Optical Solitary Wave Solutions in Dispersive Linear Waveguides

Abstract

Optical solitons, and particularly solitary waves, which preserve their shape and energy as they propagate through a medium, have attracted considerable attention because of their potential applications in ultra-high bit-rate optical communication and ultrafast signal-routing systems [1]. So far the most of the researches on the optical solitons are focused on the nonlinear region. However, an envelope optical solitary wave solution has been obtained in a dispersive linear medium recently [2]. This may open a new way of realizing very high bit-rate optical communications. In this paper, we present a novel type of exact optical (envelope) solitary wave solution in cylindrical linear optical waveguides. Uhlike the conventional bright solitary wave in cubic nonlinear media, the present bright solitary wave solution can be obtained in the normal (positive) GVD regime. In addition, a peculiar feature of the solution is that it may achieve a condition of “zero-dispersion” to the media so that a solitary wave of arbitrarily small amplitude may be propagated with no dependence on its pulse width.