And for that, I ask me a stupid question as the result must me obvious ! Unfortunately not for me !
Considering the rate equations (that I have built up considering this laser equivalent to a 3 levels laser), I need to know the pumping rate per volume unit, Wp ( in s-1*m-3).
I intend to draw the curve of the 5I7 Ho3+ population (Upper Lasing Level) versus the time. As I know the total pump efficiency, the Upper Lasing Level energy, the rod volume, the rate equations, the total number of Ho3+ ions, I just have to consider the pump energy curve (in J) versus the time.
The problem is : what kind energy to consider in the rate equation : the mean energy or the instant energy (dE/dT) ?
It could be logical to consider the instant energy. But the result seems to be amazing. If for example one considers the pump pulse as a square signal of constant energy Emax during T seconds, dE/dT = 0 so the pumping rate would be equal to zero ! That physicaly not works !
If one considers the mean power, Emax/T , that works.
Now, I suppose E(t) is not a constant, but a gaussian (that is quite the response curve of a xenon flash tube). If I just consider the mean energy, I cannot see the population evolution versus the time ! (but just the final result).
If I consider the instant energy ... it does not works !
So what to consider ?
Many thanks for some «*coherent light*» about that question !
That must be very obvious and I am ashamed to ask such a question ... sorry ...
