Analytical model for ring heater thermal compensation in the Advanced Laser Interferometer Gravitational-wave Observatory

J. Ramette, M. Kasprzack, A. Brooks, Carl Blair, W. Haoyu, M. Heintze

    Research output: Contribution to journalArticlepeer-review

    18 Citations (Scopus)

    Abstract

    © 2016 Optical Society of America. 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.
    Original languageEnglish
    Pages (from-to)2619-2625
    Number of pages7
    JournalApplied Optics
    Volume55
    Issue number10
    DOIs
    Publication statusPublished - 1 Apr 2016

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