2015/04/13 by E. J. King, Eleanor King, Y. Levin +9
Engineering · Physics and Astronomy · #Adaptive optics and wavefront sensing #Advanced Measurement and Metrology Techniques #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Instrumentation and Methods for Astrophysics (astro-ph.IM) #Optical Systems and Laser Technology #Optics (physics.optics) #astro-ph.IM #gr-qc #physics.optics
paper · pdf · doi:10.48550/arxiv.1504.03266
7 pages, 10 figures
openalex publication_date 2015/04/13 · arxiv created 2015/04/17 · arxiv updated 2015/04/29 · openalex created_date 2022/08/31 · openalex updated_date 2026/07/28
Thermoelastic distortion resulting from optical absorption by transmissive and reflective optics can cause unacceptable changes in optical systems that employ high power beams. In advanced-generation laser-interferometric gravitational wave detectors for example, optical absorption is expected to result in wavefront distortions that would compromise the sensitivity of the detector; thus necessitating the use of adaptive thermal compensation. Unfortunately, these systems have long thermal time constants and so predictive feed-forward control systems could be required - but the finite-element analysis is computationally expensive. We describe here the use of the Betti-Maxwell elastodynamic reciprocity theorem to calculate the response of linear elastic bodies (optics) to heating that has arbitrary spatial distribution. We demonstrate using a simple example, that it can yield accurate results in computational times that are significantly less than those required for finite-element analyses.