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: A novel system, called the oscillator system, consisting of order of p3 functions on the finite field Fp, with p an odd prime, is described and studied and the new functions are proved to satisfy good autocorrelation, cross-correlation, and low peak-to- average power ratio properties.
Abstract: A novel system, called the oscillator system, consisting of order of p3 functions (signals) on the finite field Fp, with p an odd prime, is described and studied. The new functions are proved to satisfy good autocorrelation, cross-correlation, and low peak-to- average power ratio properties. Moreover, the oscillator system is closed under the operation of discrete Fourier transform. Applications of the oscillator system for discrete radar and digital communication theory are explained. Finally, an explicit algorithm to construct the oscillator system is presented.
48 citations
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TL;DR: In this paper, a 1 kHz Ti:sapphire femtosecond regenerative amplifier system was used to pump a lithium triborate optical parametric generator in a type II noncritical phase matching configuration and a β‐barium borate parametric amplifier.
Abstract: A 1 kHz Ti:sapphire femtosecond regenerative amplifier system is used to pump a lithium triborate optical parametric generator in a type II noncritical phase matching configuration and a β‐barium borate parametric amplifier. Infrared pulses near 1460 nm as short as 50 fs are achieved with a pulse duration/bandwidth product of only 0.44.
48 citations
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TL;DR: In this article, a simple physical picture of light beams generated by the degenerate optical parametric oscillator operating below threshold is analyzed in terms of photoelectron counting sequences, and the dependence of these distributions on mean photon number inside the cavity and efficiency of detection is studied.
Abstract: Nonclassical light beams generated by the degenerate optical parametric oscillator operating below threshold are analyzed in terms of photoelectron-counting sequences. The positive-P representation is used to calculate the generating function for photoelectron statistics in a closed form. This generating function is used to derive expressions for the photoelectron-counting and waiting-time distributions. The dependence of these distributions on mean photon number inside the cavity and efficiency of detection is studied. The relationship between photoelectron-counting sequence and the photon emission sequence is used to present a simple physical picture of light beams produced by the degenerate parametric oscillator.
47 citations
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TL;DR: In this article, a Hamiltonian model with two-photon interaction with a two-level atom and a degenerate parametric amplifier is considered, and an exact solution of the wave function in the Schrodinger picture is obtained.
47 citations
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TL;DR: In this article, the authors studied the parametric excitation of an elevated water tower experiencing sloshing hydro-dynamic impact using the multiple scales method and modeled the impact loads based on a phenomenological representation in the form of a power function with a higher exponent.
Abstract: The parametric excitation of an elevated water tower experiencing sloshing hydro-dynamic impact is studied using the multiple scales method. The liquid sloshing mass is replaced by a mechanical model in the form of a simple pendulum experiencing impacts with the tank walls. The impact loads are modeled based on a phenomenological representation in the form of a power function with a higher exponent. In this case the system equations of motion include impact nonlinearities (selected to be of fifth power) and cubic structural geometric nonlinearities. When the first mode is parametrically excited the system exhibits hard nonlinear behavior and the impact loading reduced the response amplitude. On the other hand, when the second mode is parametrically excited, the impact loading results in complex response behavior characterized by multiple steady state solutions, where the response switches from soft to hard nonlinear characteristics. Under combined parametric resonance, the system possesses a single steady-state response in the absence and in the presence of impact. However, the system behaves like a soft system in the absence of impact and like a hard system in the presence of impact.
47 citations