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Analysis of an inverse weak-value tiltmeter in the kilohertz regime

Abstract

We present a follow-on experiment to the recent study from The University of Rochester [Opt. Lett. 42, 2479 (2017) [CrossRef]  ], which reported a new architecture for an inverse weak-value tiltmeter. We recreate the Rochester tiltmeter and specifically investigate mirror oscillations in the low-kilohertz frequency regime, which is relevant to certain potential applications, such as Coriolis vibratory gyroscopes. We find that the inverse weak-value amplification effect persists in this regime, although our measured noise floors are higher than those obtained in the Rochester experiment—approximately $2 \;{\rm prad}/\sqrt {{\rm Hz}}$ for mirror oscillation frequencies between 1 and 25 kHz.

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Data availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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