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)OPLEDP0146-959210.1364/OL.42.002479], 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 p r a d / H z for mirror oscillation frequencies between 1 and 25 kHz.