March 17, 2004 G040143-00-Z

S2/S3 calibrationS2/S3 calibrationGabriela González,

Louisiana State UniversityJustin Garofoli, Michael Landry, Luca Matone, Hugh Radkins

(LHO), Rana Adhikari, Peter Fritschel (MIT), Szabi Marka, Peter Shawhan, Patrick Sutton (Caltech), Brian O’Reilly (LLO)

PlusXavier Siemens (UWM),

Martin Hewittson (GEO) (welcome!)

LIGO Science Collaboration meeting, March 16 2004

March 17, 2004 G040143-00-Z

Frequency dependent Frequency dependent calibration: key formulascalibration: key formulas

)()()(1

)()()(),(

fGtt

fCtfhtfASQ

)()()()()(),( fDtfCtfAtfG

interferometer

digital filterspendulum

D(f)DARM_ERR

Open loop gain Optical gain Digital gain

March 17, 2004 G040143-00-Z

Measurement and modelingMeasurement and modeling

)()()(1

)(1)()(

),(

),(

0

0

0 cal

cal

cal

cal

fGtt

fGt

X

tX

tfASQ

tfASQ

)()( 0 fPAfA DC gain (measured)

Pendulum (modeled)

)()()()(0 fDfCfAfG Open loop gain (measured) Digital gain (known)

sensing function (modeled, gain inferred)

At a reference time (2-3 times in science run):

Measured(SenseMon)In frames

inferred (SenseMon)

March 17, 2004 G040143-00-Z

S2 calibration: V3 (final)S2 calibration: V3 (final)http://blue.ligo-wa.caltech.edu/engrun/Calib_Home/

Rana’s, Peter’s Matlab Models: L1IFOparams.m, H1IFOparams.m, H2IFOparams.m, LSCModel.m are used by Mike, Brian, Gaby to produce reference functions … S02-H1-CAL-OLOOP_GAIN-734073939.txt.gz S02-H1-CAL-CAV_GAIN-734073939.txt.gz S02-H1-CAL-RESPONSE-734073939.txt.gz

that Patrick’s SenseMon (and Gaby afterwards) uses to produce alphas, betas…L1Alpha.Beta.txt, H1AlphaBeta.txt, H2AlphaBeta.txt (Peter Fritschel: H1AlphaBetaSmooth.txt)

and Duncan Brown converts everything into frames…H-CAL_REF_V03-734073939-64.gwfH-CAL_FAC_V03-729273600-5094000.gwf

March 17, 2004 G040143-00-Z

S2 noise curvesS2 noise curveshttp://www.ligo.caltech.edu/~lazz/distribution/LSC_Data/

stra

in/r

tHz

Hertz

March 17, 2004 G040143-00-Z

L1 L1 , ,

3% <0.7%

March 17, 2004 G040143-00-Z

L1 L1 , ,

March 17, 2004 G040143-00-Z

H1 H1 , ,

10% 3%

March 17, 2004 G040143-00-Z

S2 L1 errorsS2 L1 errorsMagnitude: 2

4

22

4

22

4

2222

1

1

1

1

1

1G

G

G

G

G

G

G

G

G

D

D

A

A

R

R

Mike Landry, Brian O’Reilly

/~3%

Preliminary!

March 17, 2004 G040143-00-Z

S2 L1 errorsS2 L1 errorsPhase:

2

4

22222

4

2222

1

1

1

1GDAR

G

GGG

G

G

Mike Landry, Brian O’Reilly

/~3%

Preliminary!

March 17, 2004 G040143-00-Z

S2 H1 errorsS2 H1 errorsMagnitude: 2

4

22

4

22

4

2222

1

1

1

1

1

1G

G

G

G

G

G

G

G

G

D

D

A

A

R

R

Mike Landry,Brian O’Reilly

Early epoch: /~10%

Preliminary!

March 17, 2004 G040143-00-Z

S2 H1 errorsS2 H1 errorsMagnitude: 2

4

22

4

22

4

2222

1

1

1

1

1

1G

G

G

G

G

G

G

G

G

D

D

A

A

R

R

Mike Landry,Brian O’Reilly

Final epoch: /~3%

Preliminary!

March 17, 2004 G040143-00-Z

S2 H1 errorsS2 H1 errorsPhase:

2

4

22222

4

2222

1

1

1

1GDAR

G

GGG

G

G

Mike Landry,Brian O’Reilly

Early epoch: /~10%

Preliminary!

March 17, 2004 G040143-00-Z

S2 H1 errorsS2 H1 errorsPhase:

2

4

22222

4

2222

1

1

1

1GDAR

G

GGG

G

G

Mike Landry,Brian O’Reilly

Final epoch: /~3%

Preliminary!

March 17, 2004 G040143-00-Z

S3 calibration: dynamic S3 calibration: dynamic

)()()(1

)()()(),(

fGtt

fCtfhtfASQ

)()()()()(),( fDtfCtfAtfG

interferometer

digital filterspendulum

D(f)DARM_ERR

Open loop gain Optical gain Digital gain

March 17, 2004 G040143-00-Z

S3 calibration : dynamic S3 calibration : dynamic

A dynamic : calculated at 16384Hz, low pass filtered at ~0.5 Hz, Read at ~8 Hz(?),written at 16 Hz, averaged by SenseMon at 1/60s

Notice the amplitude and time scale!!

L1 – S3

March 17, 2004 G040143-00-Z

S3 online H1 S3 online H1 , ,

PatrickSutton

March 17, 2004 G040143-00-Z

S3 online H1 S3 online H1 , , PatrickSutton

March 17, 2004 G040143-00-Z

S3 calibration: S3 calibration: V1 V1 (Jan 22, 2004)

March 17, 2004 G040143-00-Z

S3 online CalibrationS3 online Calibration

PatrickSutton

Gets better if V1 is used!

March 17, 2004 G040143-00-Z

S3 online CalibrationS3 online Calibration

PatrickSutton

Gets better if V1 is used!

March 17, 2004 G040143-00-Z

S3 H1 CalibrationS3 H1 Calibration

March 17, 2004 G040143-00-Z

Calibration StatusCalibration Status• S2 calibration:

– final V3 version posted Sept’03 – document (with errors) in preparation

• S3 calibration:– Online (E10) calibration – V1 calibration, posted on Jan’04– V2, final calibration (coming):

• calibration for LHO injection times (V1.1?)• models representing better the actual hardware

• S4 calibration: – Online info from Sensemon (P. Sutton)– On line time-domain calibration (X. Siemens)– faster tracking of line amplitudes– photon calibrator