Modeling of superradiance in a resonator under conditions of frequency drift caused by resonant nonlinearity
https://doi.org/10.29235/1561-8323-2026-70-2-108-118
Abstract
Several modifications of the Maxwell–Bloch equations are presented for analyzing the emission characteristics of pulsed lasers. The analysis is performed under the condition of coherent interaction between light and a gain medium with resonant phase nonlinearity. For the first time, the interrelated factors of instability of the phase relationship of the light field and the response of the medium, caused by the dipole-dipole interaction and the contribution of quasi-resonant polarization, are taken into account. To describe the superradiance (SR) regime, semi-analytical expressions for the response variables in the Bloch vector formalism are refined. Various approximations of the original model are represented by systems of kinetic equations for the field and response variables of the medium, as well as a nonlinear oscillatory equation for the polar angle of the Bloch vector. Modeling of the coherent SR effect in a resonator showed that the temporal structure of SR is extremely sensitive to the resonant nonlinearity of the material response. It is shown that under nonlinear conditions, the typical nutational intensity structure of synchrotron radiation is transformed into a contrasting quasi-periodic modulation of the trailing edge of the main pulse in the subpicosecond range. A computational analysis of the synchrotron radiation process in a resonator is performed for the parameters of semiconductor quantum dot systems in nanoheterostructures. Such systems are considered promising for use in compact optical electronics and photonics devices.
About the Authors
E. V. Timoshchenko
Mogilev State A. Kuleshov University
Belarus
Belarus
Timoshchenko Elena V. – Ph. D. (Physics and Mathematics), Associate Professor, Head of the Departmen
1, Kosmonavtov Str., 212022, Mogilev
V. A. Yurevich
Belarussian State University of Food and Chemical Technologies
Belarus
Belarus
Yurevich Vladimir A. – D. Sc. (Physics and Mathematics), Professor
3, Schmidt Ave., 212027, Mogilev
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