Experimental test of higher-order Laguerre–Gauss modes in the 10 m Glasgow prototype interferometer

Sorazu, B. et al. (2013) Experimental test of higher-order Laguerre–Gauss modes in the 10 m Glasgow prototype interferometer. Classical and Quantum Gravity, 30(3), Art. 035004. (doi: 10.1088/0264-9381/30/3/035004)

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Abstract

Brownian noise of dielectric mirror coatings is expected to be one of the limiting noise sources, at the peak sensitivity, of next generation ground based interferometric gravitational wave (GW) detectors. The use of higher-order Laguerre–Gauss (LG) beams has been suggested to reduce the effect of coating thermal noise in future generations of gravitational wave detectors. In this paper we describe the first test of interferometry with higher-order LG beams in an environment similar to a full-scale gravitational wave detector. We compare the interferometric performance of higher-order LG modes and the fundamental mode beams, injected into a 10 m long suspended cavity that features a finesse of 612, a value chosen to be typical of future gravitational wave detectors. We found that the expected mode degeneracy of the injected LG3, 3 beam was resolved into a multiple peak structure, and that the cavity length control signal featured several nearby zero crossings. The break up of the mode degeneracy is due to an astigmatism (defined as |Rcy − Rcx|) of 5.25 ± 0.5 cm on one of our cavity mirrors with a radius of curvature (Rc) of 15 m. This observation agrees well with numerical simulations developed with the FINESSE software. We also report on how these higher-order mode beams respond to the misalignment and mode mismatch present in our 10 m cavity. In general we found the LG3, 3 beam to be considerably more susceptible to astigmatism and mode mismatch than a conventional fundamental mode beam. Therefore the potential application of higher-order Laguerre–Gauss beams in future gravitational wave detectors will impose much more stringent requirements on both mode matching and mirror astigmatism.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Bell, Dr Angus and Hild, Professor Stefan and Barr, Dr Bryan and Sorazu Lucio, Dr Borja and Huttner, Dr Sabina and Strain, Professor Kenneth
Authors: Sorazu, B., Fulda, P.J., Barr, B.W., Bell, A.S., Bond, C., Carbone, L., Freise, A., Hild, S., Huttner, S.H., Macarthur, J., and Strain, K.A.
College/School:College of Science and Engineering > School of Physics and Astronomy
Research Centre:College of Science and Engineering > School of Physics and Astronomy > Institute for Gravitational Research
Journal Name:Classical and Quantum Gravity
Publisher:Institute of Physics
ISSN:0264-9381
ISSN (Online):1361-6382
Copyright Holders:Copyright © 2013 IOP Publishing Ltd.
First Published:First published in Classical and Quantum Gravity 30(3):035004
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
459311Investigations in Gravitational Radiation.Sheila RowanScience & Technologies Facilities Council (STFC)PP/F001118/1P&A - PHYSICS & ASTRONOMY
459312Investigations in Gravitational Radiation.Sheila RowanScience & Technologies Facilities Council (STFC)ST/I001085/1P&A - PHYSICS & ASTRONOMY
459313Investigations in Gravitational Radiation.Sheila RowanScience & Technologies Facilities Council (STFC)ST/J000361/1P&A - PHYSICS & ASTRONOMY
569981Proposal for UK Involvement in the Operation of Advanced LIGOKenneth StrainScience & Technologies Facilities Council (STFC)ST/J000019/1P&A - PHYSICS & ASTRONOMY