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Stability and numerical dispersion of symplectic fourth-order time-domain schemes for optical field simulation

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4 Author(s)
Hirono, T. ; NTT Opto-Electron. Labs., Kanagawa, Japan ; Lui, W.W. ; Yokoyama, K. ; Seki, S.

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%

Published in:

Lightwave Technology, Journal of  (Volume:16 ,  Issue: 10 )

Date of Publication:

Oct 1998

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