Abstract

An optical technique based on stability transfer among modes of a monolithic optical microresonator is proposed for long term frequency stabilization of a radio frequency (RF) oscillator. We show that locking the frequency difference of two microresonator modes with dissimilar sensitivity to an applied forcing function to a master RF oscillator improves the long term stability of a slave RF oscillator locked to the frequency difference of another pair of modes with nearly identical sensitivity to the same forcing function. For instance, the stability of a $10\mathrm{MHz}$ master oscillator with Allan deviation of ${10}^{-7}$ at ${10}^3\mathrm{s}$ can be improved and transferred to a slave oscillator with identical free running stability performance, so that the resultant Allan deviation of the slave oscillator becomes equal to ${10}^{-13}$ at ${10}^3\mathrm{s}$. The suggested method does not require absolute frequency references.

© 2011 Optical Society of America

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