40m AOS DRD, G R1 40m Auxiliary Optics Support Design Requirements Document & Conceptual Design Michael Smith 10/18/01 Stray Light Control Initial Alignment System Optical Lever System Video Monitoring System

40m AOS DRD, G R2 Ghost Beam Naming Convention 1

40m AOS DRD, G R3 Ghost Beam Naming Convention 2

40m AOS DRD, G R4 Scattered Light Requirements Source Scattered power allocation factor Scattered power into IFO, watt Requireme nt per source, Ps, watt Incident power, Pi, watt 100 Hz300 Hz1000 Hz AP E E E AP E E E ETMX GBAR2 PO, window scatter E E E ETMY GBAR2 PO, window scatter E E E ETMX GBAR2 PO E E E ETMY GBAR2 PO E E E Glint from AP1 lens E E E

40m AOS DRD, G R5 Beam Dump/Baffle Optical Requirements Table 4: SEI-mounted Beam Dump Optical Requirements ParameterRequired ValueMeasured Value Reflectivity< Material DESAG OG 14 filter glass BRDF<1E-2 sr -1 <1.4E-4 sr -1 Arm Cavity Baffle Optical Requirements ParameterRequired ValueMeasured Value Reflectivity< 0.39E-4 Material DESAG OG 14 filter glass BRDF<1E-2 sr -1 <1.4E-4 sr -1 Table 6: Mode Cleaner Baffle Optical Requirements ParameterRequired ValueMeasured Value ReflectivityNot specified0.035 Material DESAG OG 14 filter glass BRDFNot specified<1.4E-4 sr -1

40m AOS DRD, G R6 Initial Alignment System Requirements Angular positioning +/- 0.1 mrad (ITM, ETM, BS, PRM, SRM) Transverse positioning +/- 2 mm (ITM, ETM) +/- 2 mm (BS, RM, SRM) Axial positioning +/- 3 mm (ITM, ETM, BS, RM, FM)

40m AOS DRD, G R7 Initial Alignment System Physical Characteristics Theodolite / 3-D Coordinate Measuring System Transit Square Laser Autocollimator COS Autocollimator

40m AOS DRD, G R8 Optical Lever Projector

40m AOS DRD, G R9 Angle Sensitivity, Zoom Optical Lever Sensor ParameterRequirementActual Wavelength, nm 633 Local Minimum beam angle, rad10 x Maximum beam angle, rad2500 x Global Minimum beam angle, rad1 x Maximum beam angle, rad250 x Cross coupling, rad/mm 0 Long term drift, rad<50 x TBD

40m AOS DRD, G R10 Optical Lever, Etmx

40m AOS DRD, G R11 Optical Lever, ITMx

40m AOS DRD, G R12 Optical Lever, ITMy

40m AOS DRD, G R13 Optical Lever, PRM, BS, SRM

40m AOS DRD, G R14 Video Monitor for IMC Flat Mirrors

40m AOS DRD, G R15 Video Monitor for Itmy

40m AOS DRD, G R16 Video Monitor for PRM, BS, SRM

40m AOS DRD, G R17 Video Monitor for Etmx

40m AOS DRD, G R18 Scattered Light Noise Theory Noise/signal ratio Scattered light criteria Allocation factor Requirement

40m AOS DRD, G R19 Parameters for the K Values Parameters for the K values ParameterValue Recycling cavity gain14 Arm cavity power gain778 Reflection coefficient of PRM Transmission coefficient of PRM ITM reflection coefficient ITM transmission coefficient ETM reflection coefficient ETM transmission coefficient Reflection coefficient of resonance Asymmetry coeff. Michelson arms0.003 Scattering loss from ITM and ETM mirrors2.75E-05

40m AOS DRD, G R20 K Values, Seismic Surfaces Frequency K values, seismic surfaces100 Hz300 Hz1000 Hz K-ITM1.77E E E+02 K-APS1.77E E E+02 K-ETM2.76E E E+02 K-SPS5.67E E E+00 K-RM5.67E E E+00 K-SM0.00E+00 K-ARM8.74E E E M seismic spectral density, m/Hz^ E E E M strain sensitivity, 1/Hz^ E E E-21

40m AOS DRD, G R21 APS Photodetector Scatter Scattered light Incident power

40m AOS DRD, G R22 Beam Glint Glint power P g = P i R  ParameterValue Glint efficiency, AP1 lens Glint efficiency, OMCR lens Glint efficiency, OMCR lens 21.2E-06 Glint efficiency, output Faraday 1.25E-3 rad tilt)2.68E-06 AR reflectivity, lens0.0020