Analytical models of thermal aberrations in massive mirrors heated by high power laser beams

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Abstract
We consider the problem of massive mirrors heated by intense laser sources. Heating occurs both by absorption in the silica substrate and by dissipation in the coating. In each case we derive original analytical models of the transient temperature and of the resulting thermal aberrations. Analytical formulas, based upon rapidly converging series, and numerical results are presented for the time dependent temperature and for the time dependent expansion of the aberrations in series of Zernike polynomials

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