This work investigates the effects of system nonlinearities on degenerate parametric amplifiers. A simple, Duffing-type nonlinearity is appended to a representative equation of motion for a mechanical or electromechanical parametric amplifier, and classical perturbation methods are used to characterize the resulting effects on the amplifier’s frequency response and performance. Ultimately, the ...

We study singly-resonant optical parametric oscillators with chirped quasi-phasematching gratings as the gain medium, for which adiabatic optical parametric amplification has the potential to enhance conversion efficiency. This configuration, however, has a modulation instability which must be suppressed in order to yield narrowband output signal pulses. We show that high conversion efficiency ...

Parametric instabilities of importance to laser-plasma interactions in laserfusion experiments are usually analyzed assuming only one laser beam (pump) drives each instability. In actual experiments, however, multiple laser beams may overlap in a localized region of the fusion target corona, where parametric instabillties may be driven by more than one pump. In the simplest case, shown in Fig. ...

We have observed parametric generation and amplification of ultracold atom pairs. A 87Rb Bose-Einstein condensate was loaded into a one-dimensional optical lattice with quasimomentum k0 and spontaneously scattered into two final states with quasimomenta k1 and k2 . Furthermore, when a seed of atoms was first created with quasimomentum k1 we observed parametric amplification of scattered atoms p...

We propose and demonstrate a read-out technique for a superconducting qubit by dispersively coupling it with a Josephson parametric oscillator. We employ a tunable quarter wavelength superconducting resonator and modulate its resonant frequency at twice its value with an amplitude surpassing the threshold for parametric instability. We map the qubit states onto two distinct states of classical ...

According to Burrows et al.’s acoustic mechanism for core-collapse supernova explosions, the primary, l = 1, g-mode in the core of the proton-neutron star is excited to an energy of ∼ 10 ergs and damps by the emission of sound waves. Here we calculate the damping of the primary mode by the parametric instability, i.e., by nonlinear, 3-mode coupling between the low-order primary mode and pairs o...

Strong temporal hysteresis effects in the population kinetics of pumped and scattered lower polaritons (LPs) have been observed in a planar semiconductor microcavity under a nanosecond-long pulsed resonant excitation (by frequency and angle) near the inflection point of the LPs' dispersion. The hysteresis loops have a complicated shape due to the interplay of two instabilities. The self-instabi...

Parametric instability of a standing gravity–capillary wave is observed in conditions irradiation surface liquid by plane ultrasound beam modulated amplitude. A threshold value intensity for excitation the parametric oscillations determined, and frequency response process measured. mechanism based on sound radiation pressure applied to curved with menisci suggested.

The present numerical study aims at shedding light on the mechanism underlying the precessional instability in a sphere. Precessional instabilities in the form of parametric resonance due to topographic coupling have been reported in a spheroidal geometry both analytically and numerically. We show that such parametric resonances can also develop in spherical geometry due to the conical shear la...