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4 November 2010 Investigation of parabolic pulse generation in a normal dispersion-decreasing-linearly fiber
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Abstract
It is known that parabolic pulses can be generated by use of a normal dispersion-decreasing fiber in a "passive" manner. However, it is more practicable and significant for the dispersion-decreasing-linearly profile to be considered than for any other profiles once actual fiber manufacture were taken into account. In this work, we investigate the process of parabolic pulse generation (PPG) in a normal dispersion-decreasing-linearly fiber (NDDLF). Based on the principle of virtual "equivalent" gain, we transform the nonlinear Schrodinger equation (NLSE) with linearly decreasing dispersion into one of the form with "hyperbolic" gain and uniform dispersion. By numerically solving the two forms of NLSE, we demonstrate that wave breaking (WB) can still take place during the evolution and the WB point is the threshold that FWM begins to take effect. The distance where WB happens can be determined by the chirp oscillations appeared in the pulse edges. Furthermore, by introducing two dimensionless structural functionals to characterize the pulse temporal and spectral shape respectively, we also illustrate that these results are in consistent with that obtained from a dispersion-decreasing-hyperbolically fiber (NDDHF) except that WB occurs much ahead and both functional values are less close to the standard "parabolic shape" value 0.0720 for comparison.
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Ge Xia, Li Liu, Songzhan Li, Libing Zhou, and Dexiu Huang "Investigation of parabolic pulse generation in a normal dispersion-decreasing-linearly fiber", Proc. SPIE 7846, Quantum and Nonlinear Optics, 78460P (4 November 2010); https://doi.org/10.1117/12.868425
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