Linear and nonlinear propagation of sinh-Gaussian pulses in dispersive media possessing Kerr nonlinearity

This paper presents an investigation on linear and nonlinear propagation of sinh-Gaussian pulses in a dispersive medium possessing Kerr nonlinearity. First, the effects of group velocity dispersion and nonlinearity have been treated separately, and then, the dynamic interplay between group velocity dispersion and nonlinearity induced self phase modulation have been discussed. In both normal and anomalous dispersive media, these pulses broaden due to GVD at a much slower rate in comparison to Gaussian pulses. With the increase in the value of sinh factor Ohm(0), the broadening decreases for both chirped and unchirped pulses. It has been found that the self phase modulated spectra are associated with considerable internal structure. For small value of Ohm(0), the number of peaks in the spectrum is less, whereas, for large value of Ohm(0), number of internal peaks is more in comparison to Gaussian pulses. Moreover, number of internal peaks increases with the increase in the value of Ohm(0). When the pulse power is appropriate, they can propagate as antisymmetric solitons in anomalous dispersive media. Linear stability analysis shows that such solitons are stable. The dynamic behavior of these pulses, when magnitude of nonlinearity and dispersion are not same, has been also discussed. (C) 2004 Elsevier B.V. All rights reserved.