We report in this work the numerical study of the supercontinuum
generation (SCG) phenomenon raised from femtosecond truncated Airy
pulses within a silicon-on-insulator (SOI) waveguide including
loss effects, third-harmonic generation (THG) and
negative-frequency Kerr (NFK) terms. This study is conducted
through a modeling based on the full unidirectional pulse
propagation equation (UPPE) model which allows to assume the
existence of the NFK term in the Kerr nonlinearity with a spectral
filtering. The various effects of the linear loss (LL), the
free-carrier absorption (FCA)/ free-carrier dispersion (FCD), the
two-photon absorption (TPA), the THG, the NFK, the peak power, the
pulse duration and the pulse shape are explored and discussed. For
the shape comparison, we use a symmetrical profile of the
sech-type pulse. More specifically, we show that the Airy pulse has SCG
spectra that are less influenced by the waveguide than the
sech-type symmetric pulse; moreover, the losses effectively reduce
the spectral intensity (S.I) and the spectral bandwidth (S.B) of
the spectra while the THG and the NFK increase them. However, the
most deleterious factor for the Airy pulse is the LL, while that
of the sech-type pulse is the TPA. The SCG spectra of the Airy
pulse are broader and more coherent than that of the sech-type in
the studied waveguide. Due to the presence of linear and nonlinear
loss terms, the increase in signal energy is deleterious to the
SCG in this silicon waveguide; this results in smaller spectra as
peak power and pulse duration increase.