Complex sine-Gordon Equation in Coherent Optical Pulse Propagation

TL;DR

This paper links the McCall-Hahn theory of self-induced transparency in optical pulses to the complex sine-Gordon model, providing a new theoretical framework and insights into the phenomenon.

Contribution

It introduces a reformulation of self-induced transparency using the deformed gauged Wess-Zumino-Witten sigma model, revealing new aspects of the theory.

Findings

Identification of self-induced transparency with complex sine-Gordon theory

Reformulation using gauged Wess-Zumino-Witten sigma model

Addressing new theoretical aspects of the phenomenon

Abstract

It is shown that the McCall-Hahn theory of self-induced transparency in coherent optical pulse propagation can be identified with the complex sine-Gordon theory in the sharp line limit. We reformulate the theory in terms of the deformed gauged Wess-Zumino-Witten sigma model and address various new aspects of self-induced transparency.