We develop an analytical approach for finding of self-similar shape of an optical pulse at its propagation in a medium with non-instantaneous nonlinear absorption. The main feature of such pulse shape is asymmetric. Moreover, this mode of optical pulse propagation takes place only for a chirped pulse in contrast to well-known soliton solution of nonlinear Schrödinger equation (or set of such equations). Therefore, we discuss a new type of self-similar mode of laser pulse propagation: self-similar chirped pulse. An existence of this pulse takes place for certain distance of its propagation. We derive a relation between the problem parameters and shape of pulse and its chirp which are necessary for an occurrence of the self-similar mode for optical pulse propagation in a medium under consideration. The developed solution is confirmed by computer simulation results.

Date Published: 27 April 2016
PDF: 7 pages
Proc. SPIE 9886, Micro-Structured and Specialty Optical Fibres IV, 98861A (27 April 2016); doi: 10.1117/12.2225179

Published in SPIE Proceedings Vol. 9886:
Micro-Structured and Specialty Optical Fibres IV
Kyriacos Kalli; Alexis Mendez, Editor(s)