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Proceedings Paper

Nonlinear simulation of ultrastable quartz crystal oscillators in frequency domain
Author(s): Nicholas E. Ratier; Mickaël F. Bruniaux; Rémi G. Brendel
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Paper Abstract

We present a symbolic-numeric method dedicated to the simulation of ultra stable quartz oscillators entirely in the frequency domain including the nonlinear parts of the circuit. The main idea is to replace, by symbolic computation, the nonlinear differential system describing the oscillator by a system of nonlinear equations of Fourier coefficients whose solution is an approximation of the steady-state solution. This paper explains how to face the two main difficulties of this symbolic computation: the processing of nonlinear components and the management of large number of coefficients.

Paper Details

Date Published: 5 March 2008
PDF: 10 pages
Proc. SPIE 7009, Second International Conference on Advanced Optoelectronics and Lasers, 70091E (5 March 2008); doi: 10.1117/12.793882
Show Author Affiliations
Nicholas E. Ratier, Institut FEMTO-ST (France)
Mickaël F. Bruniaux, Institut FEMTO-ST (France)
Rémi G. Brendel, Institut FEMTO-ST (France)

Published in SPIE Proceedings Vol. 7009:
Second International Conference on Advanced Optoelectronics and Lasers

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