(a) The 2D map of the mixing function that goes from zero (blueish region) to one (purple region). ϖ is the cylindrical radius and z the rotational axis. The jet propagates along the z axis and ϖ is the cylindrical radius in the equatorial plane. A gray mask was added to better denote the mixing region. The speed of transition inside this region can be controlled through d_m, as shown in (b). (b) Illustration of the extension of the ASO component over the selected region. The functions are of qualitative value. This shows the dependence of the parameter d on the mixing speed. We also shift the center of the function in this plot to zero. This allows for a better presentation of the mixing parameters.