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Thermal distortions of non-Gaussian beams in Fabry–Perot cavities

J Miller1,2, P Willems2, H Yamamoto2, J Agresti2,3 and R DeSalvo2

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Thermal effects are already important in currently operating interferometric gravitational wave detectors. Planned upgrades of these detectors involve increasing optical power to combat quantum shot noise. We consider the ramifications of this increased power for one particular class of laser beams—wide, flat-topped, mesa beams. In particular we model a single mesa beam Fabry–Perot cavity having thermoelastically deformed mirrors. We calculate the intensity profile of the fundamental cavity eigenmode in the presence of thermal perturbations, and the associated changes in thermal noise. We also outline an idealized method of correcting for such effects. At each stage we contrast our results with those of a comparable Gaussian beam cavity. Although we focus on mesa beams the techniques described are applicable to any azimuthally symmetric system.


PACS

04.80.Nn Gravitational wave detectors and experiments

95.55.Ym Gravitational radiation detectors; mass spectrometers; and other instrumentation and techniques

07.60.Ly Interferometers

MSC

78A60 Lasers, masers, optical bistability, nonlinear optics (See also 81V80)

83C35 Gravitational waves

Subjects

Instrumentation and measurement

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 23 (7 December 2008)

Received 26 July 2008, in final form 1 October 2008

Published 17 November 2008



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