2 May 1997 Numerical modeling of thermal effects in nonlinear crystals for high-average-power second harmonic generation
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Abstract
The influence of thermally induced phase-mismatch in nonlinear crystals for frequency doubling caused by absorption of laser power is described. A numerical model is developed, which considers the spatial temperature distribution in the crystal and the corresponding wave-vector mismatch. For the temperature profile an approximate analytical expression is derived from the the heat-transfer equation in cylindrical symmetry. The conversion efficiency is calculated by solving the basic differential equations for frequency doubling with a spatial dependent wave-vector mismatch. Because the absorption coefficients are rather different at the fundamental and second harmonic wavelength, the heat-density in the crystal depends on the conversion efficiency and vice versa. Therefore an iteration method has to be used to calculate self-consistent solutions. Experimentally a Q- switched oscillator-amplifier-system with an average power of 200 W at 1064 nm is frequency doubled to an output of 103 W at 532 nm using a KTP crystal. The numerical calculations are in good agreement with the experimental results.
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Stefan Seidel, Stefan Seidel, Guido Mann, Guido Mann, } "Numerical modeling of thermal effects in nonlinear crystals for high-average-power second harmonic generation", Proc. SPIE 2989, Modeling and Simulation of Higher-Power Laser Systems IV, (2 May 1997); doi: 10.1117/12.273671; https://doi.org/10.1117/12.273671
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