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Saturation of the absorption coefficient
Posted 8 juil. 2022, 10:04 UTC−4 Heat Transfer, Materials, Studies & Solvers Version 5.5 0 Replies
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Hello everybody,
I want to simulate the temperature distribution in a crystal under laser radiation. How can I account for the saturation effect of the absorption coefficient in the medium using the following formula: 
?
where 
- saturated absorption coefficient [1/m] ; 
- unsaturated absorption coefficient [1/m]; 
- saturation intensity [W/m^2] ; 
- laser intensity [W/m^2]; 
- radial coordinate of the crystal; z - longtitudal coordinate.
And it should be taken into account that the intensity itself also changes along the entire crystal. This process can be described through Beer–Lambert law in differential form:
Thanks if anyone can help.
Hello Elizaveta Andreevna Kozlova
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