1. LIGO-G0200XX-00-M LIGO Laboratory1 Modeling the Input Optics using E2E S. Yoshida, R. Dodda, T. Findley, K.Rogillio, and N. Jamal, Southeastern Louisiana University – Acknowledgement – LIGO Livingston Observatory, SURF 2004, NSF B. Bhawal, M. Evans, V. Sannibale, and H. Yamamoto

2. LIGO-G0200XX-00-M LIGO Laboratory2 Objectives A simulation model will be very convenient to study the impact of ground motion on the input optics, and on the input beam. Therefore, we seek to do the following: 1. Build an IO box using E2E. 2. Integrate it with the Simligo. 3. Run simulation with realistic ground motion.

3. LIGO-G0200XX-00-M LIGO Laboratory3 The Process 1.Make an Small Optic Suspension (SOS) box, and validate it. 2.Use the SOS box to damp the motion of an optic when realistic ground motion is given. 3.Create a Mode Cleaner (MC) box, and try to lock the cavity when realistic ground motion is given to the Mode Cleaner optics. 4.Put all the optics ( MCs, SM, and MMTs ) in order, and create the Input Optic (IO) box. 5.Use the IO box in Simligo, and run the simulation for the entire detector.

4. LIGO-G0200XX-00-M LIGO Laboratory4 Validating SOS – Role of the Table Top motion MC1 Yaw motion using two different schemes Schematic diagram of the SOS box with HAM motion as input

5. LIGO-G0200XX-00-M LIGO Laboratory5 Calculating table’s Yaw HAM stack box  dt ACCX X in Y in Table u Table v )( 0 )( 0 2211 ),(,),( xktiykti eAtxveAtyu    )( 21  kkk  Table yaw = )},(),({ 2 1 )( 2 1 21 txviktyu x v y u       )},(),(){(txvtyuki  HAM table Vibration isolation stacks Accelerometer

6. LIGO-G0200XX-00-M LIGO Laboratory6 Dependence of k on frequency

7. LIGO-G0200XX-00-M LIGO Laboratory7 Calculating the suspension point motions of the optics u(x,y)= U - yq v(x,y)= V + xq U: table’s center of mass translational motion V: table’s center of mass translational motion q: table’s yaw motion U V q MMT3 (-0.8, 0.6) (0, 0) MC3 (0.75, -0.05) MC1 (0.75, -0.25) SM (0.75, 0.45) MMT1 (0.1, 0.4)

8. LIGO-G0200XX-00-M LIGO Laboratory8 MC2 and MC3 MC2 Pend MC2 Yaw MC3 Pend MC3 Yaw

9. LIGO-G0200XX-00-M LIGO Laboratory9 MC1 pendular motion with local damping

10. LIGO-G0200XX-00-M LIGO Laboratory10 Mode Cleaner box – Preliminary Results

11. LIGO-G0200XX-00-M LIGO Laboratory11 IO box with the full Detector box

12. LIGO-G0200XX-00-M LIGO Laboratory12 Conclusions l HAM table motion estimated from the ACC[XY] DAQ signal l MC1, MC3 local damping optimized l MC box constructed and being tested l Combination of MC and IFO in progress