Angular instability due to radiation pressure in the LIGO gravitational wave detector
Eiichi Hirose, Keita Kawabe, Daniel Sigg, Rana Adhikari, and Peter R., Saulson

TL;DR
This paper reports the first measurement of radiation pressure-induced angular instability in a complete LIGO interferometer, highlighting the impact on the angular control system and validating a mathematical model of the system dynamics.
Contribution
It provides the first experimental observation of radiation pressure effects on LIGO's angular control, supported by a validated mathematical model.
Findings
Radiation pressure affects the angular modes of LIGO's optics.
One angular mode remains active under feedback control.
The developed model accurately predicts observed dynamics.
Abstract
We observed the effect of radiation pressure on the angular sensing and control system of the Laser Interferometer Gravitational-Wave Observatory (LIGO) interferometer's core optics at LIGO Hanford Observatory. This is the first measurement of this effect in a complete gravitational wave interferometer. Only one of the two angular modes survives with feedback control, since the other mode is suppressed when the control gain is sufficiently large. We developed a mathematical model to understand the physics of the system. This model matches well the dynamics that we observe.
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