Abstract
In this paper, we present a numerical model to study counter pulse
propagation in semiconductor optical amplifiers. An improved
finite-difference beam propagation method for solving the modified nonlinear
Schrödinger equation is applied for the first time in the
counterpropagation regime. In our model, group velocity dispersion,
two-photon absorption, ultrafast nonlinear refraction, and the change in the
gain peak wavelength with carrier density are included, which have not been
considered simultaneously in previous counterpropagation models. The model
is applied to demonstrate how a subpicosecond and picosecond probe pulse
shape and spectrum can be modified by a counterpropagating pump pulse. Based
on the results obtained by this model, while subpicosecond probe pulses can
be compressed by in this scheme, their time-bandwidth product are also
improved significantly. Furthermore, the effects of several parameters are
analyzed to obtain the proper probe spectral peak shift using
counterpropagating probe pulses. The accuracy and computational efficiency
of the new scheme are assessed through numerical examples and are shown to
be superior to previously published approaches.
© 2009 IEEE
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