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Pisma v Zhurnal Tekhnicheskoi Fiziki, 2024 Volume 50, Issue 2, Pages 32–35 (Mi pjtf6591)

Self-generation of dark and bright envelope pulses in bidirectionally coupled Vyshkind–Rabinovich parametric oscillators

P. S. Komkov, O. I. Moskalenko, S. V. Grishin

Saratov State University

Abstract: 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.

Received: 27.06.2023
Revised: 27.10.2023
Accepted: 31.10.2023

DOI: 10.61011/PJTF.2024.02.56981.19668



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© Steklov Math. Inst. of RAS, 2025