Trapezoidal recursive convolution-based FDTD method for arbitrary-shaped dispersive materials

J. Shibayama; K. Suzuki; J. Yamauchi; H. Nakano

Trapezoidal recursive convolution-based FDTD method for arbitrary-shaped dispersive materials

View Fulltext

Author(s): J. Shibayama¹ ; K. Suzuki¹ ; J. Yamauchi¹ ; H. Nakano¹
- Affiliations: 1: Faculty of Science and Engineering , Hosei University , 3-7-2, Kajino-cho, Koganei, Tokyo 184-8584 , Japan
Source: Volume 54, Issue 25, 13 December 2018, p. 1429 – 1430
DOI: 10.1049/el.2018.7039 , Print ISSN 0013-5194, Online ISSN 1350-911X

Received 04/10/2018, Published 07/11/2018

A trapezoidal recursive convolution (TRC) technique is one of the simple ways to incorporate dispersive models into the finite-difference time-domain (FDTD) method. The authors newly develop the TRC–FDTD method for the analysis of arbitrary-shaped dispersive materials using a dispersive contour-path algorithm. The accuracy of the present method is found to be the same as that using the Z-transform technique with reduced computational requirements.

References

1. 1)
  - 1. Siushansian, R., LoVetri, J.: ‘A comparison of numerical techniques for modeling electromagnetic dispersive media’, IEEE Microw. Guid. Wave Lett., 1995, 5, (12), pp. 426–428 (doi: 10.1109/75.481849).
2. 2)
  - 9. Shibayama, J., Suzuki, K., Yamauchi, J., et al: ‘Dispersive contour-path algorithm for the TRC-FDTD method’. Int. Conf. on Numerical Simulation Optoelectronic Devices, Hong Kong, China, November 2018, TuA6.
3. 3)
  - 2. Sullivan, D.M.: ‘Frequency-dependent FDTD methods using Z transforms’, IEEE Trans. Antennas Propag., 1992, 40, (10), pp. 1223–1230 (doi: 10.1109/8.182455).
4. 4)
  - 2. Joseph, R.M., Hagness, S.C., Taflove, A.: ‘Direct time integration of Maxwell equations in linear dispersive media with absorption for scattering and propagation of femtosecond electromagnetic pulses’, Opt. Lett., 1991, 16, (18), pp. 1412–1414 (doi: 10.1364/OL.16.001412).
5. 5)
  - 8. Mohammadi, A., Jalali, T., Agio, M.: ‘Dispersive contour-path algorithm for the two-dimensional finite-difference time-domain method’, Opt. Exp., 2008, 16, (10), pp. 7397–7406 (doi: 10.1364/OE.16.007397).
6. 6)
  - 10. Zhao, Y., Belov, P., Hao, Y.: ‘Accurate modeling of the optical properties of left-handed media using a finite-difference time-domain method’, Phys. Rev. E, 2007, 75, (3), pp. 037602-1–037602-4 (doi: 10.1103/PhysRevE.75.037602).
7. 7)
  - 11. Fu, Q., Sun, W.: ‘Mie theory for light scattering by a spherical particle in an absorbing medium’, Appl. Opt., 2001, 40, (9), pp. 1354–1361 (doi: 10.1364/AO.40.001354).
8. 8)
  - 1. Kashiwa, T., Fukai, I.: ‘A treatment by FD–TD method of dispersive characteristics associated with electronic polarization’, Microw. Opt. Technol. Lett., 1990, 3, (6), pp. 203–205 (doi: 10.1002/mop.4650030606).
9. 9)
  - 3. Kelley, D.F., Luebbers, R.J.: ‘Piecewise linear recursive convolution for dispersive media using FDTD’, IEEE Trans. Antennas Propag., 1996, 44, (6), pp. 792–797 (doi: 10.1109/8.509882).
10. 10)
  - 4. Shibayama, J., Ando, R., Nomura, A., et al: ‘Simple trapezoidal recursive convolution technique for the frequency-dependent FDTD analysis of a Drude-Lorentz model’, IEEE Photonics Technol. Lett., 2009, 21, (2), pp. 100–102 (doi: 10.1109/LPT.2008.2009003).
11. 11)
  - 7. Shibayama, J., Wada, Y., Yamauchi, J., et al: ‘Analysis of two- and three-dimensional plasmonic waveguide band-pass filters using the TRC–FDTD method’, IEICE Trans. Electron., 2016, E99-C, (7), pp. 817–819 (doi: 10.1587/transele.E99.C.817).

Correspondence

This article has following corresponding article(s):

in brief

Login

Not registered yet?

Share

Tools

Login to add to favourites

Key

Trapezoidal recursive convolution-based FDTD method for arbitrary-shaped dispersive materials

References

Related content