Hang and I have reanalyzed the BHD telescope designs, with the goal of identifying sufficiently non-degenerate locations for ASC actuation. Given the limited room to reposition optics and the requirement to remain insensitive to small positioning errors, we conclude it is not possible put sufficient Gouy phase separation between the AS1/AS2 and LO1/LO2 locations. However, we can make the current layout work if we instead actuate AS1/AS4 and LO1/LO4. This would require actuating one optic on the breadboard for each relay path. If possible, we believe this offers the simplest solution (i.e., least modification to the current layout).

LO Telescope Design (Attachment 1)

Radius of curvatures:

• LO1: +10 m
• LO2: flat
• LO3: +15 m
• LO4: flat

AS Telescope Design (Attachment 2)

Radius of curvatures:

• AS1: +3 m
• AS2: flat
• AS3: -1 m
• AS4: flat