Frequency-modulated enhancement of microwave resonator sensing
Pranaya Kishore Rath, James D. Philips, Taekwan Yoon, Kent R. Shirer, Arash Fereidouni, and Johannes Pollanen

TL;DR
This paper demonstrates that the Pound-Drever-Hall technique improves the frequency stability of microwave resonator sensors by reducing noise and background effects compared to traditional phase-locked loop methods.
Contribution
It introduces the application of PDH to microwave resonators, showing enhanced stability and noise rejection over standard PLL techniques.
Findings
PDH exhibits up to ten times lower Allan deviation than PLL.
PDH is insensitive to phase errors and background frequency drift.
The method enhances measurement stability in microwave resonator sensors.
Abstract
We use the Pound-Drever-Hall (PDH) technique to characterize the frequency stability of a microwave-frequency surface acoustic wave (SAW) resonator-based sensor. The multi-mode acoustic resonator is integrated in a notch geometry with a transmission line, all fabricated on Y-cut lithium niobate. We measure the amplitude and phase of the resonator transfer function and the PDH signal across the resonator full spectral range. We use these measurements to emphasize the differences between the PDH measurement and a standard Phase-Locked Loop (PLL) technique. As compared to a PLL, we demonstrate that PDH is insensitive to phase error and exhibits a reduced Allan deviation of the center frequency measurement, in each case by up to an order of magnitude. The method rejects spurious effects and background frequency drift, demonstrating the enhancements possible with PDH-based measurements,…
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