What do you mean with after take-off turbulence? Jet blast dissipates really quickly, wake turbulence is not something you really take into consideration between departing and arriving traffic as an aircraft going around will be above the departing aircraft flight path. As you can imagine, the arriving traffic will start go-around at 200 ft maybe which is 900 m in front of the runway while the departing aircraft starts from ground level and rotates far into the runway, couple of kilometers when talking about a heavy. In other words they won’t cross each other’s flightpath.