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Analytical Expression for the Time-Domain Green's Function of a Discrete Plane Wave Propagating in the 3-D FDTD Grid

Abstrakt

In this paper, a closed-form expression for the time-domain dyadic Green’s function of a discrete plane wave (DPW) propagating in a 3-D finite-difference time-domain (FDTD) grid is derived. In order to verify our findings, the time-domain implementation of the DPW-injection technique is developed with the use of the derived expression for 3-D total-field/scattered-field (TFSF) FDTD simulations. This implementation requires computations of the time-domain Green’s function of DPW with the use of multiple-precision arithmetic. Then, excitations at the TFSF interface can be computed as a time-domain convolution of a source function with the Green’s function of DPW. The developed time-domain implementation of the DPW-injection technique demonstrates the leakage error across the TFSF interface around the numerical noise level that verifies the correctness of the derivation.

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Copyright (2017 IEEE)

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Kategoria:
Publikacja w czasopiśmie
Typ:
artykuł w czasopiśmie wyróżnionym w JCR
Opublikowano w:
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION nr 65, strony 3607 - 3614,
ISSN: 0018-926X
Język:
angielski
Rok wydania:
2017
Opis bibliograficzny:
Stefański T., Reichel B.: Analytical Expression for the Time-Domain Green's Function of a Discrete Plane Wave Propagating in the 3-D FDTD Grid// IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. -Vol. 65, nr. 7 (2017), s.3607-3614
DOI:
Cyfrowy identyfikator dokumentu elektronicznego (otwiera się w nowej karcie) 10.1109/tap.2017.2700019
Bibliografia: test
  1. A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd ed. Boston, MA: Artech House, 2005. otwiera się w nowej karcie
  2. C. D. Moss, F. L. Teixeira, and J. A. Kong, "Analysis and compensation of numerical dispersion in the FDTD method for layered, anisotropic media," IEEE Trans. Antennas Propag., vol. 50, no. 9, pp. 1174-1184, Sep. 2002. otwiera się w nowej karcie
  3. J. B. Schneider "Plane waves in FDTD simulations and a nearly perfect total-field/scattered-field boundary," IEEE Trans. Antennas Propag., vol. 52, no. 12, pp. 3280-3287, Dec. 2004. otwiera się w nowej karcie
  4. T. Tan and M. Potter, "Optimized analytic field propagator (O-AFP) for plane wave injection in FDTD simulations," IEEE Trans. Antennas Propag., vol. 58, no. 3, pp. 824-831, March 2010. otwiera się w nowej karcie
  5. T. Tan and M. Potter, "1-D multipoint auxiliary source propagator for the total-field/scattered-field FDTD formulation," IEEE Antennas Wireless Propag. Lett, vol. 6, pp. 144-148, 2007. otwiera się w nowej karcie
  6. T. Tan and M. Potter, "On the nature of numerical plane waves in FDTD," IEEE Antennas Wireless Propag. Lett, vol. 8, pp. 505-508, 2009.
  7. T. Tan and M. Potter, "FDTD discrete planewave (FDTD-DPW) formu- lation for a perfectly matched source in TFSF simulations," IEEE Trans. Antennas Propag., vol. 58, no. 8, pp. 2641-2648, Aug. 2010. otwiera się w nowej karcie
  8. J. Vazquez and C. G. Parini, "Discrete Green's function formulation of FDTD method for electromagnetic modelling," Electron. Lett., vol. 35, no. 7, pp. 554-555, Apr. 1999. otwiera się w nowej karcie
  9. R. Holtzman and R. Kastner, The time-domain discrete Green's function method (GFM) characterizing the FDTD grid boundary," IEEE Trans. Antennas Propag., vol. 49, no. 7, pp. 1079-1093, Jul. 2001. otwiera się w nowej karcie
  10. W. Ma, M. R. Rayner, and C. G. Parini, "Discrete Green's function for- mulation of the FDTD method and its application in antenna modeling," IEEE Trans. Antennas Propag., vol. 53, no. 1, pp. 339-346, Jan. 2005. otwiera się w nowej karcie
  11. R. Kastner, "A multidimensional Z-transform evaluation of the discrete finite difference time domain Green's function," IEEE Trans. Antennas Propag., vol. 54, no. 4, pp. 1215-1222, Apr. 2006. otwiera się w nowej karcie
  12. T. P. Stefanski, "A new expression for the 3-D dyadic FDTD-compatible Green's function based on multidimensional Z-transform," IEEE Antennas Wireless Propag. Lett, vol. 14, pp. 1002-1005, 2015. otwiera się w nowej karcie
  13. T. P. Stefanski, "Analytical expression for the time-domain discrete Green's function of a plane wave propagating in the 2-D FDTD grid," IEEE Antennas Wireless Propag. Lett, vol. 13, pp. 887-890, 2014. otwiera się w nowej karcie
  14. D. E. Dudgeon and R. M. Mersereau, Multidimensional Digital Signal Processing, Prentice-Hall Signal Processing Series Englewood Cliffs, N.J, USA: Prentice Hall, 1984.
  15. MATLAB Release 2010a, The MathWorks, Inc., Natick, Massachusetts, United States. otwiera się w nowej karcie
  16. JOURNAL OF L A T E X CLASS FILES, VOL. 14, NO. 8, AUGUST 2015 9 otwiera się w nowej karcie
  17. T. P. Stefanski, "Electromagnetic problems requiring high-precision computations," IEEE Antennas Propag. Mag., vol. 55, no. 2, pp. 344- 353, April 2013. otwiera się w nowej karcie
  18. T. Granlund, "The multiple precision integers and rationals library (Edition 2.2.1)," GMP Development Team, 2010 [Online]. Available: http://www.mpir.org
  19. T. Nakayama and D. Takahashi, "Implementation of multiple-precision floating-point arithmetic library for GPU computing," in Proc. 23rd IASTED PDCS, Dec. 1416, 2011, pp. 343-349. otwiera się w nowej karcie
Weryfikacja:
Politechnika Gdańska

wyświetlono 69 razy

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