SLIDE 5 The 3rd KAGRA International Workshop, 5/21-22 2017 @Academia Sinica, Taipei 5
Systematic errors of Pcal
- Major systematic errors
- Displacement from rotation
𝑑𝑝𝑜𝑒𝑗𝑢𝑗𝑝𝑜: 𝑐 ⃗ = 10,0 , M = 23kg, I =moment of inertia
- Mirror rotation
- Elastic deformation
- Absolute laser power
Dependent on beam position error
displacement ratio 1+abM/I
a1 a2 a b
θ
Pcal beam Pcal beam Main beam 𝑏 ⃗ = (𝑏 ⃗1 + 𝑏 ⃗2)/2 Test mass
𝑦 𝑔 = 2 P 𝑔 cos 𝜄 𝑑 S 𝑔 1 + 𝑁 𝐽 𝒃 N 𝒄
Geometric factor Leaser power Transfer function
It is important to identify both main and Pcal beam positions, so we need to develop beam position monitoring system.
𝑏 (mm)
1.025 1.000 1.050 1.075 0.975 0.950 0.925
1% ~6