FD-TD method with PMLs ABC based on the principles of multidimensional wave digital filters for discrete-time modelling of Maxwell's equations

IEICE Transactions on Electronics

Volumn E81-C, Issue 2, 1998, Pages 305-313

  Naka, Yoshihiro ^a   Ikuno, Hiroyoshi ^a   Nishimoto, Masahiko ^a   Yata, Akira ^a  

^a KUMAMOTO UNIVERSITY   (Japan)

Author keywords

Dielectric optical waveguide; Finite difference time domain method; Multidimensional wave digital filters; Numerical dispersion; Perfectly matched layers

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; DIGITAL FILTERS; ELECTRIC CURRENT CONTROL; ERROR ANALYSIS; FREQUENCY DOMAIN ANALYSIS; MATHEMATICAL MODELS; MAXWELL EQUATIONS; OPTICAL WAVEGUIDES; TIME DOMAIN ANALYSIS;

FINITE DIFFERENCE TIME DOMAIN (FD TD) METHOD;

ELECTROMAGNETIC FIELD THEORY;

EID: 0031998680     PISSN: 09168524     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (16)

1. A. Taflove, "Computational Electrodynamics The FiniteDifTerence Time-Domain Method," Chap.5, Artech House, Boston, 1995.
2. R.W. Ziolkowski and J.B. Judkins, "Full vector Maxwell equation modeling of the self-focusing of ultrafast optical pulses in a nonlinear Kerr medium exhibiting a finite response time," J. Opt. Soc. Am., B, vol.10, pp.186-198, 1993.
3. M.P. May, A. Taflove, and J. Baron, "FD-TD modeling of digital signal propagation in 3-D circuits with passive and active loads," IEEE Trans., vol.MTT-42, pp.1514-1523, 1994.
4. Y.P. Li and C.H. Henry, "Silica-based optical integrated circuits," IEE Proc. Optoelectron., vol.143, no.5, Oct. 1996.
5. O.J.F. Martin, C. Girard, and A. Dereux, "Generalized field propagator for electromagnetic scattering and light confinement," Phys. Rev. Lett., vol.74, pp.526-529, 1995.
6. K.S. Yee, "Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media," IEEE Trans., voI.AP-14, pp.302-307, 1966.
7. J.P. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Computational Phys., vol.114, pp. 185-200, 1994.
8. J.P. Berenger, "Three-dimensional perfectly matched layer for the absorption of electromagnetic waves," J. Computational Phys., vol 127, pp.363-379, 1996.
9. A. Fettweis, "Wave digital filters: Theory and practice," Proc. IEEE, vol.74, pp.270-327, 1986.
10. A. Fettweis and G. Nitsche, "Numerical integration of partial differential equations using principles of multidimensional wave digital filters," J. VLSI Signal Processing, vol.3, pp.7-24, 1991.
11. A. Fettweis and G. Nitsche, "Transformation approach to numerically integrating PDEs by means of WDF principles," Multidimensional Systems and Signal Process., vol.2, pp. 127-159, 1991.
12. A. Fettweis, "Multidimensional wave digital filters for discrete-time modelling of Maxwell's equations," Int. J. Numerical Modelling, vol.5, pp.183-201, 1992.
13. H. Ikuno, Y. Naka, M. Nishimoto, and A. Yata, "FD-TD method based on the principles of the wave digital filters and evaluation of its numerical errors," Proc. 1997 Sino-Japanese Joint Meeting on Optical Fiber Science and Electromagnetic Theory, pp.30S-3I3, 1997.
14. Y. Naka, H. Ikuno, and M. Nishimoto, "Analysis of dielectric slab optical waveguides using the FD-TD method," IEICE Technical Report, LQE97-7l", 1995.
15. D.E. Johnson, J.L. Hilburn, and J.R. Johnson, "Basic electric circuit analysis," Chap.3, Prentice-Hall, 1984.
16. D.R. Lynch and K.D. Paulsen, "Origin of vector parasitics in numerical Maxwell solution,"-!EEE Trans. Microwave Theory Tech., vol.39, no.3, pp.383-394, March 1991.