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Quantenmechanische Behandlung des Lasers mit nichtresonanter Rückkopplung. II Berechnung von Korrelationsfunktionen für das Strahlungsfeld
Author(s) -
Brunner W.,
Paul H.
Publication year - 1969
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19694780709
Subject(s) - physics , lambda , monochromatic color , laser linewidth , photon , annihilation , field (mathematics) , radiation , laser , operator (biology) , atomic physics , homogeneous , quantum mechanics , optics , mathematics , statistical physics , biochemistry , chemistry , repressor , transcription factor , pure mathematics , gene
In the model introduced in a preceding paper [1] (in which only the homogeneous broadening of the atomic levels is taken into account and the radiation field is assumed to be monochromatic) the first and second order correlation functions for the radiation field in one mode as well as for the total field are calculated explicitly by solving the H EISENBERG equations for the photon creation and annihilation operators b + λ , b λ and the operator \documentclass{article}\pagestyle{empty}\begin{document}$ Q \equiv \sum\limits_\lambda {b_\lambda ^ + } b_\lambda $\end{document} representing the total photon number. The linewidth of the radiation (which is the same for a single mode and the total radiation field) is found to be 2 M ‐times ( M number of modes) larger than in the corresponding case of 1‐mode operation with the same total photon number.