ralph said:
not if they are different sizes.
The name "double D" implies the configuration - two D-shaped coils, with the long, straight sides overlapped, back to back.
Concentric on the other hand, is essentially two coil windings, one inside the other. The outer is the field winding, the inner the phase shift detect winding (They dont actually send and receive signals - only PI's do that).
If the thinking is that they only need to be placed one over the other, and then switched back and forth, they would interfere with one another.
Now you could, in theory, place a receive coil inside one of the "D" shaped coils. The latter would be the field coil. But they would be off center, for one and NOT concentric for another.
I don't see that it is possible, as I understand these things. It isn't about our desire to do such a thing, but a function of electrophysics that prevents it.