27 April 2016 Self-similar mode of optical pulse propagation in a medium with non-instantaneous multi-photon absorption
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Abstract
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.
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Vyacheslav A. Trofimov, Aleksey A. Kalinovich, Irina G. Zakharova, "Self-similar mode of optical pulse propagation in a medium with non-instantaneous multi-photon absorption", Proc. SPIE 9886, Micro-Structured and Specialty Optical Fibres IV, 98861A (27 April 2016); doi: 10.1117/12.2225179; https://doi.org/10.1117/12.2225179
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