Self-Generation of Dark and Bright Envelope Pulses in Bidirectionally Coupled Vyshkind-Rabinovich Parametric Oscillators
Komkov P. S.1, Moskalenko O. I. 1, Grishin S. V. 1
1Saratov State University, Saratov, Russia
Email: k-pavlik-k@mail.ru, o.i.moskalenko@gmail.com, sergrsh@yandex.ru

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The generation modes of dark and bright envelope pulses are obtained in the system of two bidirectionally coupled Vyshkind-Rabinovich parametric oscillators. Each oscillator describes the temporal dynamics of a quadratic medium with inertialess amplification at a given point in space. Oscillations of an unstable wave amplify linearly, while oscillations of parametrically excited waves attenuate in a linear approximation. It is shown that a sequence of dark envelope pulses is formed on an unstable wave and is parametrically coupled with a sequence of bright envelope pulses generated on parametrically excited waves only at certain values of the bidirectional coupling. Keywords: parametric instability, coupled parametric oscillators, dark and bright pulses.
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