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Interferometer Control Matt Evans …talk mostly taken from… Università degli Studi di Pisa Scuola di Dottorato Galileo Galilei Ph.D. in Applied Physics The control of the VIRGO interferometer for gravitational wave detection Lisa Barsotti Pisa, 20th April 2006 European Gravitational Observatory (EGO) (Cascina-Pisa) 3 km Things to Know -> If you have a question, raise your hand and wave, or take some other action to draw my attention. This may be difficult because I haven’t slept much this week, so don’t be shy. ->The topic of this talk is “Interferometer Control”, but after years of work in this field I still don’t really know what I’m doing, so I tried to make this talk easy to understand. I probably failed… ask questions. -> I am American, and I suffer from the common misconception that Americans speak English. This means that I talk fast (because I think I speak English well), but I am difficult to understand (because I’m not really speaking English). ->This talk will require about 15 minutes if I talk fast and nobody stops me. ->I like talking to myself, but not in public… The Virgo Interferometer -> High quality optics with low absorption, suspended in vacuum -> Input Mode Cleaner -> Laser Beam 20 W EOM Injection System -> It provides the beam entering the ITF with the required power and frequency stability -> Beam RF modulation Detection System -> Output Mode-Cleaner to improve the contrast -> Detection, amplification and demodulation Virgo Design Sensitivity Seismic wall @ 4 Hz Operating Point The ITF has its nominal sensitivity only at its operating point Constraints on the tolerable fluctuations of the relative position of the mirrors resonant light inside the cavities to increase the phase sensitivity dL < 5x10-9 m RMS (integrated DC-10 kHz) anti-symmetric port on the dark fringe in order to prevent intensity noise from dominating over shot noise dL < 10-12 m RMS Suspension System The Superattenuator is a multi-stage pendulum, with passive attenuation: 10 14 @ 10 Hz At lower frequencies the noise is instead totally transferred to the mirror, even amplified by the pendulum resonances Local active control 10 14 of the Superattenuator reduces mirror motion below a few Hz Residual longitudinal motion of the mirror dL ~ 10-6 m RMS Length Control: Why Residual longitudinal motion of the mirror dL ~10-6 m RMS Intensity noise based requirement dL < 10-12 m RMS A global control system is needed to hold the ITF on its operating point by controlling relative mirror positions Length Control: Why Transmitted Power Length Control: What Actuation CA SB SB Correction signals are sent to the optics by means of coil-magnet actuators Length Sensing Filtering Gain Hz Pound-Drever-Hall error signals giving the deviation from the operating point are extracted at the output ports of the ITF Error signals are filtered to compute correction signals Control Example: Filtering Actuation Correction signals are sent to the optics by means of a bio-actuator (hand) Length Sensing Error signal giving the deviation from the operating point are extracted from our volunteer (eyes) Filtering Gain Hz Error signals are filtered to compute correction signals (brain) Different mechanical systems require different filters The Length Control Chain Signals are acquired with 16-bit ADCs @ 20 kHz Data are transferred via optical links to the Global Control which computes correction signals Corrections signals are sent to the DSPs of the involved suspension, passed through DACs and applied to the mirror Global Control Control Example: Delay Actuation Correction signals are sent to the optics by means of a bio-actuator (hand) Length Sensing Filtering Gain Hz Error signal giving the deviation from the operating point are extracted from volunteer 1 (eyes) Error signals are filtered to compute correction signals (brain 1? brain 2?) Length Control: Data The Lock Acquisition Problem Error signals are available only when the ITF is around resonance no signals available far from resonance Transmitted power Only 1 degree of freedom Correction signal sent to the mirror at a resonance crossing Correction signal Recombined ITF: lock acquisition More complex optical scheme (3 degrees of freedom: the two cavity lengths and the Michelson length) Lock acquisition can be made similar to the single cavity by using the end photodiodes Lock of the two arms indipendently Lock of the michelson Recombined ITF: linear lock Once the ITF is locked on its operating point, the longitudinal control scheme is optimized in order to reduce the control noise: * use of less noisy error signals * use of more aggressive filters linear lock control scheme Recycled ITF: after locking Frequency Servo used for common arms GW signal used to control differential arms BS controlled to keep anti-symmetric port dark PR controlled to keep power level high Angular Problem The end mirrors are 3km away The beam travels this distance many times Small angles (1 micro-radian) cause big problems Angular Sensors P P Y P Y Y Recycled ITF: angles There are 6 mirrors to control, each with 2 degrees of freedom The input beam has 4 DOFs 16 total DOFs Angular Matrix P Y Other Loops… Laser System Beam position Intensity Modulation Frequency Infrastructure Building temperature Vacuum pressure Suspension Systems Inertial damping Local Control Conclusions Control loops should be avoided Coupled systems should be placed firmly in the rubbish bin without hesitation or remorse Interferometers are evil Sleep is good