The numerical three-dimensional non-stationary model based on balance equations and the thermal conductivity equation was used to study the dynamic of laser amplification process in Yb:YAG media. Characteristic curves for gain and optical phase difference are obtained, and it is shown that it is possible to minimize wavefront aberrations in amplified radiation while keeping high gain coefficient by choosing optimal pump parameters. Transversal doping profiles are proposed for decreasing of losses arising from amplified stimulated emission.
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