Analytical model for ring heater thermal compensation in the Advanced Laser Interferometer Gravitational-wave Observatory
Abstract
Advanced laser interferometer gravitational-wave detectors use high laser power to achieve design sensitivity. A small part of this power is absorbed in the interferometer cavity mirrors where it creates thermal lenses, causing aberrations in the main laser beam that must be minimized by the actuation of "ring heaters," which are additional heater elements that are aimed to reduce the temperature gradients in the mirrors. In this article we derive the first, to the best of our knowledge, analytical model of the temperature field generated by an ideal ring heater. We express the resulting optical aberration contribution to the main laser beam in this axisymmetric case. Used in conjunction with wavefront measurements, our model provides a more complete understanding of the thermal state of the cavity mirrors and will allow a more efficient use of the ring heaters in the Advanced Laser Interferometer Gravitational-wave Observatory.
Additional Information
© 2016 Optical Society of America. Received 30 December 2015; revised 23 February 2016; accepted 24 February 2016; posted 25 February 2016 (Doc. ID 256494); published 28 March 2016. Funding: National Science Foundation (NSF) (1205882, 126289). The authors thank LIGO Laboratories and especially the LIGO Livingston Observatory staff for additional support. The authors warmly thank Brian O'Reilly and Shivaraj Kandhasamy for the useful discussions and Gabriela Gonzalez for her encouragement.Attached Files
Published - ao-55-10-2619.pdf
Submitted - 1512.08813v2.pdf
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Additional details
- Eprint ID
- 66560
- Resolver ID
- CaltechAUTHORS:20160429-151509100
- 1205882
- NSF
- 126289
- NSF
- Created
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2016-05-01Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field