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Subcell Treatment of Sloped Interfaces between Debye Materials in the FDTD Method

Year 2020, Volume: 1 Issue: 1, 12 - 20, 02.07.2020

Kenan Tekbas

Abstract

This paper presents the application of the subcell technique for the treatment of sloped interface in finite-difference time-domain method. The technique is based on the averaging of permittivities in each cell crossed by the material interface. The frequency-dependent behaviour of materials was characterized using one-pole Debye model. The numerical experiment was conducted on the two-dimensional space.

Keywords

FDTD finite-difference time-domain

References

  • Taflove, A. & Hagness, S. C. (2005), Computational electrodynamics: the finite-difference time-domain method , Artech House , Norwood
  • T. G. Jurgens, A. Taflove, K. Umashankar, and T. G. Moore. Finite-difference time-domain modeling of curved surfaces. IEEE Trans. Antennas Propag., 40(4):357–366, Apr 1992.
  • S. Dey and R. Mittra. A locally conformal finite-difference time-domain (FDTD) algorithm for modeling three-dimensional perfectly conducting objects. IEEE Microwave and Guided Wave Letters, 7(9):273–275, Sep 1997.
  • W. Yu and R. Mittra. A conformal finite difference time domain technique for modeling curved dielectric surfaces. IEEE Microw. Compon. Lett., 11(1):25–27, Jan 2001.
  • Y. Zhao and Y. Hao. Finite-difference time-domain study of guided modes in nano-plasmonic waveguides. IEEE Trans. Antennas Propag., 55(11):3070–3077, Nov 2007.
  • C. Argyropoulos, Y. Zhao, and Y. Hao. A radially-dependent dispersive finite-difference time-domain method for the evaluation of electromagnetic cloaks. in IEEE Trans. Antennas Propag., 57(5):1432–1441, May 2009.
  • K. Tekbas, F. Costen, J. Bérenger, R. Himeno and H. Yokota, "Subcell Modeling of Frequency-Dependent Thin Layers in the FDTD Method," in IEEE Trans. Antennas Propag.,, vol. 65, no. 1, pp. 278-286, Jan. 2017
  • J. G. Maloney and G. S. Smith. The efficient modeling of thin material sheets in the finite-difference time-domain (FDTD) method. IEEE Trans. Antennas Propag., 40(3):323–330, Mar 1992.
  • J. Nadobny, D. Sullivan, W. Wlodarczyk, P. Deuflhard and P. Wust, "A 3-D tensor FDTD-formulation for treatment of sloped interfaces in electrically inhomogeneous media," in IEEE Trans. Antennas Propag., vol. 51, no. 8, pp. 1760-1770, Aug. 2003.

Year 2020, Volume: 1 Issue: 1, 12 - 20, 02.07.2020

Kenan Tekbas

Abstract

References

  • Taflove, A. & Hagness, S. C. (2005), Computational electrodynamics: the finite-difference time-domain method , Artech House , Norwood
  • T. G. Jurgens, A. Taflove, K. Umashankar, and T. G. Moore. Finite-difference time-domain modeling of curved surfaces. IEEE Trans. Antennas Propag., 40(4):357–366, Apr 1992.
  • S. Dey and R. Mittra. A locally conformal finite-difference time-domain (FDTD) algorithm for modeling three-dimensional perfectly conducting objects. IEEE Microwave and Guided Wave Letters, 7(9):273–275, Sep 1997.
  • W. Yu and R. Mittra. A conformal finite difference time domain technique for modeling curved dielectric surfaces. IEEE Microw. Compon. Lett., 11(1):25–27, Jan 2001.
  • Y. Zhao and Y. Hao. Finite-difference time-domain study of guided modes in nano-plasmonic waveguides. IEEE Trans. Antennas Propag., 55(11):3070–3077, Nov 2007.
  • C. Argyropoulos, Y. Zhao, and Y. Hao. A radially-dependent dispersive finite-difference time-domain method for the evaluation of electromagnetic cloaks. in IEEE Trans. Antennas Propag., 57(5):1432–1441, May 2009.
  • K. Tekbas, F. Costen, J. Bérenger, R. Himeno and H. Yokota, "Subcell Modeling of Frequency-Dependent Thin Layers in the FDTD Method," in IEEE Trans. Antennas Propag.,, vol. 65, no. 1, pp. 278-286, Jan. 2017
  • J. G. Maloney and G. S. Smith. The efficient modeling of thin material sheets in the finite-difference time-domain (FDTD) method. IEEE Trans. Antennas Propag., 40(3):323–330, Mar 1992.
  • J. Nadobny, D. Sullivan, W. Wlodarczyk, P. Deuflhard and P. Wust, "A 3-D tensor FDTD-formulation for treatment of sloped interfaces in electrically inhomogeneous media," in IEEE Trans. Antennas Propag., vol. 51, no. 8, pp. 1760-1770, Aug. 2003.
There are 9 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research & Review Articles
Authors

Kenan Tekbas

Publication Date July 2, 2020
Published in Issue Year 2020 Volume: 1 Issue: 1

Cite

APA Tekbas, K. (2020). Subcell Treatment of Sloped Interfaces between Debye Materials in the FDTD Method. Journal of Amasya University the Institute of Sciences and Technology, 1(1), 12-20.
AMA Tekbas K. Subcell Treatment of Sloped Interfaces between Debye Materials in the FDTD Method. J. Amasya Univ. Inst. Sci. Technol. July 2020;1(1):12-20.
Chicago Tekbas, Kenan. “Subcell Treatment of Sloped Interfaces Between Debye Materials in the FDTD Method”. Journal of Amasya University the Institute of Sciences and Technology 1, no. 1 (July 2020): 12-20.
EndNote Tekbas K (July 1, 2020) Subcell Treatment of Sloped Interfaces between Debye Materials in the FDTD Method. Journal of Amasya University the Institute of Sciences and Technology 1 1 12–20.
IEEE K. Tekbas, “Subcell Treatment of Sloped Interfaces between Debye Materials in the FDTD Method”, J. Amasya Univ. Inst. Sci. Technol., vol. 1, no. 1, pp. 12–20, 2020.
ISNAD Tekbas, Kenan. “Subcell Treatment of Sloped Interfaces Between Debye Materials in the FDTD Method”. Journal of Amasya University the Institute of Sciences and Technology 1/1 (July 2020), 12-20.
JAMA Tekbas K. Subcell Treatment of Sloped Interfaces between Debye Materials in the FDTD Method. J. Amasya Univ. Inst. Sci. Technol. 2020;1:12–20.
MLA Tekbas, Kenan. “Subcell Treatment of Sloped Interfaces Between Debye Materials in the FDTD Method”. Journal of Amasya University the Institute of Sciences and Technology, vol. 1, no. 1, 2020, pp. 12-20.
Vancouver Tekbas K. Subcell Treatment of Sloped Interfaces between Debye Materials in the FDTD Method. J. Amasya Univ. Inst. Sci. Technol. 2020;1(1):12-20.
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