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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.


Papers
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Journal ArticleDOI
TL;DR: Self-induced parametric amplification is introduced, which arises naturally from nonlinear elastic coupling between the degenerate vibration modes in a micromechanical disk-resonator, and is not externally applied and is useful for both fundamental studies of dynamic systems with low dissipation and for increasing signal-to-noise ratio in practical applications such as gyroscopes.
Abstract: Parametric amplification, resulting from intentionally varying a parameter in a resonator at twice its resonant frequency, has been successfully employed to increase the sensitivity of many micro- and nano-scale sensors. Here, we introduce the concept of self-induced parametric amplification, which arises naturally from nonlinear elastic coupling between the degenerate vibration modes in a micromechanical disk-resonator, and is not externally applied. The device functions as a gyroscope wherein angular rotation is detected from Coriolis coupling of elastic vibration energy from a driven vibration mode into a second degenerate sensing mode. While nonlinear elasticity in silicon resonators is extremely weak, in this high quality-factor device, ppm-level nonlinear elastic effects result in an order-of-magnitude increase in the observed sensitivity to Coriolis force relative to linear theory. Perfect degeneracy of the primary and secondary vibration modes is achieved through electrostatic frequency tuning, which also enables the phase and frequency of the parametric coupling to be varied, and we show that the resulting phase and frequency dependence of the amplification follow the theory of parametric resonance. We expect that this phenomenon will be useful for both fundamental studies of dynamic systems with low dissipation and for increasing signal-to-noise ratio in practical applications such as gyroscopes.

93 citations

Patent
Tung-Ming Su1
22 Jun 2003
TL;DR: In this article, a passive harmonic switch mixer is proposed that is immune to self mixing of the local oscillator greatly reducing leakage noise, pulling noise, and flicker noise when used in a direct conversion receiver or direct conversion transmitter circuit.
Abstract: A passive harmonic switch mixer is shown that is immune to self mixing of the local oscillator greatly reducing leakage noise, pulling noise, and flicker noise when used in a direct conversion receiver or direct conversion transmitter circuit. The passive harmonic switch mixermixes an input signal received on an input port with an in-phase oscillator signal and a quadrature-phase oscillator signal and outputs an output signal on an output port. Because the quadrature-phase oscillator signal is the in-phase oscillator signal phase shifted by 90 °, the passive harmonic switch mixer operates with a local oscillator running at half the frequency of the carrier frequency of an RF signal. Additionally, because the passive harmonic switch mixer has no active components, the DC current passing through each switch device is reduced and the associated flicker noise of the mixer is also greatly reduced.

92 citations

Journal ArticleDOI
TL;DR: In this article, the theory of the optical parametric oscillator is examined and compared to the experiment in the regime of far below threshold, and it is found that the output state has no difference from spontaneous parametric downconversion except that the bandwidth of down-conversion is reduced to that of the resonator and the conversion rate is enhanced by cavity resonance.
Abstract: The theory of the optical parametric oscillator is examined and compared to the experiment in the regime of far below threshold. It is found that the output state has no difference from spontaneous parametric down-conversion except that the bandwidth of down-conversion is reduced to that of the resonator and the conversion rate is enhanced by cavity resonance. The reduction of the bandwidth of the down-converted fields makes it possible for a direct measurement of the time interval distribution between two down-converted photons. The observed distributions are well explained by the theory. Such a narrow-band two-photon source will find wide applications in quantum information processing.

92 citations

Journal ArticleDOI
TL;DR: In this article, the problem of photon generation inside an ideal 3D cavity with resonantly vibrating walls is studied, and the possibility of creating from a vacuum up to 104 photons in a cavity with a Q-factor of about 3 × 1010 is predicted.

92 citations

Journal ArticleDOI
TL;DR: Spectral measurement reveals that the singly resonant optical parametric oscillator operates consistently in a singleAxial mode with much relaxed axial mode hop tolerance to cavity length and pump-frequency fluctuations compared with doubly resonants optical parametry oscillators previously demonstrated.
Abstract: We report what is to our knowledge the first demonstration of a continuous-wave singly resonant optical parametric oscillator based on potassium titanyl phosphate. The pump source used is a single-frequency resonantly doubled Nd:YAG laser. By double passing the pump through the crystal, we achieved a minimum oscillation threshold of 1.4 W. With 3.2 W of incident pump power, a maximum 1.07 W of nonresonant idler power was generated. Spectral measurement reveals that the singly resonant optical parametric oscillator operates consistently in a single axial mode with much relaxed axial mode hop tolerance to cavity length and pump-frequency fluctuations compared with doubly resonant optical parametric oscillators previously demonstrated.

92 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202366
2022133
2021123
2020139
2019145
2018135