The ultra-short pulse optical parametric amplification based on continuous wave pump and pulse signal model is
investigated by solving three nonlinear Schrödinger equations numerically. The effect of the order of soliton is presented
by comparing the evolution process of signal pulse and the changing of root mean square width of signal. The
phenomenon of signal pulse splitting and the broadening of the pulse will appear in the amplification process. Larger
order of the soliton makes the pulse split at first, then begin to broaden. Smaller order of the soliton leads to the
broadening of pulse firstly, then the pulse begin to split after propagating in a section of fiber.
We propose a new method for ultrashort light pulse generation. This method is based on the spatiotemporal instability in dispersive Kerr medium. By formulating a linear instability analysis based on the (3+1)-dimensional nonlinear Schrodinger equation including arbitrary higher-order dispersions, we have disclosed the generic role played by arbitrary higher-order dispersions in spatiotemporal instability. We find that the fourth-order dispersion leads to the appearance of new instability regions which can extend far away from the original instability region. In addition, due to the fourth-order dispersion, temporal instability can develop for any spatial frequencies, and by increasing the spatial frequency, the corresponding temporal instability frequency can be easily increased. Numerical simulations show that the new instability regions can be used to generate a sequence of ultrashort light bullets. The repetition-rate of the generated bullets can be made quite large by increasing the corresponding spatial modulation frequency locating in the new instability region resulted from the fourth-order dispersion.
In this paper a method for obtaining a high-power ultrashort pulse
with ultrabroad bandwidth has been investigated. A theoretical
investigation of the propagation and supercontinuum generation of
the highly chirped pulse having been stretched and amplified are
presented by numerical simulations in microstructured optical
fiber. Comparing with the case of a chirp-free pulse, a chirped
pulse with the same peak power and initial bandwidth can produce a
broader supercontinuum spectrum with higher average power. After a
felicitous compression, a high power ultrashort pulse that has an
ultrabroad bandwidth much larger than that of the pump pulse can
be produced.
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