Black_and_white_displacement.lws:
a TIF with no transparency/Alpha used: we can see the dispacement behaviour is almost the same but are not aligned to each other... and i can't see why

PNG_Tranparency displacement - Copie.lws :
here the displacement is done by a PNG with transparency file: the behaviour: here, it is totally different results and apparently octane doesn't care about transparency...
One thing to notice: inverting the png picture with image editor doen't affect the direction of the displacement.
To resume, it seems to be tricky to make fit LW-displacements with Octane ones....
**edit: after folowing the next replies, the 2 displaced planes now fit perfecly, thanks !