Abstract
The stability of the homogeneously broadened and degenerate two-photon running wave laser is analysed by using the full set of matter-field equations. The stability depends on the relative size of the relaxation constants. For 2k>1+r(k=κ/γ⊥,r=γ∥/γ⊥; κ is the cavity loss of the field and γ∥,γ⊥ are the longitudinal and transversal decay constants, respectively) no stable lasing state exists. Forr<k<(1+r)/2 an instability occurs. With the decrease in pumping the stable lasing state loses its stability due to Hopf-bifurcation.
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Ning, Cz., Haken, H. Instability in degenerate two-photon running wave laser. Z. Physik B - Condensed Matter 77, 157–162 (1989). https://doi.org/10.1007/BF01313633
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DOI: https://doi.org/10.1007/BF01313633