Angular control of optical cavities in a radiation-pressure-dominated regime: the Enhanced LIGO case

Katherine L. Dooley; Lisa Barsotti; Rana X. Adhikari; Matthew Evans; Tobin T. Fricke; Peter Fritschel; Valera Frolov; Keita Kawabe; Nicolás Smith-Lefebvre

doi:10.1364/JOSAA.30.002618

Journal of the Optical Society of America A
Vol. 30,
Issue 12,
pp. 2618-2626
(2013)
•https://doi.org/10.1364/JOSAA.30.002618

Angular control of optical cavities in a radiation-pressure-dominated regime: the Enhanced LIGO case

Katherine L. Dooley, Lisa Barsotti, Rana X. Adhikari, Matthew Evans, Tobin T. Fricke, Peter Fritschel, Valera Frolov, Keita Kawabe, and Nicolás Smith-Lefebvre

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Katherine L. Dooley, Lisa Barsotti, Rana X. Adhikari, Matthew Evans, Tobin T. Fricke, Peter Fritschel, Valera Frolov, Keita Kawabe, and Nicolás Smith-Lefebvre, "Angular control of optical cavities in a radiation-pressure-dominated regime: the Enhanced LIGO case," J. Opt. Soc. Am. A 30, 2618-2626 (2013)

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Abstract

We describe the angular sensing and control (ASC) of 4 km detectors of the Laser Interferometer Gravitational-Wave Observatory (LIGO). Enhanced LIGO, the culmination of the first generation LIGO detectors, operated between 2009 and 2010 with about 40 kW of laser power in the arm cavities. In this regime, radiation-pressure effects are significant and induce instabilities in the angular opto-mechanical transfer functions. Here we present and motivate the ASC design in this extreme case and present the results of its implementation in Enhanced LIGO. Highlights of the ASC performance are successful control of opto-mechanical torsional modes, relative mirror motions of $\leq 1 \times 10^{- 7} rad$ rms, and limited impact on in-band strain sensitivity.

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	$P_{circ}$ [kW]	$f_{p}$ [Hz]	$f_{S}$ [Hz]	$f_{H}$ [Hz]
Initial LIGO	9	0.60	0.19	0.66
Enhanced LIGO	40	0.60	$- 1.04$	0.83

dSoft	dHard	cSoft	cHard	RM
$+ (+) 1$	$+ (+) r$	$+ (+) 1$	$+ (+) r$	0	ETMX
$- (+) 1$	$- (+) r$	$+ (-) 1$	$+ (-) r$	0	ETMY
$+ (-) r$	$- (+) 1$	$+ (-) r$	$- (+) 1$	0	ITMX
$- (-) r$	$+ (+) 1$	$+ (+) r$	$- (-) 1$	0	ITMY
	0	0	0	1	RM

	$P_{circ}$ [kW]	$f_{p}$ [Hz]	$f_{S}$ [Hz]	$f_{H}$ [Hz]
Initial LIGO	9	0.60	0.19	0.66
Enhanced LIGO	40	0.60	$- 1.04$	0.83

dSoft	dHard	cSoft	cHard	RM
$+ (+) 1$	$+ (+) r$	$+ (+) 1$	$+ (+) r$	0	ETMX
$- (+) 1$	$- (+) r$	$+ (-) 1$	$+ (-) r$	0	ETMY
$+ (-) r$	$- (+) 1$	$+ (-) r$	$- (+) 1$	0	ITMX
$- (-) r$	$+ (+) 1$	$+ (+) r$	$- (-) 1$	0	ITMY
	0	0	0	1	RM

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Equations (8)

Journal of the Optical Society of America A