SEI Structure Development

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TAMA RSE?length??????

• ??????Caltech
• ?? ?
• ???????????????
• TAMA Collaboration

7

• ??????????

Michelson interferometer (MI) Fabry-Perot
MI (FPMI) Power recycling (PRFPMI)
Dual recycling (DR)
????????????????????????????
Fabry-Perot caivty???????????????????
Dark Port??????????????????(Signal Recycling)
Bright Port????????????????????????
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RSE??

• ????????????Resonant Sideband Extraction??
• ?????????????Signal Recycling????
• Dark port?????????????????????????????????????????
  ?????????????????????
• ?????????????????
• Advanced LIGO?LCGT????????(??Advanced Virgo????)

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• RSE??????????

DC?????????????
Low Finesse

• ?km?????????????????????????????(ex. LIGO100)
• ????????????????DC?? shotonoise limited
  sensitivity???????????????????????????????
• ?????????????????????????????????

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RSE??????????
?????
Signal extraction cavity (SEC)
SEM

• ???????????????????????????????????!
• ????????????????????????????????????????????(SEC)?
  ????????????????????????????????????
• ?????????????????????????????????????????????????D
  ark port?????????????????????(RSE)??????
• ???????????resonant????????????sideband??extract
  (????)?????????????????????????????????????

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• Detuning

• ????SRM????????????????(detuning)?????????????????
  ?????????

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Historical review ofAdvanced interferometer
configuration
1986 Signal Recycling (Dual Recycling) B. Meers
1998 Garching 30m G. Heinzel
GEO600
Glassgow 10m

• 2000
• Tabletop with new control
• Caltech (DRSEPR) J. Mason
• Florida (DRPR)
• Australia (DRSEPR) D. Shaddock

• 1993
• RSE
• Idea J. Mizuno
• Tabletop G. Heinzel

• 2005
• Caltech 40m
• Suspended mass
• DRSEPR

2013 AdLIGO(DRSE)
2002 NAOJ 4m Susp. mass BRSE (No PR) O.
Miyakawa
2004 NAOJ 4m Susp. mass DRSE (No PR) K. Somiya
2013 LCGT(BRSE)
2010
2007 NAOJ 4m Susp. mass BBRSEPR F. Kawazoe
TAMARSE (BRSEPRWFS)

• 2001
• QND study Y. Chen, A. Buonanno
• Optical spring
• Readout scheme

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???Advanced Optical configuration

• GEO
• Dual Recycled Michelson (DRMI)
• 40m
• Detuned RSE
• PRFPMI DC readout
• SRMI squeezer
• Enhanced LIGO
• PRFPMI DC readout
• Advanced LIGO
• Detuned RSE DC readout
• (Broad-band RSE DC readout squeezer)
• LCGT
• Broad-band RSE
• Advanced VIRGO, EGO, ET
• RSE(broadband, detuned), DC readout (output mode
  cleaner??), squeezer?3???????

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????????????????

• ?100W??????????? (20x)
• ???????????????
• 3 - 4???????
• SPI (Suspension Point Interferometer)
• Digital control system
• ?????detuned RSE
• OMC (output mode cleaner) ? DC readout ???
  homodyne detection

ADVANCED LIGO LAYOUT
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Anatomy of the projected Adv LIGO detector
performance

• Newtonian background,estimate for LIGO sites
• Seismic cutoff at 10 Hz
• Suspension thermal noise
• Test mass thermal noise
• Unified quantum noise dominates at most
  frequencies for fullpower, broadband tuning

Initial LIGO
Advanced LIGO
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Caltech 40 meter prototype interferometer

• Objectives
• Develop lock acquisition procedure of detuned
  Resonant Sideband Extraction (RSE)
  interferometer, as close as possible to Advanced
  LIGO optical design
• Verify optical spring and optical resonance
  effects
• Develop DC readout scheme

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Signal extraction scheme
ETMy

• Mach-Zehnder is installed to eliminate sidebands
  of sidebands.
• Only f2 is resonant on SRC.
• Unbalanced sidebands of /-f2 due to detuned SRC
  produce good error signal for Central part.

4km
f2
ITMy
ETMx
PRM
ITMx
BS
4km
f1
SRM

• Single demodulation
• Arm information

• Double demodulation
• Central part information

• Arm cavity signals are extracted from beat
  between carrier and f1 or f2.
• Central part (Michelson, PRC, SRC) signals are
  extracted from beat between f1 and f2, not
  including arm cavity information.

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Mach-Zehnder interferometerto eliminate
sidebands of sidebands
Mach-Zehnder interferometer with no sidebands of
sidebands
Series EOMs with sidebands of sidebands
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The way to full RSE
Detuned dual recycled Michelson
RSE
5 DOF lock with offset in CARM
ETMy
Reducing CARM offset
ITMy
PRM
ITMx
ETMx
BS
SRM
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Lock acquisition procedure towards detuned RSE
Low gain
High gain
TrY PDs
POY
ITMy
166MHz
POX
ITMx
13m MC
BS
High gain
33MHz
PRM
TrX PDs
Low gain
PO DDM
SP33
SRM
SP166
SP DDM
AP166
AP DDM
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Lock acquisition procedure towards detuned RSE
Low gain
High gain
DRMI
TrY PDs
POY
ITMy
166MHz
POX
ITMx
13m MC
BS
High gain
33MHz
PRM
TrX PDs
Low gain
PO DDM
SP33
SRM
SP166
I
SP DDM
Q
AP166
AP DDM
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Lock acquisition procedure towards detuned RSE
DRMI 2arms with offset using digitally
normalized
Low gain
High gain
TrY PDs

1. Avoids coupling of arms through carrier in PRC
2. Avoids ringing
3. High cavity pole frequency

POY
ITMy
166MHz
POX
ITMx
13m MC
BS
High gain
33MHz
PRM
TrX PDs
Low gain
PO DDM
SRM
SP166
SP33
I
SP DDM
Q
AP166
AP DDM
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Lock acquisition procedure towards detuned RSE
Normalization process
Short DOFs -gt DDM CARM-gt Normalized
RF DARM-gtNormalized RF CARM with offset DARM
with no offset
Low gain
High gain
TrY PDs
POX/TrXPOY/TrY
CARM


DARM
POY
ITMy
166MHz
POX
ITMx
13m MC
High gain
BS
33MHz
PRM
TrX PDs
Low gain
PO DDM
SRM
SP33
SP166
SP DDM
AP166
AP DDM
AP166/(TrXTrY)
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Lock acquisition procedure towards detuned RSE
Normalization process
Low gain
High gain
TrY PDs
Reduce CARM offset to Full RSE
POX/TrXPOY/TrY
CARM


DARM
ITMy
166MHz
POX
ITMx
ITMx
13m MC
High gain
BS
33MHz
PRM
TrX PDs
Low gain
PO DDM
SRM
SP33
SP166
SP DDM
AP166
AP DDM
AP166/(TrXTrY)
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Optical response with fit to A.Buonanno Y.Chen
formula

• Optical spring and optical resonance of detuned
  RSE were measured and fitted to ABYC formula.

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TAMA RSE

• 40m?TAMA??0.1Hz??10Hz??????1-2???(???10???????????
  ???)?
• ????????????????????detuned RSE??????????????????
• ??????????????????????????????????????????????????
  ????????
• ????40m?????????????????????????PRFPMI????????????
  ????????PRC???????????3???????????????????RSE?????
  ????????
• TAMA?BBRSE???detuned????????

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TAMA RSE?????????

• ?????????????????
• RSE?????
• ???????????????
• ???????????????
• Alignment control???

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Geometry

• NM,EM?SAS?????????????????(????mm)
• ????????????????
• 2.8679 - 2.3213 0.5466 m
• ???
• PRM??????????
• SRM????????????
• ???????BS-NM???????

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???????

• ?????????? 2W
• PD????????? 10mW for L, L-, l, l-, ls , 40mW
  for L-
• ???????Finesse 516
• PRM??? 0.85
• SRM??? 0.48085
• ????????????? 14.2
• ???? 0.93
• ???f1 ? f2 ?2????????Mach-Zehnder???????
• ?????? 0.175 (EOM????0.35?Mach-Zehnder???????)
• f1?7????f2?2?????
• ???????????????Free Spectral Range???15.235MHz???

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RF????????

• ??????MC?FSR???15.235MHz???
• Michelson????????????????
• Michelson??????????????9??135MHz??
• Michelson?????????2???????? f2?WFS(wave front
  sensor)?QPD???????????
• DDM(double demodulation)?????????????shotnoise
  limit sensitivity????AM-PM?????????
• SDM(single demodulation)?????????????shotnoise
  limit sensitivity???? PM-PM?????????
• THD(3rd harmonics demodulation)?????????

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RF????????

• 15MHz-AM, 135MHz-PM, DDM (LCGT??????WFS????)
• 15MHz-AM, 75MHz-PM, DDM (??????????WFS????)
• 15MHz-AM, 45MHz-PM, DDM (WFS????OK?????offset?)
• 15MHz-PM, 75MHz-PM, SDM, THD by 45MHz
  (DDM????THD??L , L-???????WFSOK??TAMA???????)
• 15MHz-PM, (30MHz-AM), 75MHz-PM, DDM by 75MHz and
  30MHz, SDM (DDM??L , L-???????WFSOK??TAMA???????)
  
• 15MHz-PM, (30MHz-AM), 75MHz-PM, diff. demod. by
  45MHz, SDM (L , L-???????WFSOK??TAMA???????)
• 15MHz-PM, (30MHz-AM), 75MHz-PM, sum. demod. by
  105MHz, SDM (??????WFSOK??TAMA???????)
• ???Optickle(??)????FINESSE(??)?????????????

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15MHz-PM, (30MHz-AM), 75MHz-PM, sum. demod. by
105MHz
Carrier
7????????
f275MHz
f115MHz
-30MHz AM
30MHz AM
-f2
-f1

• ?? 15MHz-PM, 75MMHz-PM
• ????DRMI????????15MHz?PM?????30MHz?AM??????30751
  05MHz?Summation Demodulation???
• Carrier? f1?7??105MHz???????????l????????????
  f1?7????????????????
• 15MHz?PM????????????????15MHz?????????????
• 105MHz??75MHz???????PD?75MHz?WFS?QPD??????????????
  ????????

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Signal Extraction Matrix
15MHz-AM,135MHz-PM, DDM
port freq. dem.ph. L L- l l- ls
SY f1 114 1 -1.5E-04 3.1E-03 -1.3E-06 1.1E-04
AS f2 32 -4.4E-03 1 -1.1E-05 3.0E-03 3.0E-06
SY f1 x f2 -101 3.2E-03 -5.2E-07 1 -1.7E-04 4.9E-02
AS f1 x f2 -52 -1.4E-05 3.0E-03 -6.0E-03 1 9.4E-04
PO f1 x f2 -39 -8.5E-03 -4.4E-04 -4.2E00 -9.0E-02 1
ETMy
L?( Lx? Ly)/2 L? Lx? Ly l?( lx? ly)/2 l? lx?
ly ls( lsx? lsy)/2
Ly
ITMy
lsy
Laser
PRM
ly
ETMx
BS
lx
Lx
ITMx
lsx
SEM
SP
PO
AP
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Signal Extraction Matrix
15MHz-AM,135MHz-PM, DDM
port freq. dem.ph. L L- l l- ls
SY f1 114 1 -1.5E-04 3.1E-03 -1.3E-06 1.1E-04
AS f2 32 -4.4E-03 1 -1.1E-05 3.0E-03 3.0E-06
SY f1 x f2 -101 3.2E-03 -5.2E-07 1 -1.7E-04 4.9E-02
AS f1 x f2 -52 -1.4E-05 3.0E-03 -6.0E-03 1 9.4E-04
PO f1 x f2 -39 -8.5E-03 -4.4E-04 -4.2E00 -9.0E-02 1

port freq. dem.ph. L L- l l- ls
SY f1 114 1.00E00 -1.49E-04 3.89E-04 3.39E-06 -2.66E-05
AS f2 43 -4.38E-03 1.00E00 2.45E-06 2.99E-03 1.98E-06
SY 3 x f1 163 4.27E01 -6.23E-03 1.00E00 -5.63E-04 4.69E-02
AS 3 x f1 -40 -2.11E00 5.17E02 -6.26E-01 1.00E00 3.11E-01
PO 3 x f1 153 -1.79E02 8.79E00 -1.44E00 -1.43E00 1.00E00

port freq. dem.ph. L L- l l- ls
SY f1 114 1 -1.5E-04 3.9E-04 3.4E-06 -2.7E-05
AS f2 32 -4.4E-03 1 -6.8E-07 3.0E-03 3.7E-06
SY 7 x f1 -101 3.6E-03 -6.2E-05 1 -1.8E-03 2.1E-01
AS 7 x f1 -52 -4.9E-02 3.4E-01 -2.7E-02 1 -1.5E-01
PO 7 x f1 -39 2.7E-01 -2.8E-01 6.1E-01 -1.4E00 1
15MHz-PM, (30MHz-AM), 75MHz-PM, THD or diff.
demod. by 45MHz
15MHz-PM, (30MHz-AM), 75MHz-PM,sum. demod. by
105MHz
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Cross coupling
???????????

• ????5?????????????
• 1??????????????2??3??????????????5x5??????????????
  ? L-??????????????
• ?????????????????????
• ??
• f -1?????????????
• UGF 50k, 800, 50, 20, 50 Hz for L, L-, l,
  l-, ls

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15MHz-PM, (30MHz-AM), 75MHz-PM, sum.demod

• Feed forward?? Feed
  forward??
• L-???????l, l-, ls???????????????
• l ??????L-?Feed Forward ???????l
  ??Coupling?????????
• ????????????????????30-100??1?Coupling????????
• Feed forward????L-???????l-, ls???????????????
• ???2??AM?1??PM????l-, ls?shotnoise limited
  sensitivity??????????

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Signal ports for 15MHz-PM, 75MHz-PM

• Shot noise limited sensitivity m/rHz at
  0.100000 Hz
• dem.ph L L-
  l l- ls
• SY f1 114 1.77e-019 -1.19e-015 1.11e-017
  1.90e-017 -2.74e-017
• SY f2 32 2.25e-018 -1.51e-014 1.75e-016
  2.04e-015 1.07e-015
• AS f1 -137 -4.15e-017 1.82e-019 9.42e-018
  6.07e-017 4.00e-015
• AS f2 32 -1.44e-017 6.29e-020 -8.98e-019
  2.09e-017 2.34e-015
• SY 7xf1 -101 3.48e-012 -2.05e-010
  1.27e-014 -6.94e-012 5.96e-014 SY f1 114
  1.77e-019 -1.19e-015 1.11e-017
  1.90e-017 -2.74e-017 SY f2 31
  2.25e-018 -1.51e-014 1.74e-016 -1.70e-016
  1.07e-015
• PO f1 25 -9.45e-019 1.92e-017
  1.14e-016 -1.53e-016 1.96e-016
• PO f2 -54 1.58e-018 -3.21e-017
  2.26e-016 -4.75e-017 -1.86e-015
• AS 7xf1 -52 -5.35e-013 7.69e-014 -9.73e-013
  2.63e-014 -1.76e-013
• SY f1 27 3.54e-018 -2.44e-014 2.12e-016
  2.14e-015 -5.00e-016
• SY f2 121 1.29e-016 6.05e-013 -1.89e-014
  1.13e-015 -1.28e-013
• AS f1 42 1.25e-016 -5.46e-019 -2.71e-017 -1
  .82e-016 -1.21e-014
• AS f2 32 -4.31e-017 1.89e-019 -2.77e-018
  6.27e-017 7.03e-015
• PO f1 118 1.83e-017 -3.72e-016 -2.14e-015
  8.27e-015 -2.09e-014
• PO f2 36 -2.53e-016 5.15e-015
  2.59e-018 -4.33e-015 1.86e-014

L L- l l- ls
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15MHz-PM, (30MHz-AM), 75MHz-PM
15MHz-PM, (30MHz-AM), 75MHz-PM,sum. demod. by
105MHz
port freq. dem.ph. L L- l l- ls
SY f1 114 1 -1.5E-04 3.9E-04 3.4E-06 -2.7E-05
AS f2 32 -4.4E-03 1 -6.8E-07 3.0E-03 3.7E-06
SY 7 x f1 -101 3.6E-03 -6.2E-05 1 -1.8E-03 2.1E-01
AS 7 x f1 -52 -4.9E-02 3.4E-01 -2.7E-02 1 -1.5E-01
PO 7 x f1 -39 2.7E-01 -2.8E-01 6.1E-01 -1.4E00 1

port freq. dem.ph. L L- l l- ls
SY f1 114 1 -1.5E-04 3.9E-04 3.4E-06 -2.7E-05
AS f2 32 -4.4E-03 1 -6.8E-07 3.0E-03 3.7E-06
SY 7 x f1 -101 3.6E-03 -6.2E-05 1 -1.8E-03 2.1E-01
SY f2 121 9.6E00 1.8E-03 -3.6E-05 1 -5.3E-03
PO f2 116 -1.2E03 5.8E01 1.4E00 -2.8E-01 1
15MHz-PM, (30MHz-AM), 75MHz-PM, single demod
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Detection mode with Single demodulations

• Feed Forward?? Feed Forward??
• l-, ls ?shotnoise limit sensitivity???????????????
  ??L-??????
• ????(Acquisition mode)?Sum.demod.?????????single
  deod.?????Detection mode??????

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Signal ports for 15MHz-PM, 75MHz-PM

• Shot noise limited sensitivity m/rHz at
  0.100000 Hz
• dem.ph L L-
  l l- ls
• SY f1 114 1.77e-019 -1.19e-015 1.11e-017
  1.90e-017 -2.74e-017
• SY f2 32 2.25e-018 -1.51e-014 1.75e-016
  2.04e-015 1.07e-015
• AS f1 -137 -4.15e-017 1.82e-019 9.42e-018
  6.07e-017 4.00e-015
• AS f2 32 -1.44e-017 6.29e-020 -8.98e-019
  2.09e-017 2.34e-015
• SY 7xf1 -101 3.48e-012 -2.05e-010
  1.27e-014 -6.94e-012 5.96e-014 SY f1 114
  1.77e-019 -1.19e-015 1.11e-017
  1.90e-017 -2.74e-017 SY f2 31
  2.25e-018 -1.51e-014 1.74e-016 -1.70e-016
  1.07e-015
• PO f1 25 -9.45e-019 1.92e-017
  1.14e-016 -1.53e-016 1.96e-016
• PO f2 -54 1.58e-018 -3.21e-017
  2.26e-016 -4.75e-017 -1.86e-015
• AS 7xf1 -52 -5.35e-013 7.69e-014 -9.73e-013
  2.63e-014 -1.76e-013
• SY f1 27 3.54e-018 -2.44e-014 2.12e-016
  2.14e-015 -5.00e-016
• SY f2 121 1.29e-016 6.05e-013 -1.89e-014
  1.13e-015 -1.28e-013
• AS f1 42 1.25e-016 -5.46e-019 -2.71e-017 -1
  .82e-016 -1.21e-014
• AS f2 32 -4.31e-017 1.89e-019 -2.77e-018
  6.27e-017 7.03e-015
• PO f1 118 1.83e-017 -3.72e-016 -2.14e-015
  8.27e-015 -2.09e-014
• PO f2 36 -2.53e-016 5.15e-015
  2.59e-018 -4.33e-015 1.86e-014

L L- l l- ls
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Cross coupling???????????????

• ???L-?l-??????????????f1?SDM??f2?SDM?????? L-
  l- 2/p Finesse 1 ? 300 1 ???
• ???????????????????????????????????

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TAMA RSE??????

1. ??????????????
2. ?????
3. ???????????
4. ?????????????????????????????????????(FINESSE???Op
   tickle??)
5. ?????????????????(e2e??)
6. PD?????
7. ??????(???????????????????????????)
8. ????
9. DC readout? (40m,eLIGO????)
10. ?????????????? (AdLIGO????????)

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???

• ??15MHz-PM, 75MMHz-PM
• ????DRMI????????30MHz?AM??????30MHz75MHz?Summatio
  n Demodulation??? (Acquisition mode)
• ?????15MHz?????????????
• ??????????????Single demodulation????? (Detection
  mode)
• ?????coupling??????Feed forward????????
• ??Quantum noise??????DC readout????