Some General Properties of Nonlinear Elements-Part I. General Energy Relations

Manley, J. M.; Rowe, Harrison E.

doi:10.1109/jrproc.1956.275145

Cited by 618 publications

(137 citation statements)

References 8 publications

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“…Finally, the process is power conserving, so ∑ α P α (z) = P total . Because of these facts, all the powers are related to each other, and can thus be described by only one variable according to the Manley-Rowe relations [18,19]. This variable, F, is chosen to be the power of the idler which is assumed zero at z = 0, i.e.…”

Section: Theorymentioning

confidence: 99%

Full and semi-analytic analyses of two-pump parametric amplification with pump depletion

et al. 2011

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Section: Theorymentioning

confidence: 99%

Full and semi-analytic analyses of two-pump parametric amplification with pump depletion

et al. 2011

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“…The basic equations describing the parametric converter are the Manley-Rowe relations 7,8 . They are a set of power conservation relations that are extremely useful in evaluating the performance of a parametric device.…”

Section: Basic Principles Of Parametric Power Conversionmentioning

confidence: 99%

A detector of small harmonic displacements based on two coupled microwave cavities

Bernard

Gemme

Parodi

et al. 2001

Review of Scientific Instruments

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The design and test of a detector of small harmonic displacements is presented. The detector is based on the principle of the parametric conversion of power between the resonant modes of two superconducting coupled microwave cavities. The work is based on the original ideas of Bernard, Pegoraro, Picasso and Radicati, who, in 1978, suggested that superconducting coupled cavities could be used as sensitive detectors of gravitational waves, and on the work of Reece, Reiner and Melissinos, who, in 1984, built a detector of this kind. They showed that an harmonic modulation of the cavity length ℓ produced an energy transfer between two modes of the cavity, provided that the frequency of the modulation was equal to the frequency difference of the two modes. They achieved a sensitivity to fractional deformations of δℓ/ℓ ≈ 10 −17 Hz −1/2 . We repeated the Reece, Reiner and Melissinos experiment, and with an improved experimental configuration and better cavity quality, increased the sensitivity to δℓ/ℓ ≈ 10 −20 Hz −1/2 . In this paper the basic principles of the device are discussed and the experimental technique is explained in detail. Possible future developments, aiming at gravitational waves detection, are also outlined.

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“…21 By increasing the pump wave power, the parametric decay instability may produce electrostatic ion cyclotron waves (EICW). These waves, (J)=(J) 1 , follow the dispersion 22 has been applied to electron plasma waves by several authors 2 J-26 for a dipole pump approximation, ko = 0, and some finite pump effects. 26 From Wong,…”

Section: Wave Theorymentioning

confidence: 99%

The transport of ions in a turbulent plasma

McWilliams

Okubo

Wolf

1990

Physics of Fluids B: Plasma Physics

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Direct, experimental results show cross-field majority species ion transport which is linearly proportional to electrostatic fluctuation levels. Laser-induced fluorescence was used to tag ions within a plasma. The ion diffusive and convective motion could be observed. In a quiet plasma the ion cross-field diJfusion agreed with classical predictions. A controlled level of electrostatic turbulence was then introduced into the plasma. The resulting increase in cross-field diffusion was consistent with D 1 -:::::4(cT~/eB) (8n;lnKJ ).

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Some General Properties of Nonlinear Elements-Part I. General Energy Relations

Cited by 618 publications

References 8 publications

Full and semi-analytic analyses of two-pump parametric amplification with pump depletion

Full and semi-analytic analyses of two-pump parametric amplification with pump depletion

A detector of small harmonic displacements based on two coupled microwave cavities

The transport of ions in a turbulent plasma

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