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Journal of Lightwave Technology

Journal of Lightwave Technology


  • Vol. 16, Iss. 10 — Oct. 1, 1998
  • pp: 1915–

Stability and Numerical Dispersion of Symplectic Fourth-Order Time-Domain Schemes for Optical Field Simulation

Takuo Hirono, W. W. Lui, K. Yokoyama, and S. Seki

Journal of Lightwave Technology, Vol. 16, Issue 10, pp. 1915- (1998)

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The use of a more accurate scheme is effective in reducing the required memory resources in the explicit time-domain simulation of optical field propagation. A promising technique is the application of the symplectic integrator, which can simulate the long-term evolution of a Hamiltonian system accurately. The stability condition and the numerical dispersion of schemes with fourth-order accuracy in time and space using the symplectic integrator are derived for the transverse electric (TE)-mode in two dimensions. Their stable and accurate performance is qualitatively verified, and is also demonstrated by numerical simulations of wave-converging by a perfect electric conductor wall and propagation along a waveguide whose refractive index difference between the core and cladding is more than 9%.


Takuo Hirono, W. W. Lui, K. Yokoyama, and S. Seki, "Stability and Numerical Dispersion of Symplectic Fourth-Order Time-Domain Schemes for Optical Field Simulation," J. Lightwave Technol. 16, 1915- (1998)

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  1. S. T. Chu and S. K. Chaudhuri, "A finite-difference time-domain method for the design and analysis of guided-wave optical structures," J. Lightwave Technol., vol. 7, pp. 2033-2038, 1989.
  2. J. C. Chen, A. Haus, S. Fan, P. R. Villeneuve, and J. D. Joannopoulos, "Optical filters from photonic band gap air bridges," J. Lightwave Technol., vol. 14, pp. 2575-2580, 1996.

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