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Preliminary Thoughts on the optimal Arm Cavity Finesse of Advanced Virgo. Stefan Hild and A.Freise Advanced Virgo meeting, December 2008. Overview. Advanced Virgo design: Many decissions have to been taken in near future.
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Preliminary Thoughts on the optimal Arm Cavity Finesse of Advanced Virgo Stefan Hild and A.Freise Advanced Virgo meeting, December 2008
Overview • Advanced Virgo design: Many decissions have to been taken in near future. • One decision with high impact on other subsystems is the choice of the Advanced Virgo arm cavity finesse. • This talk is a preliminary collection of aspects that need to be taken into account. Intention: to discuss if our considerations are okay with everyone… If you disagree with any statement, please shout ... Advanced Virgo, 18th of December 2008
Context • Advanced LIGO initially planned to go for an arm cavity finesse of ~1200. • The advanced Virgo reference design features an arm cavity finesse of 888. • Recently the Advanced LIGO team decided to lower the arm cavity finesse to 450. • One of the OSD tasks is to find the optimal arm cavity finesse for advanced Virgo. • Need to evaluate the benefit from lowering the finesse. Advanced Virgo, 18th of December 2008
How to compare different arm cavity finesse values? • A change of arm cavity finesse goes hand in hand with a change of the optical power inside the arm cavities. • If we decrease the arm cavity finesse, the stored optical power will go done as well. => stronger shot noise contribution. => not a fair comparison. • One can compensate for the lower finesse by increasing the power recycling gain. • Proposal: If we change the arm cavity finesse we will always restore the intra cavity power by increasing the power recycling gain, thus we always compare configurations with ~750kW per arm. Any objections ??? Advanced Virgo, 18th of December 2008
Potential reasons for loweringthe finesse? • Sensitivity ??? • Mirror losses ??? • Dark fringe offset ??? • Noise couplings from small Michelson ??? • Thermal load of BS, ITM and CPs? • Lock acquisition ??? • Losses inside the recycling cavities ??? • Coating Brownian from ITMs ??? • … anything else ??? Advanced Virgo, 18th of December 2008
Michelson sensitivity versus arm cavity finesse • In the initial detectors the arm cavity finesse determines the detector bandwidth: • Low finesse = large bandwidth • High finesse = best peak sensitivity • Is this also true for Advanced Virgo? Advanced Virgo, 18th of December 2008
Sensitivity for finesse 888 and 444 • Let’s see how the ADV sensitivity changes if we lower the arm cavity finesse by a factor of 2. • Step 1: • double ITM transmission • double PR factor • Step 2: • If we half the arm cavity finesse we also have to compensate the Signal Recycling parameters: • double Signal Recycling detuning • double SRM transmittance Advanced Virgo, 18th of December 2008
Sensitivity for finesse 888 and 444 • The Advanced Virgo sensitivity is (within a certain) range independent of the arm cavity finesse !! Advanced Virgo, 18th of December 2008
Potential reasons for loweringthe finesse? • Sensitivity …………………………………………………..independent • Mirror losses ??? • Dark fringe offset ??? • Noise couplings from small Michelson ??? • Thermal load of BS, ITM and CPs? • Lock acquisition ??? • Losses inside the recycling cavities ??? • Coating Brownian from ITMs ??? • … anything else ??? Advanced Virgo, 18th of December 2008
Finesse and mirror losses • Advanced Virgo preliminary design assumes 37.5ppm loss per surface. • This is an ambitious goal. What happens if the losses turn out to be twice as much (75ppm)? Any influence of arm cavity finesse? • The sensitivity changes with the mirror losses independent of the arm cavity finesse. Advanced Virgo, 18th of December 2008
Potential reasons for loweringthe finesse? • Sensitivity …………………………………………………..independent • Mirror losses ……………………………………………...independent • Dark fringe offset ??? • Noise couplings from small Michelson ??? • Thermal load of BS, ITM and CPs? • Lock acquisition ??? • Losses inside the recycling cavities ??? • Coating Brownian from ITMs ??? • … anything else ??? Advanced Virgo, 18th of December 2008
Dark fringe offset and arm cavity finesse • Consider imbalanced losses in the two arm cavities. => excess carrier light at the dark port. • Optical readout quadrature is determined by a combination of dark fringe offset and carrier light from differential losses. • To get best sensitivity we probably want to dominate the local oscillator by the dark fringe offset (need to check this…). • If strong light contribution from differential losses => need larger dark fringe offset => need to detect more light power. • Carrier light from differential losses at dark port proportional to arm cavity finesse. • In principle low finesse reduces the dark port power due to differential losses in the arm cavity. However, the dark port power from differential losses is rather small (<5mW) …need to put exact numbers on this .. Advanced Virgo, 18th of December 2008
Potential reasons for loweringthe finesse? • Sensitivity …………………………………………………..independent • Mirror losses ……………………………………………...independent • Dark fringe offset ……………………………………………...YES • Noise couplings from small Michelson ??? • Thermal load of BS, ITM and CPs? • Lock acquisition ??? • Losses inside the recycling cavities ??? • Coating Brownian from ITMs ??? • … anything else ??? Advanced Virgo, 18th of December 2008
Noise coupling from the small Michelson • All differential arm length noise inside the small Michel-son (MICH) gets suppressed by the arm cavity finesse. • Lower finesse => stricter requirements for: • Thermo refractive noise inside ITMs, CPs, BS. • Quietness of wedged optics (CPs? ITMs? BS?) • … etc … Advanced Virgo, 18th of December 2008
Potential reasons for loweringthe finesse? • Sensitivity …………………………………………………..independent • Mirror losses ……………………………………………...independent • Dark fringe offset ……………………………………………...YES • Noise couplings from small Michelson ……………...NO • Thermal load of BS, ITM and CPs? • Lock acquisition ??? • Losses inside the recycling cavities ??? • Coating Brownian from ITMs ??? • … anything else ??? Advanced Virgo, 18th of December 2008
Thermal load of BS, CP and ITM substrates • Optical power inside the power recycling cavity is proportional to inverse of the arm cavity finesse. • Lowering the arm cavity finesse from 888 to 444 increases optical power in BS, CP and ITM substrates from 1.35kW to 2.7kW. • Any problem from thermal lensing? …need to check with TCS … • ITM probably okay, since dominated by coating absorbtion. (?) • How about thermal lenses in BS and CPs ? Advanced Virgo, 18th of December 2008
Potential reasons for loweringthe finesse? • Sensitivity …………………………………………………..independent • Mirror losses ……………………………………………...independent • Dark fringe offset ……………………………………………...YES • Noise couplings from small Michelson ……………...NO • Thermal load of BS, ITM and CPs …………..………...NO • Lock acquisition ??? • Losses inside the recycling cavities ??? • Coating Brownian from ITMs ??? • … anything else ??? Advanced Virgo, 18th of December 2008
Lock-acquistion and finesse • The capture range of arm cavities inverse proportional to the Finesse. • Lowering the arm cavity finesse would make lock acquisition easier. • … need some quantitative input from ISC … Advanced Virgo, 18th of December 2008
Potential reasons for loweringthe finesse? • Sensitivity …………………………………………………..independent • Mirror losses ……………………………………………...independent • Dark fringe offset ……………………………………………...YES • Noise couplings from small Michelson ……………...NO • Thermal load of BS, ITM and CPs …………..………...NO • Lock acquisition ………………………………………………...YES • Losses inside the recycling cavities ??? • Coating Brownian from ITMs ??? • … anything else ??? Advanced Virgo, 18th of December 2008
Losses inside PRC and SRC • If there are unexpectedly high losses inside the PRC, then a high arm cavity finesse would be better. • If there are unexpectedly high losses inside the SRC, then a low arm cavity finesse would be better. • Advanced LIGO argumentation (from LIGO-T070303-00-D): • PRC losses can be compensated for by higher laser power. • For equal PRC and SRC losses ALIGO favors a small finesse. • However, only ‘really’ strong losses (0.x%) inside the SRC seem to have a significant impact. … need to put exact numbers on this for Advanced Virgo…. Advanced Virgo, 18th of December 2008
Potential reasons for loweringthe finesse? • Sensitivity …………………………………………………..independent • Mirror losses ……………………………………………...independent • Dark fringe offset ……………………………………………...YES • Noise couplings from small Michelson ……………...NO • Thermal load of BS, ITM and CPs …………..………...NO • Lock acquisition ………………………………………………...YES • Losses inside the recycling cavities ………….…not clear • Coating Brownian from ITMs ??? • … anything else ??? Advanced Virgo, 18th of December 2008
Coating Brownian and finesse • Lower finesse => higher transmittance of the ITM HR coating. • Lowering arm cavity finesse from 888 to 444: • increasing ITM transmittance from 0.007 to 0.014 • might be able to get rid of 1 or 2 coating layer on ITM • Reduce coating Brownian of ITM • Might change overall coating noise contribution by a few %. … need to check exact numbers … Coating Brownian noise of one mirror: Advanced Virgo, 18th of December 2008
Potential reasons for loweringthe finesse? • Sensitivity …………………………………………………..independent • Mirror losses ……………………………………………...independent • Dark fringe offset ……………………………………………...YES • Noise couplings from small Michelson ……………...NO • Thermal load of BS, ITM and CPs …………..………...NO • Lock acquisition ………………………………………………...YES • Losses inside the recycling cavities ………….…not clear • Coating Brownian from ITMs ………….………………...YES • … anything else ??? Advanced Virgo, 18th of December 2008
Summary • For the choice of the optimal arm cavity finesse several aspects need to be taken into account: • PRO low finesse: Lock acquisition, coupling of differential losses to dark port power, ITM coating Brownian, (losses inside the SRC?). • CONTRA low finesse: Noise couplings from MICH to DARM, thermal load of BS, CP and ITM substrate. • Within a certain range of values (finesse between 300 and 1000) none of the aspects seem give a NO-GO argument. • Main Question: Are there any strong arguments from any other subsystems for choosing a particular arm cavity finesse. Advanced Virgo, 18th of December 2008