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(Color online) (a) Calculated coupling strength for two cavities with varying intercavity distance in both the Γ-X and Γ-M direction. The solid lines are exponential fits. (b) Mode profile for the quadrupole mode. (c) Absolute square of the quadrupole mode.
(Color online) Poincaré map of the steady-state solutions for two coupled cavities for detunings of 0 pm (top) and 50 pm (bottom). The insets show examples of the time evolution of the photon densities at different coupling constants. The colors indicate the amplitudes in cavities A and B, and the shaded areas mark the phase-locking regimes I and II.
(a) The extend of the phase-locking regimes is shown in the plane of coupling strength and detuning (relative to the cavity linewidth). The shaded areas are phase-locked. (b)-(d) The extend of the phase-locking regimes for zero detuning (dashed line) and for δλ = 50 pm (solid line) in the plane of coupling strength and (b) the β factor, (c) the Purcell factor and (d) the linewidth enhancement factor. The fixed parameters are (Ref. 7): n c = 3.5, Γ = 0.1, β = 0.1, α = 4, λ c = 937 nm, Q = 1250, V n = 15, F = 50, G 0 = 0.18 μm−1, N tr = 1.8 × 106 μm−3, A= 10−3 ps−1, B = 1.8 × 10−4 N tr −1 ps−1, C= 3.2 × 10−5 N tr −2ps−1, Ns = 1.8 μm−3.
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