Mathematical & Computational Aspects of Dispersive Wave Phenomena


Kurt E. Oughstun



Due to its high bandwidth and information rate, fiber optics forms the backbone of both the internet and the telecommunications industry. For example, a terabit information rate requires that an optical pulse have at most a 500 femtosecond (fs) temporal duration. When  the ten to one hundred terabit rate is achieved, the temporal pulse widths will have then decreased to the true ultrashort limit of 50 fs to 5 fs where the pulse spectrum is ultrawideband. Material dispersion effects in the glass fiber will then become critical as the group velocity approximation breaks down. The mathematical and computational challenges of ultrashort pulse propagation in such a dispersive channel are reviewed with particular attention given to the limitations imposed by unnecessary simplifying assumptions.