FIG. 9.9 Plots of (a) | ϕ + ( x , y ) | , (b) | ϕ − ( x , y ) | , (c) phase of ϕ + ( x , y ) , and (d) phase of ϕ − ( x , y ) for a semi-vortex soliton in the presence of the Dresselhaus SOC, λ D = 0.05 . Other parameters are λ = 1 , γ = 0.9 , and N = 3.5. It is worth mentioning that strong deformation of the semi-vortex components along the x = ±y directions may be anticipated from Eq. ( 9.5 ), which shows a strong change in the spectrum at k_x = ±k_y, induced by the Dresselhaus term in the SOC ( Sakaguchi et al., 2016 ). More about this image found in Plots of (a) | ϕ + ( x , y ) | , (b) | ϕ − ...

FIG. 9.13 Stable semi-vortex and mixed-mode solitons exist in accordingly labeled regions in the parameter plane of the norm N and Dresselhaus-SOC strength λ D . Panels (a) and (b) pertain to γ = 0 and γ = 2 , respectively. The existence regions for fixed λ D correspond to Eq. ( 9.38 ) at γ = 0 and to an accordingly modified interval at γ = 2 , see Eq. ( 9.40 ) ( Sakaguchi et al., 2016 ). More about this image found in Stable semi-vortex and mixed-mode solitons exist in accordingly labeled reg...