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- W2039220521 abstract "We analyze the Risken-Nummendal--Graham-Haken instability occurring in a homogeneously broadened two-level unidirectional ring laser modeled by the Maxwell-Bloch equations. We investigate the class-B limit of these equations, and obtain analytically the bifurcation equation for all time-periodic traveling-wave solutions. Class-B lasers are characterized by slowly decaying oscillatory transients due to the small ration of population to cavity lifetimes; these include a number of practically important lasers such as ${mathrm{CO}}_{2}$, solid-state, and semiconductor lasers. We then explore the bifurcation equation and note unusual properties for the direction of bifurcation. Of particlar interest is the condition for a supercritical Hopf bifurcation that contrasts to the known subcritical bifurcation of the single-mode laser. In addition, we examine the small-wave-number limit for the Hopf bifurcation." @default.
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- W2039220521 date "1994-07-01" @default.
- W2039220521 modified "2023-10-16" @default.
- W2039220521 title "Hopf bifurcation of the class-<i>B</i>multimode laser" @default.
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- W2039220521 doi "https://doi.org/10.1103/physreva.50.724" @default.
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