Generalized Nyquist formula and quality factor

Viatcheslav V. Belyi

doi:10.1117/12.546306

25 May 2004 Generalized Nyquist formula and quality factor

Viatcheslav V. Belyi

Proceedings Volume 5470, Noise in Devices and Circuits II; (2004) https://doi.org/10.1117/12.546306
Event: Second International Symposium on Fluctuations and Noise, 2004, Maspalomas, Gran Canaria Island, Spain

Abstract

A generalization of the Nyquist formula for an oscillating electrical circuit with slowly varying parameters is given. Using the momentum method and the time multiscale technique, it is shown that not only the dissipation parameter (resistance), but also the time derivatives of the dispersive parameters (inductance and capacity) determine the spectral properties of the noise in the LC -circuit. This additional contribution is characterized by a new non-local dispersive term which is not related to Joule dissipation and which results from an additional phase shift between the force and the response of the system. The influence of the dispersion contributions on the quality factor of the system is discussed.

Citation Download Citation

Viatcheslav V. Belyi "Generalized Nyquist formula and quality factor", Proc. SPIE 5470, Noise in Devices and Circuits II, (25 May 2004); https://doi.org/10.1117/12.546306

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