http://arxiv.org/abs/2012.02146
In this work we analyze coatings for gravitational wave detector mirrors obtained by sequencing dielectric layers, with fixed thicknesses, made of three different materials (ternary sequences). Two materials are chosen non-dissipative, i.e. are the standard oxides used in gravitational wave detector coatings technology, the third is a dissipative material. We use the methodology of the exhaustive smart search in the space of sequences to find out the coating design with minimal thermal noise satisfying suitable constraints on transmittance and absorbance. This search has a combinatorial computational complexity and is carried out with a backtracking algorithm. The results obtained show that these ternary sequences can satisfy the optical transmittance and absorbance constraints requested by the mirrors of gravitational wave interferometers, reducing the thermal noise of the coating compared to the standard configuration made of two non-dissipative materials. In all the examined cases the dissipative material is positioned on the bottom of the optimal sequence of the coating layers, close to the substrate. Furthermore, the optimal designs are robust with respect to the uncertainty of the extinction coefficient and have spectral behaviors similar to the quarter wave coatings. Finally, the possibility of further improving performance in terms of thermal noise is demonstrated by considering sequences made of non-quarter wavelength layers.
V. Pierro, V. Fiumara, F. Chiadini, et. al.
Fri, 4 Dec 20
76/77
Comments: 13 pages, 8 figures, 4 table
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