Fig. 2: Bifurcations of symmetry-broken CSs.
From: Spontaneous symmetry breaking of dissipative optical solitons in a two-component Kerr resonator
a Bifurcation diagram showing the intensity of the homogeneous steady-state (HSS) solutions and the peak intensity of the CS and selected modulation instability (MI) pattern solutions of Eq. (1) as indicated [parameters as in Fig. 1]. The HSS solutions are symmetric at all detunings, whilst the CS and patterned solutions undergo a symmetry breaking pitchfork bifurcation at detunings 6.4 (P-CS) and 2.4 (P-MI), respectively. Solutions that are unstable against polarization symmetry breaking are indicated with red dashed lines. The unconditionally unstable CS and HSS branches are indicated by dotted lines. b and c Compare the modal intensity profiles for a symmetry-broken CS (solid curves) and a patterned solution (dashed curves) that both exist just beyond the up-switching point at Δ = 3.16.
