADI-FDTD formulations of the APML for frequency-dependent media

IEEE Microwave and Wireless Components Letters

Volumn 14, Issue 11, 2004, Pages 537-539

  Ramadan, Omar ^a  

^a EASTERN MEDITERRANEAN UNIVERSITY   (Turkey)

Author keywords

Alternating direction implicit (ADI); Anisotropic perfectly matched layer (APML); Auxiliary differential equation; Finite difference time domain (FDTD); Frequency dependent media

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; FINITE DIFFERENCE METHOD; FOURIER TRANSFORMS; MATHEMATICAL MODELS; PERMITTIVITY; TIME DOMAIN ANALYSIS;

ABSORBING BOUNDARY CONDITIONS (ABC); INFINITE FREQUENCY PERMITTIVITY; TIME ITERATIONS;

ELECTRIC FIELD EFFECTS;

EID: 9144225961     PISSN: 15311309     EISSN: None     Source Type: Journal    
DOI: 10.1109/LMWC.2004.837060     Document Type: Article

References (14)

1. A. Taflove and S. C. Hangess, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 2nd ed. Boston, MA: Artech, 2000.
2. T. Namiki, "A new FDTD algorithm based on alternating-direction implicit method," IEEE Trans. Microwave Theory Tech., vol. 47, pp. 2003-2007, Oct. 1999.
3. J.-P. Berenger, "A perfectly matched layer for the absorption of electro-magnetic waves," J. Comput. Phys., vol. 114, pp. 185-200, 1994.
4. W. C. Chew and W. H. Weedon, "A 3-D perfectly matched medium from modified Maxwell's equation with stretched coordinates," Microwave Opt. Technol. Lett., vol. 7, no. 13, pp. 599-604, 1994.
5. S. D. Gedney, "An anisotropic perfectly-matched layer-absorbing medium for the truncation of FD-TD lattices," IEEE Trans. Antennas Propagat., vol. 44, pp. 1630-1639, Dec. 1996.
6. S. D. Gedney, G. Liu, J. A. Roden, and A. Zhu, "Perfectly matched layer media with CFS for an unconditionally stable ADI-FDTD method," IEEE Trans. Antennas Propagat., vol. 49, pp. 1554-1559, Nov. 2001.
7. A. P. Zhao, "Uniaxial perfectly matched layer media for an unconditionally stable 3-D ADI-FD-TD method," IEEE Microwave Wireless Compon. Lett., vol. 12, pp. 497-499, Dec. 2002.
8. S. Schmidt and G. Lazzi, "Extension and validation of a perfectly matched layer formulation for the unconditionally stable D-H FDTD method," IEEE Microwave Wireless Compon. Lett., vol. 13, pp. 345-347, Aug. 2003.
9. S. W. Staker, C. L. Holloway, A. U. Bhobe, and M. P. -May, "Alternating-direction implicit (ADI) formulation of the finite-fifference time-domain (FDTD) method: Algorithm and material dispersion implementation," IEEE Trans. Electromagn. Compat., vol. 45, pp. 156-166, June 2003.
10. S. G. García, R. G. Rubio, A. R. Bretones, and R. G. Martín, "Extention of the ADI-FDTD method to Debye media," IEEE Trans. Antennas Propagat., vol. 51, pp. 3183-3186, Nov. 2003.
11. X. T. Dong, N. V. Venkatarayalu, B. Guo, W. Y. Yin, and Y. B. Gan, "General formulation of unconditionally stable ADI-FDTD method in linear dispersive media," IEEE Trans. Microwave Theory Tech., vol. 52, pp. 170-174, Jan. 2004.
12. O. Ramadan, "Unconditionally stable ADI-FDTD implementation of PML for frequency dispersive Debye media," Electron. Lett., vol. 40, no. 4, pp. 230-232, 2004.
13. J. Chen, Z. 'Wang, and Y. Chen, "Higher-order alternative direction implicit FDTD method," Electron. Lett., vol. 38, no. 22, pp. 1321-1322, 2002.
14. G. Sun and C. W. Trueman, "Some fundamental characteristics of the one-dimensional alternate-direction-implicit finite-difference-time-domain method," IEEE Trans. Microwave Theory Tech., vol. 52, pp. 46-52, Jan. 2004.