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I would like to simulate a passively Q-switched laser with MATLAB. Do you have any suggestions - or link to literature/paper - which rate equations I should use? It would be nice if the equations include multi longitudinal modes and a spatial dependence to implement the spatial hole burning.

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You could try the rate equation given here:

Numerical Simulation of Passively Q-Switched Solid State Lasers, I. Lăncrănjan, R. Savastru, D. Savastru and S. Micloş, DOI: 10.5772/47812

and also check google scholar, there are plenty of articles that will suit your need.

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  • $\begingroup$ Thanks for the fast response and the suggestion. I’ll read the aforementioned paper and try to simulate the problem. $\endgroup$
    – LLanadas
    Commented Mar 6, 2021 at 10:16

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