I have a problem in solving laser rate equation, I

[Ayaz115]

Hi every one.
I want to solve the Yb:YAG laser rate equations. I have three differential equation:

http://8pic.ir/images/61nyu3ya2dw5i0xc9iis_thumb.jpg

and the boundary conditions are:

http://8pic.ir/images/wa8ss3kjesg0vllnv7ju_thumb.jpg

the schematically figure of Yb:YAG crystal is:

http://8pic.ir/images/8igigmgmhr3lvqnj2edr_thumb.jpg

But in the above equations, I am confident the N1 and N0 parameters are changing but I can't recognize how they changed?is there an equation?

 

[eljose79]

Hello,

It is great that you are working on solving the Yb:YAG laser rate equations. These equations are used to describe the population dynamics in a Yb:YAG crystal, which is essential for understanding the behavior of a Yb:YAG laser.

To answer your question about the changes in N1 and N0, these parameters represent the population densities of the excited state and ground state, respectively. They change over time due to several factors, such as pumping rate, stimulated emission, and spontaneous emission. The equations for these changes can be derived from the rate equations you have provided and depend on the specific experimental conditions and properties of the Yb:YAG crystal.

Additionally, the boundary conditions you have provided represent the initial population densities of the excited and ground states at the beginning of the laser operation. These values can also be experimentally determined.

I recommend consulting with your colleagues or a laser expert for further guidance on solving these equations. Good luck with your research!