Supplemental Document
Brillouin backaction thermometry for modal
temperature control: supplement
Y
U
-H
UNG
L
AI
,
†
Z
HIQUAN
Y
UAN
,
†
M
YOUNG
-G
YUN
S
UH
,
Y
U
-K
UN
L
U
,
H
EMING
W
ANG
,
AND
K
ERRY
J. V
AHALA
∗
T. J. Watson Laboratory of Applied Physics, California Institute of Technology, Pasadena, California 91125,
USA
∗
Corresponding author:
vahala@caltech.edu
†
These authors contributed equally to this paper.
This supplement published with Optica Publishing Group on 24 June 2022 by The Authors under
the terms of the Creative Commons Attribution 4.0 License in the format provided by the authors
and unedited. Further distribution of this work must maintain attribution to the author(s) and the
published article’s title, journal citation, and DOI.
Supplement DOI: https://doi.org/10.6084/m9.figshare.19967975
Parent Article DOI: https://doi.org/10.1364/OPTICA.459082
Brillouin Backaction Thermometry for
Modal Temperature Control:
supplemental document
This supplement provides details about the theoretical analyses presented in the main text.
Below we derive the temperature dependence of the frequency shift in SBL1 (see main text)
induced by power-dithering of the cascaded SBL. In the cavity-mode rotating frame, we write the
pump, SBL, and cascaded SBL in the following form,
̇
A
=
h
i