Nd:YAG laser with a crystal Nd:Y3Al5O15 rod -- How many ions are in the excited state?

  • #1
Homework Statement:
A Nd:YAG laser with a crystal Nd:Y3Al5O15 rod. Determine the number of Nd ions in the excited state at threshold in this laser.
Relevant Equations:
$\gamma+\frac{1}{2L} ln(\frac{1}{R_{1}R_{2})=(N_{1}-N_{2})\sigma} $
1612705673963.png

For part b)
1612705596435.png

Gamma is the cavity loss coefficient, L is the lenght of the rod, R1,2 are the reflectivities. I am not sure how to find the number of ions in the excited state since I don't know the number of ions in the ground state.
 

Answers and Replies

  • #2
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The Nd:YAG laser is a four-level system. Thus, it is sensible to assume the lower level population ##N_1## is negligible.
 
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