Mirror transmission and pump strength in laser rate equations

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Umbra Lupis
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In my math class we were given an assignment to model lasers, we have been given equations, and terms have been somewhat defined, but I do not know what the following terms are when relating to a laser. Any help in defining them would be awesome!

What is:

Mirror Transmission,

Pump Strength?

Thanks for your time and any help you can provide!

PS:
For those interested the equations given were:

dn/dt = GnN - kn
dN/dt = -fN - GnN + P

Where n is the number of photons, N is the number of excited atoms, G > 0 is the
gain coefficient for stimulated emission, k > 0 is the decay rate due to loss of photons by mirror transmission, scattering, etc., f > 0 is the decay rate for spontaneous emission, and P is the pump strength.
 
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Mirror transmission is the probably the probability that a photon will exit the laser when it hits the mirror. Pump strength is probably the rate at which the pump excites the atoms. I am just using your equations to make these guesses.
 
turin is correct. You can also think of mirror transmission as the percentage of power in an incident wave that is transmitted (vs. being reflected) by the mirror.