Ultrabroadband and sensitive cavity
optomechanical magnetometry
BEI-BEI LI,
1
GEORGE BRAWLEY,
2
HAMISH GREENALL,
2
STEFAN FORSTNER,
2
EOIN SHERIDAN,
2
HALINA RUBINSZTEIN-DUNLOP,
2
AND WARWICK P. B OWEN
2,
*
1
Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
2
School of Mathematics and Physics, The University of Queensland, St Lucia, QLD 4072, Australia
*Corresponding author: w.bowen@uq.edu.au
Received 11 February 2020; revised 7 April 2020; accepted 10 April 2020; posted 10 April 2020 (Doc. ID 390261); published 3 June 2020
Magnetostrictive optomechanical cavities provide a new optical readout approach to room-temperature magne-
tometry. Here we report ultrasensitive and ultrahigh bandwidth cavity optomechanical magnetometers con-
structed by embedding a grain of the magnetostrictive material Terfenol-D within a high quality (Q) optical
microcavity on a silicon chip. By engineering their physical structure, we achieve a peak sensitivity of
26 pT∕
Hz
p
comparable to the best cryogenic microscale magnetometers, along with a 3 dB bandwidth as high
as 11.3 MHz. Two classes of magnetic response are observed, which we postulate arise from the crystallinity of the
Terfenol-D. This allows single crystalline and polycrystalline grains to be distinguished at the level of a single
particle. Our results may enable applications such as lab-on-chip nuclear magnetic spectroscopy and magnetic
navigation.
© 2020 Chinese Laser Press
https://doi.org/10.1364/PRJ.390261
1. INTRODUCTION
The resonant enhancement of both optical and mechanical
response in a cavity optomechanical system [1,2] has enabled
precision sensors [3] of displacement [4,5], force [6], mass [7],
acceleration [8,9], ultrasound [10], and magnetic fields [11–17].
Cavity optomechanical magnetometers are particularly attrac-
tive, promising state-of-the-art sensitivity without the need
for cryogenics, with only microwatt power consumption
[11–13,15–17], and with silicon chip-based fabrication offering
scalability [16]. For instance, cavity optomechanical magnetom-
eters working in the megahertz frequency range have been dem-
onstrated by using a magnetostrictive material Terfenol-D,
either manually deposited onto a microcavity [11,12,15] with
a reported peak sensitivity of 200 pT∕
ffiffiffiffiffiffi
Hz
p
[12], or sputter
coated onto the microcavity with a reported peak sensitivity
of 585 pT∕
ffiffiffiffiffiffi
Hz
p
[16]. Efforts have also been made to improve
the sensitivity in the hertz-to-kilohertz frequency range, which is
relevant to many applications. The nonlinearity inherent in
magnetostrictive materials has been used to mix the low fre-
quency signals up to high frequency [12]; a peak sensitivity
of 131 pT∕
ffiffiffiffiffiffi
Hz
p
has been reported in the 100 kHz range using
a centimeter-sized CaF
2
cavity with a cylinder of Terfenol-D
crystal embedded inside [13]; and polymer coated microcavities
have been combined with millimeter-sized magnets to provide a
sensitivity of 880 pT∕
ffiffiffiffiffiffi
Hz
p
at 200 Hz [17]. Resonant magnon
assisted optomechanical magnetometers have recently been real-
ized, achieving a sensitivity of 103 pT∕
ffiffiffiffiffiffi
Hz
p
in the gigahertz
(GHz) frequency range [18], while torque magnetometers have
also been demonstrated using nanomechanical systems for
magnetization measurement [19,20]. With all of this recent
progress, however, the sensitivity of the best optomechanical
magnetometers remains around an order of magnitude inferior
to similarly sized cryogenic magnetometers [21–23].
This paper focuses on optimizing the sensitivity of magne-
tostrictive optomechanical magnetometers. We find that the
sensitivity depends critically on the shape of the support that
suspends the magnetometer above the silicon chip. This sup-
port both constrains the magnetostriction-induced mechanical
motion and provides an avenue for thermal fluctuations to
enter the system. By engineering its structure to increase both
its compliance and the mechanical quality factor of the
device, we demonstrate around an order of magnitude im-
provement in sensitivity compared to previous works, to
26 pT∕
ffiffiffiffiffiffi
Hz
p
. This is comparable to the similarly sized cryo-
genic magnetometers [21–23].
The magnetic response as a function of magnetic field fre-
quency is found to show two significantly different behaviors: a
relatively smooth resp onse modulated by the mechanical reso-
nances of the structure and a response that exhibits dramatic
variations as a function of frequency, with these variations oc-
curring under the envelope of the mechanical resonances. We
refer to these two behaviors as Type I and Type II, respectively.
The magnetic response of the Type II devices is observed to be
highly sensitive to direct current (DC) magnetic fields. We find
1064
Vol. 8, No. 7 / July 2020 / Photonics Research
Research Article
2327-9125/20/071064-08 Journal © 2020 Chinese Laser Press