Whispering gallery mode resonators for frequency metrology applications.

摘要

This dissertation describes an investigation into the use of whispering gallery mode (WGM) resonators for applications towards frequency reference and metrology. Laser stabilization and the measurement of optical frequencies have enabled myriad technologies of both academic and commercial interest. A technology which seems to span both motivations is optical atomic clocks. These devices are virtually unimaginable without the ultra stable lasers plus frequency measurement and down-conversion afforded by Fabry Perot (FP) cavities and model-locked laser combs, respectively. However, WGM resonators can potentially perform both of these tasks while having the distinct advantages of compactness and simplicity. This work represents progress towards understanding and mitigating the performance limitations of WGM cavities for such applications.;A system for laser frequency stabilization to a the cavity via the Pound-Drever-Hall (PDH) method is described. While the laser lock itself is found to perform at the level of several parts in 1015, a variety of fundamental and technical mechanisms destabilize the WGM frequency itself.;Owing to the relatively large thermal expansion coefficients in optical crystals, environmental temperature drifts set the stability limit at time scales greater than the thermal relaxation time of the crystal. Uncompensated, these drifts pull WGM frequencies about 3 orders of magnitude more than they would in an FP cavity. Thus, two temperature compensation schemes are developed. An active scheme measures and stabilizes the mode volume temperature to the level of several nK, reducing the effective temperature coefficient of the resonator to 1.7x10-7 K-1; simulations suggest that the value could eventually be as low as 3.5x10-8 K-1, on par with the aforementioned FP cavities. A second, passive scheme is also described, which employs a heterogeneous resonator structure that capitalizes on the thermo-mechanical properties of one material and the optical properties of another. Calculations show that a temperature coefficient zero-crossing can be achieved, and encouraging initial experimental results are presented.;At shorter time scales, fundamental thermal and technical noise sources define stability limits. The relative strengths of thermorefractive, thermoelastic, and Brownian motion are outlined, along with the level at which they can expect to be observed and some approaches to minimize them. It is shown that variations in the coupling gap pull the frequency at about 10 Hz/nm. A method for calculating frequency noise density caused by laser amplitude fluctuations is presented.;Frequency comb generation in WGM resonators is also discussed. It is shown that cavity dispersion can be engineered through geometric parameters, yielding a microcomb with initial sidebands at 1 FSR from the pump. Such combs are thought to be coherent. Also described is a microcomb generated by a PDH locked pump laser. The resulting microwave beatnote can be changed from noisy to quiet by changing the offset of this lock. An investigation of optical to microwave down-conversion is conducted.