Topic
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.
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TL;DR: In this paper, a nonlinear oscillator, which is parametrically driven at a frequency close to twice its eigenfrequency, is studied, where the frequency detuning and linearly increasing the driving amplitude of the oscillator can be used to pre-prepare any even quasi-energy state starting from the ground state.
Abstract: We study a nonlinear oscillator, which is parametrically driven at a frequency close to twice its eigenfrequency By judiciously choosing the frequency detuning and linearly increasing the driving amplitude, one can prepare any even quasienergy state starting from the oscillator ground state Such state preparation is effectively adiabatic We find the Wigner distribution of the prepared states For a different choice of the frequency detuning, the adiabaticity breaks down, which allows one to prepare on demand a superposition of quasienergy states using Landau-Zener-type transitions We find the characteristic spectrum of the transient radiation emitted by the oscillator after it has been prepared in a given quasienergy state
29 citations
TL;DR: The operation of a Ti:sapphire-laser-pumped femtosecond optical parametric oscillator based on the new nonlinear material RbTiOAsO(4) is described and a signal (idler) tuning range over 110 nm (330 nm) is demonstrated with pump tuning.
Abstract: The operation of a Ti:sapphire-laser-pumped femtosecond optical parametric oscillator based on the new nonlinear material RbTiOAsO(4) is described. Oscillation has been observed for pump powers as low as 50 mW, and output powers as high as 185 mW have been measured. With intracavity prisms for dispersion compensation, transformlimited pulses of less than 70-fs duration have been produced. Under noncritical phase matching, a signal (idler) tuning range over 110 nm (330 nm) is demonstrated with pump tuning.
28 citations
TL;DR: In this article, a base-excited slender beam carrying a lumped mass subjected to principal parametric resonance is investigated and the attached mass and its location are so adjusted that the system exhibits 1:3:5 internal resonances.
Abstract: The non-linear response of a base-excited slender beam carrying a lumped mass subjected to principal parametric resonance is investigated. The attached mass and its location are so adjusted that the system exhibits 1:3:5 internal resonances. Method of multiple scales is used to reduce the second-order temporal differential equation to a set of first-order differential equations which is then solved numerically to obtain the steady-state response and stability of the system. The steady-state response thus obtained is compared with those found by single- and two-mode analyses and very significant differences are observed in the bifurcation and stability of the response curves. The effects of external and internal detuning, amplitude of excitation and damping on the non-linear steady state, periodic, quasi-periodic and chaotic responses of the system are investigated. Funnel-shaped chaotic orbits, fractal orbits, cascade of period-doubling, torus doubling and intermittency routes to chaos are observed in this system. A simple illustration is given to control chaos by changing the system parameters.
28 citations
TL;DR: In this paper, the authors achieved parametric oscillation in LiNbO3 from 0.684 μ to 2.355 μ − 70% of the theoretical range of the oscillator.
Abstract: With an optical cavity formed by external mirrors, parametric oscillation in LiNbO3 has been achieved from 0.684 μ to 2.355 μ − 70% of the theoretical range of the oscillator. The oscillator, pumped at 0.53 μ, was tuned by rotation of the LiNbO3 crystal. Total output powers of about 50 W were observed with pump powers of 5 × 104 W. The logarithm of the output power is proportional to the reciprocal of the optical length of the cavity.
28 citations
04 Dec 2013
TL;DR: In this article, a vacuum packaged MEMS electrostatic harvester (0.278 mm3) exhibited 4 and 5 parametric resonance peaks at room pressure and vacuum respectively when scanned up to 10 g.
Abstract: The mechanical amplification effect of parametric resonance has the potential to outperform direct resonance by over an order of magnitude in terms of power output. However, the excitation must first overcome the damping-dependent initiation threshold amplitude prior to accessing this more profitable region. In addition to activating the principal (1st order) parametric resonance at twice the natural frequency ?0, higher orders of parametric resonance may be accessed when the excitation frequency is in the vicinity of 2?0/n for integer n. Together with the passive design approaches previously developed to reduce the initiation threshold to access the principal parametric resonance, vacuum packaging (< 10 torr) is employed to further reduce the threshold and unveil the higher orders. A vacuum packaged MEMS electrostatic harvester (0.278 mm3) exhibited 4 and 5 parametric resonance peaks at room pressure and vacuum respectively when scanned up to 10 g. At 5.1 ms?2, a peak power output of 20.8 nW and 166 nW is recorded for direct and principal parametric resonance respectively at atmospheric pressure; while a peak power output of 60.9 nW and 324 nW is observed for the respective resonant peaks in vacuum. Additionally, unlike direct resonance, the operational frequency bandwidth of parametric resonance broadens with lower damping.
28 citations