On the transmission of data packets through fiber-optic cables of uniform index

Abstract

The treatment of Maxwell equations show that propagating wave of packets in fiber-optic cables is dispersive, propagating in groups, such that group velocity along certain curves in the frequency-phase velocity diagrams vanishes. It is suggested that stalling of wave groups is responsible, for bursting propagation observed in experimental measurements, causing some delay in transmission. The dispersion equations developed here,are different from those given in texts that are based on“weakly guiding approximation”. The queue of such data packets arriving at a router station is found to have a“raised tail”distribution unlike that of Poisson arrivals. For accounting the property, a Mittag-Leffler function distribution (MLFD) of probability is used following a modification of that for a Poisson process, the tail raising is shown to cause delay in transmission, and its estimate is analysed based on the theory.