High accuracy analytical presentation of the propagation of chirped super-Gaussian pulses in dispersive media

Chirped and non-chirped Super Gaussians (SG) are very common in pulse modeling for optical communications. However, unlike Gaussian pulses, the propagation (and distortions) of SG pulses in dispersive media cannot be expressed in closed-form analytical expression, nor can its Fourier transform, i.e. its spectrum. In this paper, it is shown that analytical smooth rectangular can be utilized to formulate analytically (in both time and frequency domains) with high accuracy the propagation of chirped SG pulses in dispersive medium. The paper also elaborates on chirped pulses cascading and on the propagation of asymmetric SG pulses.