We investigate the possibility of femto- or picoseconds pulse self-similar propagation in a medium containing noble metal nanorods. The main attention is devoted to the nonlinear chirped solitons propagation. Our investigation is bases on the semi-classical approach. Using this approach, we derive the set of equation, which describe the atomic states and electric field dynamics. We take into account non-stationarity of the density matrix elements, two-photon absorption of laser radiation and the non-stationary process of nanorods aspect ratio changing due to the nanorods reshaping under the action of laser radiation. On the basis of numerical calculations, we reveal the influence of the non-stationarity of the density matrix elements on the possibility of the laser pulse self-similar propagation in the medium with nanorods.
V. A. Trofimov, T. M. Lysak, and M. M. Loginova, "Laser pulse self-similar propagation in a medium with noble metal nanoparticles under conditions of non-stationary processes," Proc. SPIE 10730, Nanoengineering: Fabrication, Properties, Optics, and Devices XV, 1073014 (Presented at SPIE Nanoscience + Engineering: August 23, 2018; Published: 19 September 2018); https://doi.org/10.1117/12.2322617.
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