These bands of noise in the first image are really tough to deal with, and seem to never go away no matter how long you render.
The even noise in the second image is of course something to be expected, and is no problem to deal with.
Even when pushed to enormous amounts of samples, the bands stay clearly visible:
Image-based DOF (10K samples)
Still present in Daily Builds at the moment - as noted, only with a Custom Bokeh map, and only with the “New Improved” random sampler (changing that to Stratified made the lines go away)