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Calculation of thermal noise in grating reflectors

: Heinert, Daniel; Kroker, Stefanie; Friedrich, Daniel; Hild, Stefan; Kley, Ernst-Bernhard; Leavey, Sean; Martin, Iain; Nawrodt, Ronny; Tünnermann, Andreas; Vyatchanin, Sergey Petrovich; Yamamoto, Kazuhiro


Physical review. D 88 (2013), No.4, Art. 042001, 17 pp.
ISSN: 0556-2821
ISSN: 1550-7998
ISSN: 1089-4918
Journal Article
Fraunhofer IOF ()

Grating reflectors have been repeatedly discussed to improve the noise performance of metrological applications due to the reduction or absence of any coating material. So far, however, no quantitative estimate on the thermal noise of these reflective structures exists. In this work we present a theoretical calculation of a grating reflector's noise. We further apply it to a proposed third generation gravitational wave detector. Depending on the grating geometry, the grating material, and the temperature, we obtain a thermal noise decrease by up to a factor of 10 compared to conventional dielectric mirrors. Thus the use of grating reflectors can substantially improve the noise performance in metrological applications.