Karlson's patent 3540544 noted possible improvements to Karlson's original cabinets by use of curved reflectors Fig.6 & Fig.8.
Below is a side view of the "SK6.5" cabinet for fullrange 6 inch speakers. It was derived from a working larger version.
If any reader has time to draw some lines then that would be nice to upload.
If Akabak3 can truly handle the reflector and slot from a 3D model, then a simulation should be interesting.
Below is a side view of the "SK6.5" cabinet for fullrange 6 inch speakers. It was derived from a working larger version.
If any reader has time to draw some lines then that would be nice to upload.
If Akabak3 can truly handle the reflector and slot from a 3D model, then a simulation should be interesting.

It appears to be expo, which makes sense, so the question is: what flare frequency does it need to be?
I'm not sure how low such a reflector would be effective -
The depth of a 15" driver coupler from inside of the aperture wings to top of speaker baffle might be 8 inches (I think K15 is a bit too deep but corrected partly by its front shelf - and that shelf can reduce the amount of highs reaching the top of the front chamber. Karlson never used that front shelf in his smaller cabinets)
could a poor choice create new problems ?
I assume the focus should lie somewhere in front of the cabinet
Here's a parabolic dish focus calculator
Focus of Parabolic Reflector Calculator
The depth of a 15" driver coupler from inside of the aperture wings to top of speaker baffle might be 8 inches (I think K15 is a bit too deep but corrected partly by its front shelf - and that shelf can reduce the amount of highs reaching the top of the front chamber. Karlson never used that front shelf in his smaller cabinets)
could a poor choice create new problems ?
I assume the focus should lie somewhere in front of the cabinet
Here's a parabolic dish focus calculator
Focus of Parabolic Reflector Calculator