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, an all-optical limiting amplifier that is capable of reducing amplitude fluctuations in 20 Gbit/s data packets is presented, based on a gain flattened two-stage fibre parametric amplifier having a record bandwidth of 15 nm.
Abstract: An all-optical limiting amplifier that is capable of reducing amplitude fluctuations in 20 Gbit/s data packets is presented. The limiting amplifier is based on a gain flattened two-stage fibre parametric amplifier having a record bandwidth of 15 nm.
42 citations
TL;DR: In this paper, two equivalent linear invariants and two equivalent quadratic invariants are obtained for a harmonic oscillator with variable mass or with variable frequency for damped oscillators.
Abstract: Two equivalent families of linear invariants and two equivalent families of quadratic invariants are obtained for a harmonic oscillator with variable mass or with variable frequency. Explicit formulae are obtained for the linear and quadratic invariants in the case of a damped oscillator and the Hamiltonian is seen as a special quadratic invariant.
42 citations
TL;DR: The possibility of frequency conversion by operation of a similar pulsed parametric oscillator away from degeneracy is suggested and the output signal pulses exhibit improved spectral symmetry and a reduced time-bandwidth product compared with the pump pulses.
Abstract: We report operation of an all-fiber degenerate optical parametric oscillator that employs a nonlinear-fiber Sagnac interferometer as a parametric amplifier. Synchronous pumping with 3.9-ps pulses at 1544 nm yields 0.83-ps output pulses. The wide bandwidth of the fiber parametric amplifier causes the oscillator to act as a pulse compressor. The output signal pulses exhibit improved spectral symmetry and a reduced time-bandwidth product compared with the pump pulses. Currently, the net group-velocity dispersion in the passive section of the fiber cavity limits the signal-pulse bandwidth and hence the minimum-obtainable pulse width. This experiment suggests the possibility of frequency conversion by operation of a similar pulsed parametric oscillator away from degeneracy.
42 citations
TL;DR: In this paper, the authors developed a theory of critical quantum fluctuations in the driven parametric oscillator, and compared the results obtained in the positive-P representation, as a fully quantum-mechanical calculation, with the truncated Wigner phase-space equation, also known as the semiclassical theory.
Abstract: We develop a systematic theory of critical quantum fluctuations in the driven parametric oscillator. Our analytic results agree well with stochastic numerical simulations. We also compare the results obtained in the positive-P representation, as a fully quantum-mechanical calculation, with the truncated Wigner phase-space equation, also known as the semiclassical theory. We show when these results agree and differ in calculations taken beyond the linearized approximation. We find that the optimal broadband noise reduction occurs just above threshold. In this region where there are large quantum fluctuations in the conjugate variance and macroscopic quantum superposition states might be expected, we find that the quantum predictions correspond very closely to the semiclassical theory.
42 citations
TL;DR: He's frequency-amplitude formulation is used to solve the Duffing harmonic oscillator problem and the result obtained is valid for the whole solution domain with high accuracy.
Abstract: He's frequency-amplitude formulation is used to solve the Duffing harmonic oscillator problem The solution procedure is simple, and the result obtained is valid for the whole solution domain with high accuracy
42 citations