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

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

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...

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Veröffentlicht in:IEEE journal of quantum electronics 1980-04, Vol.16 (4), p.461-465
Hauptverfasser: Marchi, E., Millan, L., Crino, E.
Format: Artikel
Sprache:eng
Schlagworte:
Atomic measurements
Differential equations
Energy states
Laser excitation
Measurement units
Mirrors
Nonlinear equations
Pump lasers
Reflectivity
Resonance
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Zusammenfassung: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.
ISSN:0018-9197
1558-1713
DOI:10.1109/JQE.1980.1070489