Abstract
An exact solution of the rate equations for the time evolution of a giant pulse including spontaneous emission, but neglecting pumping, is derived by the technique of Lieseries. It turns out that for normal optically pumped solid-state lasers the influence of spontaneous emission on the properties of the pulse is negligible; however, for materials with very short life time for the excited state involved in the laser transition, the pulse will be reduced or even suppressed by the effect of spontaneous emission.
One important consequence of this investigation is that the Lie-series technique proves to be a very powerful means of solving systems of non-linear differential equations.
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The authors wish to express their appreciation to Prof. Dr. H.Haken, T. H. Stuttgart, for his suggestion of this problem. We are also grateful to Mr. A.van der Avoird for a stimulating discussion. One of us (E.H.A.) wishes to acknowledge the receipt of a scholarship from the Alexander von Humboldt-Stiftung.
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Abate, E.H., Hofelich, F. Solution by means of lie-series to the laser rate equations for a giant pulse including spontaneous emission. Z. Physik 209, 13–32 (1968). https://doi.org/10.1007/BF01379788
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DOI: https://doi.org/10.1007/BF01379788