Nonuniform grid time domain (NGTD) algorithm for fast evaluation of transient wave fields

IEEE Transactions on Antennas and Propagation

Volumn 54, Issue 7, 2006, Pages 1943-1951

  Boag, Amir ^a   Lomakin, Vitaliy ^b   Michielssen, Eric ^c  

^a TEL AVIV UNIVERSITY   (Israel)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL GEOMETRY; ELECTROMAGNETIC FIELD MEASUREMENT; INTEGRATION; TIME DOMAIN ANALYSIS;

AMPLITUDE-COMPENSATED FIELDS; DELAY-COMPENSATED FIELDS; NONUNIFORM GRID TIME DOMAIN ALGORITHM; TRANSIENT WAVE FIELDS;

ELECTROMAGNETIC WAVE PROPAGATION;

EID: 33746874410     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2006.877186     Document Type: Article

References (21)

1. A. F. Peterson, S. L. Ray, and R. Mittra, Computational Methods for Electromagnetics. New York: IEEE Press, 1998.
2. M. B. Friedman and R. Shaw, "Diffraction of pulses by cylindrical obstacles of arbitrary cross section," J. Appl. Mech., vol. 29, pp. 40-46, 1962.
3. R. Mittra, "Integral equation methods for transient scattering," in Transient Electromagnetic Fields, L. B. Felsen, Ed. Berlin:SPringer Verlag, 1976, pp. 74-128.
4. E. K. Miller, "A selective survey of computational electromagnetics," IEEE Trans. Antennas Propag., vol. 36, pp. 1281-1305, 1988.
5. A. A. Ergin, B. Shanker, and E. Michielssen, "Fast evaluation of three-dimensional transient wave fields using diagonal translation operators," J. Comp. Phys., vol. 146, pp. 157-180, 1998.
6. A. A. Ergin, B. Shanker, and E. Michielssen, "The plane wave time domain algorithm for the fast analysis of transient wave phenomena," IEEE Antennas Propagat. Mag., 1999.
7. B. Shanker, E. Michielssen, A. A. Ergin, and K. Aygun, "Two level fast marching on in time solvers for analyzing electromagnetic scattering problems," IEEE Trans. Antennas Propag., vol. 48, no. 4, pp. 510-523, Apr. 2000.
8. D. S. Weile, G. Pisharody, N.-W. Chen, B. Shanker, and E. Michielssen, "A novel scheme for the solution of the time-domain integral equations of electromagnetics," IEEE Trans. Antennas Propag., vol. 52, no. 1, pp. 283-295, Jan. 2004.
9. V. Rokhlin, "Rapid solution of integral equations of scattering theory in two dimensions," J. Comput. Phys., vol. 36, pp. 414-439, 1990.
10. C. C. Lu and W. C. Chew, "A fast algorithm for solving hybrid integral equation," Proc. Inst. Elect. Eng., vol. 140, no. 6, pt. H, pp. 455-460, Dec. 1993.
11. K. Aygun, M. Lu, B. Shanker, and E. Michielssen, "Analysis of PCB level EMI phenomena using an adaptive low-frequency plane wave time domain algorithm," in Proc. IEEE Int. Symp. Electromagnetic Compatibility, Aug. 2000, vol. 1, pp. 21-25.
12. A. Boag, V. Lomakin, E. Heyman, and E. Michielssen, "Fast evaluation of time domain fields by domain decomposition and non-uniform spherical grid interpolation," in URSI Radio Science Meeting, San Antonio, TX, Jun. 2002.
13. A. Boag, V. Lomakin, E. Michielssen, and E. Heyman, "Non-uniform grid time domain (NGTD) algorithm for fast evaluation of transient fields," in IEEE EMC Int. Symp., Istanbul, Turkey, May 2003.
14. O. M. Bucci and G. Franceschetti, "On the spatial bandwidth of scattered fields," IEEE Trans. Antennas Propag., vol. 35, no. 12, pp. 1445-1455, Dec. 1987.
15. A. Boag, "A fast iterative physical optics (FIPO) algorithm based on non-uniform polar grid interpolation," Microw. Opt. Technol. Lett., vol. 35, no. 3, pp. 240-244, Nov. 5, 2002.
16. A. Boag, E. Michielssen, and A. Brandt, "Non-uniform polar grid algorithm for fast field evaluation," IEEE Antennas Wireless Propag. Lett., vol. 1, no. 7, pp. 142-145, 2002.
17. A. Boag, U. Shemer, and R. Kastner, "Hybrid absorbing boundary conditions based on fast non-uniform grid integration for non-convex scatterers," Microw. Opt. Technol. Lett., vol. 43, no. 2, pp. 102-106, Oct. 20, 2004.
18. A. Boag and B. Livshitz, "Non-uniform grid (NG) algorithm for fast capacitance extraction," in 8th IEEE Workshop on Signal Propagation on Interconnects (SPI), Heidelberg, Germany, May 2004.
19. J. S. Zhao and W. C. Chew, "Three-dimensional multilevel fast multipole algorithm from static to electrodynamic," Microwave Opt. Technol. Lett., vol. 26, no. 1, pp. 43-47, Jul. 5, 2000.
20. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions. New York: Dover, 1965.
21. J. A. Stratton, Electromagnetic Theory. New York: McGraw-Hill, 1941.