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Simulation of a dual recycled interferometer in e2e framework

Simulation of a dual recycled interferometer in e2e framework. M.Varvella on behalf of the Virgo-LAL group in collaboration with LIGO Caltech e2e and 40m groups GWADW Elba 2006. Motivation. signal recycling option for Advanced Virgo time domain simulation using e2e ( Hiro’s talk )

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Simulation of a dual recycled interferometer in e2e framework

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  1. Simulation of a dual recycled interferometer in e2e framework M.Varvella on behalfof the Virgo-LAL group in collaboration with LIGO Caltech e2e and 40m groups GWADW Elba 2006 GWADW - Elba (Italy) 2006 M.Varvella

  2. Motivation • signal recycling option for Advanced Virgo • time domain simulation using e2e (Hiro’s talk) • acquisition of knowledges about a dual recycled interferometer on 40m site (Osamu’s talk) GWADW - Elba (Italy) 2006 M.Varvella

  3. DUAL-RECYCLED INTERFEROMETER Common of arms Differential of arms Power recycling cavity Michelson Signal recycling cavity : L = (Lx Ly) / 2 : L = (Lx Ly ) / 2 :l = (lx ly) / 2 : l = (lx ly ) / 2 :ls = ( lsx lsy) / 2 Sensitivity ETMy With Signal Recycling Ly ITMy lsy ETMx PRM Laser ly ITMx BS Without Signal Recycling lx Lx lsx better sensitivity in an optimized frequency band (naive view) SRM PO SP AP GWADW - Elba (Italy) 2006 M.Varvella

  4. Sensitivity of a dual recycled IFO (quantum noise) compared to the Power Recycled IFO sensitivity and to the SQL Sensitivity of a dual recycled IFO dashed line: pendulum thermal noise dotted line: mirror thermal noise solid line : total thermal noise P. Hello simulations Sensitivity h (Hz)-1/2 Sensitivity h (Hz)-1/2 normalized frequency normalized frequency GWADW - Elba (Italy) 2006 M.Varvella

  5. Dual-recycled interferometer in the world Already installed: • 40m@ CalTech with Fabry-Perot cavities • GEO600 @ Germany without Fabry-Perot cavities • 4m @ NAOJ Note: 10m @ Glasgow has signal recycling cavity but it is not dual Not yet existing: • AdvLIGO@ United States with Fabry-Perot cavities • same configuration than 40m • Advanced Virgo • LCGT @ Japan (broadband RSE) • Table-Top experiment @ ANU GWADW - Elba (Italy) 2006 M.Varvella

  6. OUTLINE e2e  simulation • 40m / advanced LIGOconfiguration • main e2e boxes • main results • optical plant validation - equilibrium fields, transfer functions • Large use of TWIDDLE • error signals sweeps • 40m optical response (with optical spring) • in-lock state for 5 dof with a realistic seismic noise • Mach-Zehnder noise for the 40m IFO • relative mirror velocity reconstruction • application to a possible Advanced Virgo configuration • equilibrium fields (for a given set of parameters) • optical plant validation (for a given set of parameters) • optical response GWADW - Elba (Italy) 2006 M.Varvella

  7. e2e SIMULATION:4Om/AdvLIGO package In-lock state Length Sensing Control PSL suspensions mirror positions signals monitoring optics Main e2eboxes for the time domain simulation of a Dual Recycled Fabry-Perot Michelson IFO GWADW - Elba (Italy) 2006 M.Varvella

  8. e2e SIMULATION:4Om/AdvLIGO package optical configuration ETMY ETMX arm cavity power rad pressure dual summation cavity IFO central part

  9. e2e SIMULATION:4Om/AdvLIGO package • e2evalidation of DC fields comparing withTWIDDLE results: good agreement ! • e2etransfer functions simulations (and comparison withTWIDDLEones) of DOF at SP,AP and PO shaking the end mirrors with white noise • at different demodulation frequencies : • (33,133,166,199) MHz I signal E2E TWIDDLE E2E Q signal TWIDDLE Example: DARM @ AP166 MHz TWIDDLE and e2e comparison

  10. e2e SIMULATION:4Om/AdvLIGO package Error signal sweeps at 10-9 m/s for the 40m IFO with the E2E simulation(and comparison withTWIDDLE )to validate the static case TWIDDLE E2E Example: DARM @ AP166 MHz TWIDDLE and E2Ecomparison GWADW - Elba (Italy) 2006 M.Varvella

  11. e2e SIMULATION:4Om/AdvLIGO package 40m optical response @ AP166 MHz (Dark Port) 40m real data and e2ecomparison Real data e2e optical spring peak @ 40Hz RSE peak @ 4 kHz GWADW - Elba (Italy) 2006 M.Varvella

  12. e2e SIMULATION:4Om package error signals 40m in-lock state : 5 DOF controlled with radiation pressure DARM : AP 166 MHz CARM : POX+POY 33 MHz MICH : AP 33 MHz PRC : SP 133 MHz SRC : POX 199 MHz control signals GWADW - Elba (Italy) 2006 M.Varvella

  13. e2e SIMULATION:4Om package [-10-10 , 10-10 ] m cavities length [-5 10-13 , 5 10-13 ] m mirror positions [-5 10-9,510-9 ] m 40m in-lock state 5s simulation [-5 10-8,510-9 ] m GWADW - Elba (Italy) 2006 M.Varvella

  14. Mach-Zehnder noise for the detuned RSE interferometer Mod:0.2 each MZ L- T=0.5% 0.45%<T<0.55% Finesse simulation S. Kawamura 166 MHz (Dem. Phase: max for L-) Vap 10-8 Effect of MZ Noise in terms of L- (Transfer Function from MZ to Vap) = (Transfer Function from L- to Vap) The mechanism gives 10-6 coefficient. The MZ noise should be suppressed to 10-13 m/rHz in order to suppress the L- noise to 10-19 m/rHz. e2e simulation T=0.5005% GWADW - Elba (Italy) 2006 M.Varvella

  15. e2e SIMULATION:4Om package Real data have been used to estimate relative mirror velocity for both the arms: Vxarm= (0.35 ± 0.13)μm/s Vyarm= (0.26 ± 0.13)μm/s Tr X E2E real data Comparison between real data (black) and e2e simulated data (red) of the transmitted light for both the arms (full IFO): the mirror velocities used in e2e simulation are the values obtained fitting the real data Tr Y real data E2E GWADW - Elba (Italy) 2006 M.Varvella

  16. e2e SIMULATION: application to a possible dual recycled Virgo e2eoptical configuration validation of DC fields for a given set of parameters Laser Power =100 W Demod frequency = 6.26 MHz Arm Length = 3 km PRM2BS = 6 m SRM2BS = 6 m BS2ITMN = 5.6 m BS2ITMW = 6.5 m Actual Virgo losses Detuning phase = 0.1 pi/2 for SRC SRC power 0.16 W PRC power 2713 W MICH power 1349 W West Arm power 1 MW North Arm power 1 MW GWADW - Elba (Italy) 2006 M.Varvella

  17. e2e SIMULATION: application to a possible dual recycled Virgo optical response @ Dark Port Investigation of the RSE peak for different SRC detuning phases Red 0.2 pi/2 Blu 0.1 pi/2 Green 0.05 pi/2 GWADW - Elba (Italy) 2006 M.Varvella

  18. Conclusions • e2e package ready to investigate the behavior of the • interferometers in time domain • 40m : optical configuration, in-lock state • «possible» Advanced Virgo : optical configuration • use of the e2e package to establish the suitable parameters optical configuration for Advanced Virgo and comparison with • a SIESTA model (to be implemented) and eventually other available programs GWADW - Elba (Italy) 2006 M.Varvella

  19. Further steps • e2e simulation for the 40m • Lock acquisition strategies investigation • DC readout investigation • e2e simulation applied to a dual recycled Virgo • Length Sensing Control (LSC) implementation • Optical response including optical spring • SuperAttenuator (SA) implementation • Lock acquisition strategies investigation GWADW - Elba (Italy) 2006 M.Varvella

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