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Proceedings Paper

Generalized Nyquist formula and quality factor
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Paper 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.

Paper Details

Date Published: 25 May 2004
PDF: 6 pages
Proc. SPIE 5470, Noise in Devices and Circuits II, (25 May 2004); doi: 10.1117/12.546306
Show Author Affiliations
Viatcheslav V. Belyi, Institute of Terrestrial Magnetism, Ionosphere and Radiowave Propagation (Russia)


Published in SPIE Proceedings Vol. 5470:
Noise in Devices and Circuits II
Francois Danneville; Fabrizio Bonani; M. Jamal Deen; Michael E. Levinshtein, Editor(s)

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