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• W1963923510 endingPage "1660" @default.
• W1963923510 startingPage "1633" @default.
• W1963923510 abstract "An exact analysis has been carried out for general analytical expressions for the second threshold of a single-mode homogeneously broadened laser and for the initial pulsation frequency at the second threshold, for arbitary physical values of the relaxation rates, and at an arbitrary detuning between the cavity frequency and the atomic resonance frequency. These expressions also give correspondingly exact forms for asymptotic cases that have been previously studied with some approximations. Earlier approximate results are partly confirmed and partly improved by these more general expressions. The physical status of various expressions and approximations is reconsidered and specified more clearly, including an analysis of what reasonably can be attained in lasers or masers. A general analytical proof is given of the fact that, for a larger detuning of the laser cavity from resonance, a higher value of the laser excitation is required to destabilize the steady-state solution (the second threshold). We also present results for the minimum value of the second threshold at fixed detuning as a function of the other parameters of the system and for the dependence of the ratio of the second threshold to the first threshold as a function of detuning. Minima of the second threshold and of the threshold ratio occur only if the population relaxation rate is equal to zero. The minima of the threshold ratio are shown to be bounded from above as well as from below (as functions of the relaxation rates, so long as the second threshold exists). The upper bound on the minima ratio is equal to 17. The variation of the second threshold in the semi-infinite parameter space of the decay rates is shown at various detunings in plots with a finite domain by normalizing the material relaxation rates to the cavity decay rate." @default.
• W1963923510 created "2016-06-24" @default.
• W1963923510 creator A5048229264 @default.
• W1963923510 creator A5063833128 @default.
• W1963923510 date "1993-08-01" @default.
• W1963923510 modified "2023-10-01" @default.
• W1963923510 title "Laser second threshold: Its exact analytical dependence on detuning and relaxation rates" @default.
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• W1963923510 doi "https://doi.org/10.1103/physreva.48.1633" @default.
• W1963923510 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/9909768" @default.
• W1963923510 hasPublicationYear "1993" @default.
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