1. L1 TMSY Telescope focal tuning results Adam Mullavey, Chris Guido 31 Oct 2013 LIGO-G1400170

2. Source Parameters (MM results) [EXTERNAL RESULTS] MinMaxMeanStd Dev Dim ------------------------------------------------------------------------------------------------- M≤x0.960.970.960.004- M≤y1.181.201.190.006- M≤r1.091.101.100.003- 2Wox1.6051.6671.6320.0264mm 2Woy2.1642.2262.1920.0245mm 2Wor1.9061.9661.9320.0250mm 2Wex4.1424.1674.1520.0095mm 2Wey4.0954.1394.1220.0165mm 2Wer4.1214.1534.1370.0113mm Zox-4.737-4.833-4.776-0.0401 m Zoy-4.680-4.795-4.737-0.0468 m Zor-4.711-4.796-4.758-0.0403 m Zrx1.9882.1212.0410.0587mm Zry2.8953.0782.9740.0784mm Zrr2.4492.6042.5140.0670mm Divergencex0.790.810.800.010mr Divergencey0.720.750.740.011mr Divergencer0.760.780.770.011mr Astigmatism(Zoy-Zox)/Zrr-0.03.11.51.25% Waist Asymmetry(2Woy/2Wox)1.3351.3511.3430.0073 Divergence Asymmetry Thetay/Thetax0.9190.9260.9220.0035 1.IR beam retro reflected using flipper mirror on periscope. The RED marked values are used for the model.

3. Tele Measurement - 1 (Single Lens) 1.IR beam into the Tele, retro-reflected by the 8” flat ETM, back to the MM. 2.The RED marked values are used in the model are return values. [EXTERNAL RESULTS] MinMaxMeanStd Dev Dim ---------------------------------------------------------------------------------------------------- M≤x0.911.110.980.082- M≤y0.981.061.020.032- M≤r1.081.191.130.042- 2Wox0.7880.9570.8360.0711mm 2Woy0.8410.8710.8610.0120mm 2Wor0.9091.0150.9650.0387mm 2Wex1.3051.5691.4590.1102mm 2Wey2.2252.3732.2950.0665mm 2Wer1.8771.9921.9250.0442mm Zox-0.666-0.802-0.754-0.0560 m Zoy-1.304-1.350-1.327-0.0188 m Zor-1.006-1.078-1.045-0.0264 m Zrx0.4820.6100.5290.0486mm Zry0.5300.5510.5370.0083mm Zrr0.5660.6390.6060.0265mm Divergencex1.541.631.580.039mr Divergencey1.561.641.600.033mr Divergencer1.591.611.590.008mr Astigmatism(Zoy-Zox)/Zrr-106.7-87.2-94.58.54% Waist Asymmetry(2Woy/2Wox)0.9071.0981.0350.0768 Divergence Asymmetry Thetay/Thetax0.9671.0691.0140.0444

4. Tele Measurement – 2 (Single Lens) 1.Same as ‘Tele Measurement – 1’, but with the ModeMaster rotated (roll) by 45 degrees, to sample the beam differently. 2.The RED marked values are used as the return values. [EXTERNAL RESULTS] MinMaxMeanStd Dev Dim --------------------------------------------------------------------------------------------- M≤x1.051.141.110.036- M≤y1.101.171.120.031- M≤r1.091.171.140.033- 2Wox0.9751.0451.0190.0264mm 2Woy0.8480.8920.8640.0170mm 2Wor0.9240.9660.9500.0168mm 2Wex1.7621.9741.8610.0842mm 2Wey1.9082.2452.0460.1309mm 2Wer1.9122.0551.9580.0580mm Zox-0.995-1.141-1.052-0.0628 m Zoy-0.976-1.158-1.053-0.0775 m Zor-1.028-1.103-1.052-0.0312 m Zrx0.6680.7120.6880.0162mm Zry0.4750.5020.4910.0118mm Zrr0.5770.5870.5840.0048mm Divergencex1.461.501.480.016mr Divergencey1.731.801.760.030mr Divergencer1.601.641.630.019mr Astigmatism(Zoy-Zox)/Zrr-22.728.1-0.322.43% Waist Asymmetry(2Woy/2Wox)0.8180.8860.8480.0303 Divergence Asymmetry Thetay/Thetax1.1691.2281.1890.0226

5. Telescope de-tuning Results (using TeleScan1 measurements) X-axisY-axis 1.Input into the TeleModel are the measured Source Parameters from the ModeMaster. 2.The GREEN markers are from the measured ModeMaster results from ‘Tele Measurement 1’ (they should be crossing the red calculated line). 3.The vertical lines indicate the tolerance.

6. Telescope de-tuning Results (using TeleScan2 measurements) X-axisY-axis 1.Input into the TeleModel are the measured Source Parameters from the ModeMaster. 2.The GREEN markers are from the measured ModeMaster results from ‘Tele Measurement 2’ (they should be crossing the red calculated line). 3.The vertical lines indicate the tolerance.