Question: Derive an analytical formula for the upper-level population N 2( t ) in the simplified upper-level laser model , assuming a Gaussian rather than a

Derive an analytical formula for the upper-level population N2(t) in the simplified upper-level

laser model , assuming a Gaussian rather than a square time-varying

pump pulse Rp(t). Plot the peak inversion that is produced vs the parameter Tp/t2.

Derive an analytical formula for the upper-level population N2(t) in the simplified

Hint: a very useful approximate formula for the error function erf(x), accurate to ~ 0.7%, is erf(x) = [1 - exp (- 4x2t)]1/2

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