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.