Determining the Optimal Values for Certain Rate Equation Parameters of the Cr: LiSAF Laser with Cr: YSO as a Saturable Absorber Through an Optimization Technique

الملخص

Q-switching is a technique employed for control a laser system, enabling the generation of brief, high-energies laser pulses. The purpose of this study is to identify optimal values for certain rate equation parameters using an optimization technique. The Runge – Kutta – Fehlberg approach was employed to simulate the rate equations to find pulse characteristics of a Cr: LiSAF laser with Cr: YSO as a saturable absorber under a certain condition. The Rosenbrock optimization technique was used to find the optimal values of the decision variables (β, γa, γc) for different saturable absorber molecules number. The values of γa and γc are found to decrease with the increasing number of molecules due to the decrease in the absorption of photons by the material as a result of reaching the saturation state. For the β parameter, the increase in the saturable absorber molecules number leads to an increase in its value. According to the computer code, the calculated energy value was 4.19 mJ compared to the published 4.3 mJ, while the pulse duration is 35.1 nsec compared with 35 nsec.
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