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Exact solution of the rate equations for the three energy level laser

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3 Author(s)
Marchi, E. ; Department de Fiscia, Univeridad Nacional de San Luis, San Luis, Argentina ; Millan, L. ; Crino, E.

The system of two nonlinear differential equations for a three-level laser is solved exactly. It relates the number of photons q(t) in the laser cavity and the population inversion n(t) . The functions n(t) and q(t) are expanded in a power series and two recurrence relations are obtained. These are solved and the solutions are in excellent agreement with experimental results.

Published in:

Quantum Electronics, IEEE Journal of  (Volume:16 ,  Issue: 4 )