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IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, VOL. 48, NO. 7, JULY 2000 1127
Three-Dimensional Optical Pulse Simulation
Using the FDTD Method
Dennis Sullivan, Senior Member, IEEE, Jun Liu, and Mark Kuzyk
Abstract—As the use of optical waveguides expands, it would The FDTD method has been shown to be capable of sim-
be desirable to have an explicit three-dimensional simulation ulating dispersive and nonlinear EM phenomena of the type
method to analyze characteristics and develop new devices. One found in optical fibers [4], [5]. Such simulations have been car-
such method is the finite-difference time-domain (FDTD) method.
The FDTD method requires a relatively high sampling density per ried out by several research groups, but three-dimensional sim-
wavelength, making simulation over distances of several wave- ulation is problematic because of the computer resources re-
lengths difficult. Several techniques are described to make such a quired. The FDTD method requires from 10 to 30 points per
simulation possible with limited computer resources. Among them wavelength. Wavelengths in optical fibers tend to be on the order
is a moving problem space, which holds the pulse in the middle and of a micrometer, thus, simulation of more than a few microme-
moves the background medium past the pulse. Simultaneously,
Fourier and wavelet analyses are used to characterize the pulse. ters become unwieldy when all three dimensions are involved.
In this paper, a different approach to the simulation of op-
Index Terms—Nonlinear, optical fiber, simulation.
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