LHO O1 Calibration Uncertainty

C. Cahillane

Between O1 and ER8 there have been some improvements to the O1 Calibration Model.  This has significantly reduced our calibration's systematic errors between model and measurement.  I have recalculated the uncertainty budget including these fixes.
Although I have included a book of plots, I urge you to focus on Plots 1, 2, and 3.

Plot 1 is the residuals of the systematic corrections model over the nominal model
Recall the response function R = (1 + G) / C.  The red line in Plot 1 represents {(1 + G_cor)/C_cor} /{(1 + G_nom)/C_nom} where G_cor and C_cor are the systematic corrections model and G_nom and C_nom are the O1 nominal model.  

Plot 2 and 3 are the money plots: Magnitude and Phase Uncertainty when we include our systematic corrections.  It is currently dominated by uncertainty in the kappas, which remains at a flat 3% and 3 degrees for all frequencies.  I believe that after outputting LLO uncertainty, getting accurate kappa uncertainty is our next most pressing issue.  

Plots 4 and 5 are the squared magnitude and phase uncertainty components.  Here you can see that the kappas dominate our systematic corrections model uncertainty.

Plots 6, 7, 8, and 9 are the same as 2, 3, 4, and 5, only including the systematic errors as uncertainty in the nominal model.  

Plots 10, 11, and 12 are the L1, L2 and L3 actuation systematic fits to the weighted mean residuals.  Note that the delay in L3 is now 0.

Plot 13 is all of the sensing measurements and their associated models placed on a single plot.  This plot is very busy but needed to be included because this is where I get my weighted mean residuals for Plot 14.

Plot 14 is the sensing systematic fit to the weighted mean residuals.  Note that the advance is now 0.

What remains to be done:
1) LLO Uncertainty
2) Kappa Uncertainty
3) Proper A_pu Uncertainty (Should take no time whenever I'm feeling organized.  I don't expect this to change much)
Far Future:
1) Correlated Uncertainty

I believe that once we understand our kappa systematics we will have very, very low uncertainties, which is exciting for the GDS pipeline output which corrects for our systematics.  In theory our calibration should be limited by detector noise.  We are pushing to the limit.