Abstract
By solving heat-conduction equation with proper initial condition and boundary conditions, 3-dimensional temperature distribution of CaF2 mirrors after illuminating by high power laser is calculated. Some simplified expressions of the temperature rise extent as a function of laser heating length, relationship among temperature distribution and the size of the mirror, obscuration of the input circular beam are obtained. The temperature profile is fitted by quadratic polynomial which is more directly and conveniently to describe the temperature rise and thermal deformations of mirror substrates. Combine these analysis together, a model for estimating mirrors’ thermal distortion is established. It is demonstrated that the difference of PV (peak value) and RMS (root-mean-square) of mirror's thermal deformation between the results obtained by the fitting curve and computed from heat-conduction equation is less than 3.5% and 7.7%.
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