Nonlinear simulation of ultrastable quartz crystal oscillators in frequency domain

Nicholas E. Ratier; Mickaël F. Bruniaux; Rémi G. Brendel

doi:10.1117/12.793882

5 March 2008 Nonlinear simulation of ultrastable quartz crystal oscillators in frequency domain

Nicholas E. Ratier, Mickaël F. Bruniaux, Rémi G. Brendel

Proceedings Volume 7009, Second International Conference on Advanced Optoelectronics and Lasers; 70091E (2008) https://doi.org/10.1117/12.793882
Event: Second International Conference on Advanced Optoelectronics and Lasers, 2005, Yalta, Ukraine

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.

Citation Download Citation

Nicholas E. Ratier, Mickaël F. Bruniaux, and Rémi G. Brendel "Nonlinear simulation of ultrastable quartz crystal oscillators in frequency domain", Proc. SPIE 7009, Second International Conference on Advanced Optoelectronics and Lasers, 70091E (5 March 2008); https://doi.org/10.1117/12.793882

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