2019-01-23

According to Enomoto-san's definition:

The linear range of the TILT QPD is

vertical linear range: 1.26 mm

vertical calibration factor: 0.006339 mm/cnts

horizontal linear range: 1.42 mm

horizontal calibration factor 0.007087 mm/cnts

Since the arm lengths, according to previous measurements (7781), are 990 (TM to steering mirror) + 300 + 160 = 1450 mm for pitch and 1450 cosd(36.9) = 1159.5 mm for yaw, the linear range in units of µrad converts to:

Pitch: ±217 µrad,

Yaw: ±306 µrad,

Assuming Pitch and Yaw roughly align with the vertical and horizontal axis respectively.

As for the Length sensing QPD, 

vertical linear range: 0.22 mm

vertical calibration factor: 0.001140 mm/cnts

horizontal linear range: 0.24 mm

horizontal calibration factor: 0.001163 mm/cnts

With the distances measured previously, the linear range of longitudinal displacement is:

Longitudinal displacement: ±332.8 µm

Assuming it roughly aligns with the vertical axis.

With the above information given, the OL2EUL matrix is:

Since the steering mirror is not tilted heavily, the above matrices are roughly diagonalized. Further investigation will be done if time is allowed.