1 May 2014 Self-similar pulse-shape mode for femtosecond pulse propagation in medium with resonant nonlinearity
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Abstract
We investigate the mode of laser pulse propagation in homogeneous medium with resonant nonlinearity, at which the shape of pulse is self-similar one along some distance of propagation. We take into account a laser pulse frequency detuning from resonant frequency. Both types of sign for frequency detuning are considered. This results in appearance of a refractive index grating which induced self-action of a laser pulse. I certain cases we develop analytical solution of corresponding nonlinear eigenfunction problem of laser pulse propagation in medium for multi-photon resonance. This solution is confirmed by computer simulation of an eigenfunction problem for Schrödinger equation with considered nonlinearity. Using computer simulation, one shows a validity of existence of such kind of laser pulse propagation in a medium with resonant nonlinear response.
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Vyacheslav A. Trofimov, Vyacheslav A. Trofimov, Irina G. Zakharova, Irina G. Zakharova, Swapan Konar, Swapan Konar, "Self-similar pulse-shape mode for femtosecond pulse propagation in medium with resonant nonlinearity", Proc. SPIE 9136, Nonlinear Optics and Its Applications VIII; and Quantum Optics III, 91360Z (1 May 2014); doi: 10.1117/12.2049403; https://doi.org/10.1117/12.2049403
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