Parametric oscillator

About: Parametric oscillator is a research topic. Over the lifetime, 5836 publications have been published within this topic receiving 95631 citations. The topic is also known as: Parametric excitation.

Competing Turing and Faraday Instabilities in Longitudinally Modulated Passive Resonators.

Abstract: We experimentally investigate the interplay of Turing (modulational) and Faraday (parametric) instabilities in a bistable passive nonlinear resonator. The Faraday branch is induced via parametric resonance owing to a periodic modulation of the resonator dispersion. We show that the bistable switching dynamics is dramatically affected by the competition between the two instability mechanisms, which dictates two completely novel scenarios. At low detunings from resonance, switching occurs between the stable stationary lower branch and the Faraday-unstable upper branch, whereas at high detunings we observe the crossover between the Turing and Faraday periodic structures. The results are well explained in terms of the universal Lugiato-Lefever model.

Internal optical parametric oscillation

Abstract: The theory of optical parametric oscillation internal to the laser cavity is extended to include the dynamics of the population inversion of the laser medium, thus generalizing it to include all laser-oscillator systems. The equations of motion of the oscillator-laser system are solved by digital computer for the case of a Q -switched Nd:YAG laser with a LiNbO 3 parametric oscillator inside the laser cavity. It is found that this internal optical parametric oscillator operates in a spiking regime, with one or more oscillator pulses per pump pulse. The oscillator pulses inside the nonlinear crystal are often more intense than the laser pulse that would have existed in the absence of parametric oscillation. Oscillator pulse lengths are much shorter than the laser pulse length, with oscillator pulse lengths of typically 5-10 ns compared to laser pulse lengths of 200 ns. The repetition rate of the oscillator pulses is pump-power dependent, with the pulses occurring more frequently as the laser field increases. The theoretical results are compared with experiment, and the analysis is found to provide a good qualitative description of the Q -switched parametric oscillator.

Design and characterization of a lumped element single-ended superconducting microwave parametric amplifier with on-chip flux bias line

Abstract: We demonstrate a lumped-element Josephson parametric amplifier, using a single-ended design that includes an on-chip, high-bandwidth flux bias line. The amplifier can be pumped into its region of parametric gain through either the input port or through the flux bias line. Broadband amplification is achieved at a tunable frequency $\omega/2 \pi$ between 5 to 7 GHz with quantum-limited noise performance, a gain-bandwidth product greater than 500 MHz, and an input saturation power in excess of -120 dBm. The bias line allows fast frequency tuning of the amplifier, with variations of hundreds of MHz over time scales shorter than 10 ns.

On a model of a harmonic oscillator coupled to a quantized massless, scalar field. II

Abstract: In terms of the resonance pole of the S matrix, which is also a complex pole associated with the 2‐point function for the harmonic oscillator, a rigorous mathematical interpretation is given to the formal perturbation calculation for the ’’level shifts’’ (the Lamb shifts in QED) of the harmonic oscillator atom and for the ’’decay probabilities’’ of the excited states due to the spontaneous emission of bosons.