Some General Properties of Nonlinear Elements. II. Small Signal Theory

Rowe, Harrison E.

doi:10.1109/jrproc.1958.286938

Cited by 107 publications

(27 citation statements)

References 9 publications

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“…The simplest case of such an instability is the three wave coupling in which a pump wave with the frequency f 0 excites two waves with the frequency f 1 and f 2 . According to the Manley-Rowe relations [14,15], the frequency and wavenumber matching conditions must be fulfilled: Figure 2a shows frequency spectra obtained in a helium discharge. The incident microwave at f 0 = 2.45 GHz can be clearly identified.…”

Section: Heating At the Upper-hybrid Resonancementioning

confidence: 99%

Schemes of microwave heating of overdense plasmas in the stellarator TJ-K

Köhn

Birkenmeier

Chusov

et al. 2012

Plasma Phys. Control. Fusion

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Abstract. Microwave heating of overdense low-temperature plasmas, whose density exceeds the cutoff density of the injected microwave, is described for the stellarator TJ-K. Three different methods featuring each their own characteristics are briefly presented. It is shown that TJ-K allows both fusion relevant scenarios like heating by electron Bernstein waves and fundamental wave-plasma interactions like parametric decay instabilities to be investigated.

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Section: Heating At the Upper-hybrid Resonancementioning

confidence: 99%

Schemes of microwave heating of overdense plasmas in the stellarator TJ-K

Köhn

Birkenmeier

Chusov

et al. 2012

Plasma Phys. Control. Fusion

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“…The time-varying capacitor is terminated in an ideal filter, such that signal voltages at only the three frequencies , , and are allowed to exist. The noninverting case is of particular importance, since it can be proven [10] that the device is stable and yields maximum gain with a matched source and load impedance. Under matched conditions, the power gain is equal to the ratio of output to input frequencies as determined by the equations above.…”

Section: B Gain Bandwidth and Stability Of Parametric Amplifier/upmentioning

confidence: 99%

A novel parametric-effect MEMS amplifier

Raskin

Brown²,

Khuri-Yakub³

et al. 2000

J. Microelectromech. Syst.

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This paper presents the theory and measurements of a mechanical parametric-effect amplifier with a 200-kHz input signal and a 1.84-MHz output signal. The device used is a MEMS time-varying capacitor which is composed of an array of low-stress metallized silicon-nitride diaphragms, and is pumped by a largesignal voltage at 1.64 MHz. This induces a large change in the capacitance, and results in parametric amplification of an input signal at 200 kHz. The parametric amplifier capacitance is 500 pF, resulting in an output impedance of 140 . A higher impedance can also be achieved with a lower capacitance. To our knowledge, this device is the first-ever MEMS mechanical up-converter parametric-effect amplifier developed with an up-conversion ratio of 9 : 1. The measurements agree very well with theory, including the effect the series resistance and the of the MEMS time-varying capacitor. The application areas are in amplifiers which operate at very high temperatures (200 C-600 C), under high particle bombardment (nuclear applications), in non-semiconductor-based amplification, and in low-noise systems, since parametric amplifiers do not suffer from thermal, shot, or 1/f noise problems.[571]

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“…The conditions are that K 0 , B 1 and B 2 are assumed to be the same with or without sum-frequency propagation, and B 3 is greater than B 2 .…”

Section: Figure 1 Junction Capacitance Versus Bias Voltagementioning

confidence: 99%