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Spatio-temporal dynamics of waves propagating in resonators in opposite directions is investigated for media with anomalous dispersion. Numerical experiments demonstrated that stationary sources may exist during interaction of the counterpropagating waves in media, where group and phase velocities have opposite signs. We have found regimes when additional spatial periods referred to as "phase slipping" are formed periodically in time in the counterpropagating waves against the background of source.
A. Nazarovsky,A. B. Ezersky, andI. Mutabazi
"Localized sources in the system of coupled Ginzburg-Landau equations describing wave patterns in resonators", Proc. SPIE 5975, Topical Problems of Nonlinear Wave Physics, 59750Y (3 February 2006); https://doi.org/10.1117/12.675578
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A. Nazarovsky, A. B. Ezersky, I. Mutabazi, "Localized sources in the system of coupled Ginzburg-Landau equations describing wave patterns in resonators," Proc. SPIE 5975, Topical Problems of Nonlinear Wave Physics, 59750Y (3 February 2006); https://doi.org/10.1117/12.675578