Modeling of optical scattering from topographic surface measurements of high-quality mirrors

Creators: Akutsu, Tomotada¹; Yamamoto, Hiroaki²

1. National Astronomical Observatory of Japan
2. California Institute of Technology

Abstract

In this paper, we revisit computational methods to obtain an angular profile of optical scattering from a smooth surface, given a two-dimensional map of topographic height errors of the surface. Quick derivations of some traditional equations and relevant references are organized to shorten the search time. A practical data-processing flow of the methods is discussed. As a case study of this flow, the core mirrors of the KAGRA interferometer are examined, and we obtain a representative scattering profile that is easily applicable to ray-tracing simulations.

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Acknowledgement

This work was supported by Ministry of Education, Culture, Sports, Science and Technology (MEXT), Japan Society for the Promotion of Science (JSPS) Leading-edge Research Infrastructure Program, JSPS Grant-in-Aid for Specially Promoted Research 26000005, and the joint research program of the Institute for Cosmic Ray Research, University of Tokyo. KAGRA is supported by Ministry of Education, Culture, Sports, Science and Technology (MEXT) and Japan Society for the Promotion of Science (JSPS) in Japan; National Research Foundation (NRF) and Ministry of Science and ICT (MSIT) in Korea; Academia Sinica (AS) and National Science and Technology Council (NSTC) in Taiwan.

We acknowledge GariLynn Billingsley, Liyuan Zhang, and Eiichi Hirose for the measurement and data reduction of the mirror maps; Yoichi Aso, Kentaro Somiya, and Haoyu Wang for suggesting us useful tips to implement the data processing; Matteo Leonardi, Marc Eisenmann, and Yuta Michimura for helping the mirror data salvage.

Funding

Japan Society for the Promotion of Science (Leading-edge Research Infrastructure Program, Specially Promoted Research 26000005); Institute for Cosmic Ray Research, University of Tokyo (joint research program).

Data Availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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