The 2.5-D multidomain pseudospectral time-domain algorithm

IEEE Transactions on Antennas and Propagation

Volumn 51, Issue 3, 2003, Pages 619-627

  Zhao, Gang ^a   Liu, Qing Huo ^a  

^a Duke University   (United States)

Author keywords

2.5 D Maxwell's equations; Domain decomposition; Finite difference time domain (FDTD) method; Perfectly matched layer (PML); Pseudospectral tune domain (PSTD) method

Indexed keywords

ALGORITHMS; ELECTROMAGNETIC WAVE SCATTERING; FINITE DIFFERENCE METHOD; FOURIER TRANSFORMS; MAXWELL EQUATIONS; OPTICAL WAVEGUIDES; TIME DOMAIN ANALYSIS;

PERFECTLY MATCHED LAYER (PML);

ELECTROMAGNETIC WAVE PROPAGATION;

EID: 0038614843     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2003.809852     Document Type: Article

References (32)

1. K. S. Yee, "Numerical 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. J. L. Young, D. Gaitonde, and J. J. S. Shang, "Toward the construction of a fourth-order difference scheme for transient EM wave simulation: Staggered grid approach," IEEE Trans. Antennas Propagat., vol. 45, pp. 1573-1580, Nov. 1997.
3. J. Fang, "Time domain finite difference computations for Maxwell's equations," Ph.D. dissertation, Univ. California, Berkeley, 1989.
4. K. L. Shlager, J. G. Maloney, S. L. Ray. and A. F. Peterson, "Relative accuracy of several finite-difference time-domain methods in two and three-dimensions," IEEE Trans. Antennas Propagat., vol. 41, pp. 1732-1737, Dec. 1993.
5. M. F. Hadi and M. Piket-May, "A modified FDTD (2, 4) scheme for modeling electrically large structure with high phase accuracy," in Proc. 12th Annu. Rev. Progress Appl. Computat. Electromagn., Monterey. CA, Mar. 1996, pp. 1023-1030.
6. Q. H. Liu, "A spectral-domain method with perfectly matched layers for time-domain solutions of Maxwell's equations," in Proc. 1996 URSI Meeting, Baltimore, MD, July 1996.
7. _, "The PSTD algorithm: A time-domain method requiring only two cells per wavelength," Microwave Opt. Technol. Lett., vol. 15, pp. 158-165, 1997.
8. _, "The pseudospectral time-domain (PSTD) method: A new algorithm for solutions of Maxwell's equations," in Proc. IEEE Antennas Propagat. Soc. Int. Symp., vol. 1, July 1997, pp. 122-125.
9. _, "Finite-difference and pseudospectral time-domain methods for subsurface radar applications," in Proc. IEEE Antennas Propagat. Soc. Int. Symp., vol. 2. July 1997, pp. 990-993.
10. _, "Large-scale simulations of electromagnetic and acoustic measurements using the pseudospoctral time-domain (PSTD) algorithm," IEEE Trans. Geosci. Remote Sensing, vol. 37, pp. 917-926, 1999.
11. _, "PML and PSTD algorithm for arbitrary lossy anisotropic media," IEEE Microwave Guided Wave Lett., vol. 9, pp. 48-50, Feb. 1999.
12. B. Yang, D. Gottlieb, and J. S. Hesthaven. "Spectral simulation of electromagnetic wave scattering," J. Comput. Phys., vol. 134, pp. 216-230, 1997.
13. J. S. Hesthaven, P. G. Dinesen, and J. P. Lynov, "Spectral collocation time-domain modeling of diffrative optical elements," J. Comput. Phys., vol. 155, pp. 287-306, 1999.
14. B. Yang and J. S. Hesthaven, "A pseudospectral method for time-domain computation of electromagnetic scattering by bodies of revolution," IEEE Trans. Antennas Propagat., vol. 47, pp. 132-141, Jan. 1999.
15. M. Moghaddam, W. C. Chew, B. Anderson, E. Yannakakis, and Q. H. Liu, "Computation of transient electromagnetic waves in inhomogeneous media," Radio Sci., vol. 26, no. 1, pp. 265-273, 1991.
16. Z. B. Tang and Q. H. Liu, "The 2.5-D PSTD algorithm with PML absorbing boundary condition," in Proc. 1998 IEEE APS Int. Symp., June 1998. pp. 1496-1499.
17. G. X. Fan, Q. H. Liu, and J. S. Hesthaven, "Multi-domain pseudospectral time-domain method for simulation of scattering from buried objects in lossy media," IEEE Trans. Geosci. Remote Sensing, vol. 40, pp. 1366-1373. June 2002.
18. M. H. Carpenter and C. A. Kennedy, "Fourth order 2N-storage Runge-Kutta scheme,", Tech. Rep. NASA-TM-109112, 1994.
19. H. D. Leslie and C. J. Randall, "Eccentric dipole sources in fluid-filled boreholes-Numerical and experimental results," J. Acoust. Soc. Amer., vol. 87, pp. 2405-2421, 1990.
20. C. J. Randall, "Multipole acoustic wave-forms in nanaxisymmetric boreholes and formations," J. Acoust. Soc. Amer., vol. 90, pp. 1620-1631, 1991.
21. W. J. Gordon and C. A. Hall, "Transfinite element methods: Blending function interpolation over arbitrary curved element domains," Numer. Math., vol. 21, pp. 109-129, 1973.
22. B. Tian and Q. H. Liu, "Nonuniform fast cosine transform and Chebyshev PSTD algorithm," in Proc. Progress Electromagn. Res. (PIER 28), 2000, pp. 259-279.
23. C. Canuto, M. Y. Hussani, A. Quarteroni, and T. Zang, Spectral Methods in Fluid Dynamics. New York: Springer-Verlag, 1988.
24. J. P. Berenger, "A Perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys., vol. 114, pp. 185-200, 1994.
25. S. Abarbanel and D. Gottlieb, "A mathematical analysis of the PML method," J. Comput. Phys., vol. 134, pp. 357-363, 1997.
26. G.-X. Fan and Q. H. Liu, "A well-posed PML absorbing boundary condition for lossy media," in Proc. IEEE Antennas Propagat. Soc. Int. Symp., vol. 3, 2001, pp. 2-5.
27. S. D. Gedney, "An anistropic perfectly matched layer - Absorbing medium for trunction of FDTD lattices," IEEE Trans. Antennas Propagat., vol. 44, pp. 1630-1639, Dec. 1996.
28. R. W. Ziolkowsky, "The design of Maxwellian absorbers for numerical boundary conditions and for practical applications using engineering artificial materials," IEEE Trans. Antennas Propagat., vol. 45, pp. 656-671, Apr. 1997.
29. E. Turkel and A. Yefet, "Absorbing PML boundary layers for wave-like equations," Appl. Numer. Math., vol. 27, pp. 533-557, 1998.
30. Q. H. Liu, "An FDTD algorithm with perfectly matched layers for conductive media,"Microwave Opt. Tech. Lett., vol. 14, pp. 134-137, 1997.
31. K. Bierwirth, N. Schulz, and F. Arndt, "Finite-difference analysis of rectangular dielectric waveguides structures," IEEE Trans. Microwave Theory Tech., vol. MTT-34, pp. 1104-1114, Nov. 1985.
32. Z. Tang, "The 2.5-D pseudospectral time-domain (PSTD) algorithm and its applications," M. S. thesis, New Mexico State Univ., May 1999.