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Deletions are marked like this. Additions are marked like this.
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{{attachment:MIF-diagram.png|MIF Diagram|width=800}} {{attachment:MIF-diagram.png|MIF Diagram|width="800"}}
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=== g1=0.994, g2=0.571, 16.875MHz, 45MHz === Note: In this figure POP is taken at the transmission of PR3, because it is easier to draw. In reality, POP will be taken at the transmission of PR2 (beam from PR3 to PR2).
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For more accurate optical layout, please refer to the [[https://gwdoc.icrr.u-tokyo.ac.jp/cgi-bin/private/DocDB/ShowDocument?docid=2379|CAD drawings]].

----
=== ITM=1.9km, ETM=1.9km, PRC=16.5deg, SRC=17.5deg, 16.875MHz, 45MHz ===
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Lengths & Frequencies
||f1||16.881370MHz (3*f2/8)||f2||45.016989MHz||f3||56.271236MHz (10*f2/8)||
||Larm||3000.0m||Lmc||26.638m||||||
||Lprc||66.5863m||Lsrc||66.5924m||Las||3.3298m||
||Lp1||14.75854||Lp2||12.0657m||Lp3||14.7621m||
||Lmi||25m||Lmx||26.6649m||Lmy||23.3351m||
||Ls1||14.75854m||Ls2||12.0657m||Ls3||14.7621m||
||Folding angle||0.6957[deg]||||||||||		 ==== Lengths & Frequencies ====
||f1 ||16.880962MHz (3*f2/8) ||f2 ||45.015898MHz ||f3 ||56.269873MHz (10*f2/8) ||
||Larm ||3000.0m ||Lmc ||26.639m ||||<style="text-align:center"> ||
||Lprc ||66.591m ||Lsrc ||66.591m ||Las ||3.3299m ||
||Lp1 ||14.7615 ||Lp2 ||11.0661m ||Lp3 ||15.7638m ||
||Lmi ||25m ||Lmx ||26.6649m ||Lmy ||23.3351m ||
||Ls1 ||14.7412m ||Ls2 ||11.1115m ||Ls3 ||15.7386m ||
||Folding Angle ||??? deg ||||||||<style="text-align:center"> ||
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Folding angle is an incident angle of the beam
to the folding mirrors. The angle between incoming and reflected beams is twice the folding angle.
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Radius of Curvatures (Positive for concave) Folding angle is an incident angle of the beam to the folding mirrors. The angle between incoming and reflected beams is twice the folding angle.
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||ITM||>500km||ETM||7000.0m||||||
||PRM||313.8788m||PR2||-3.2547m||PR3||27.36m||
||SRM||313.8788m||SR2||-3.2547m||SR3||27.36m||		 ==== Radius of Curvatures (Positive for concave) ====
||ITM ||1900.0m ||ETM ||1900.0m ||||<style="text-align:center"> ||
||PRM ||458.1285m ||PR2 ||-3.0764m ||PR3 ||24.9165m ||
||SRM ||458.1285m ||SR2 ||-2.9872m ||SR3 ||24.9165m ||
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Beam Spot Size (1/e^2 radius)
||PRM||4.046mm||PR2||4.046mm||PR3||34.242mm||
||SRM||4.046mm||SR2||4.046mm||SR3||34.242mm||
 
Lens effect (effective focal length seen from the AR side)
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||ITM (Sapphire)||>666km||
||PRM (Silica)||>10000km||		 ==== Beam Spot Size (1/e^2 radius) ====
||ITM ||35.3mm ||ETM ||35.3mm ||||<style="text-align:center"> ||
||PRM ||4.457mm ||PR2 ||4.457mm ||PR3 ||36.639mm ||
||SRM ||4.308mm ||SR2 ||4.328mm ||SR3 ||36.666mm ||
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=== g1=g2=0.586, 11.25MHz, 45MHz ===
This is an alternative parameter set.
Do not use these parameters.
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Lengths & Frequencies
||f1||11.255822MHz||f2||45.023289MHz||f3||39.395378MHz||
||Larm||3000.0m||Lmc||26.634m||||||
||Lprc||73.24838m||Lsrc||73.24838m||Las||3.3293m||
||Lp1||16.9798m||Lp2||14.2858m||Lp3||16.9828m||
||Lmi||25m||Lmx||26.66465m||Lmy||23.33535m||
||Ls1||16.9798m||Ls2||14.2858m||Ls3||16.9828m||		 ----
== Mirror Specs ==
See, also, http://gwwiki.icrr.u-tokyo.ac.jp/optics/database.cgi .
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Radius of Curvatures (Positive for concave) === Test Masses ===
'''ITM'''
||Diameter ||220mm || ||
||Thickness ||150mm || ||
||HR Radius of Curvature ||1.90(+/-0.0095)km ||0.5% error ||
||AR Radius of Curvature ||Flat (>100km) ||As flat as possible ||
||AR Wedge Angle ||0.025+0/-0.002deg ||Wedge direction: seen from the HR surface, 9 o'clock is thickest for both ITMX and ITMY. ||
||Transmission@1064nm ||0.004 +0.001/-0.0 || ||
||Transmission asymmetry@1064nm ||2*|(T1-T2)/(T1+T2)| < 0.01 ||T1 and T2 are the transmission of two ITMs ||
||HR Loss@1064nm ||<45ppm || ||
||Transmission@532nm ||0.06(+0/-0.005) ||Transmission of ITM must be larger than ETM@532nm ||
||Transmission asymmetry@532nm ||No requirement || ||
||HR Loss@532nm ||<1% || ||
||AR Reflectivity@1064nm ||200(+100/-0)ppm || ||
||AR Reflectivity@532nm ||<5% ||As small as possible ||
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||ITM||7246.3768m||ETM||7246.3768m||||||
||PRM||361.552m||PR2||-3.985m||PR3||32.4m||
||SRM||361.552m||SR2||-3.985m||SR3||32.4m||
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Beam Spot Size (1/e^2 radius)
||PRM||4.355mm||PR2||4.355mm||PR3||35.77mm||
||SRM||4.355mm||SR2||4.355mm||SR3||35.77mm||
 
Lens effect (effective focal length seen from the AR side)
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||ITM (Sapphire)||-9610m||
||PRM (Silica)||-765.6m||
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== Mirror Specs == '''ETM'''
||Diameter ||220mm || ||
||Thickness ||150mm || ||
||HR Radius of Curvature ||1.9(+/-0.0095)km ||0.5% error ||
||AR Radius of Curvature ||Flat (>100km) ||As flat as possible ||
||AR Wedge Angle ||0.05+/-0.01deg ||Wedge direction: Seen from the HR surface, 3 o'clock is thickest for ETMX, 9 o'clock is thickest for ETMY. ||
||Transmission@1064nm ||5ppm < T < 10ppm || ||
||Transmission asymmetry@1064nm ||2*|(T1-T2)/(T1+T2)| < 0.01 ||Best Effort ||
||HR Loss@1064nm ||<45ppm || ||
||Transmission@532nm ||0.06(+0/-0.005) ||Transmission of ETM must be smaller than ITM@532nm ||
||Transmission asymmetry@532nm ||No requirement || ||
||HR Loss@532nm ||<1% || ||
||AR Reflectivity@1064nm ||<50ppm || ||
||AR Reflectivity@532nm ||<5% ||As small as possible ||




'''BS'''
||Diameter ||370mm +/- 0.25mm || ||
||Thickness ||80mm +/- 0.5mm || ||
||HR Radius of Curvature ||Flat (>500km) ||As flat as possible ||
||AR Radius of Curvature ||Flat (>500km) ||As flat as possible ||
||AR Wedge Angle ||0.08+0/-0.01deg || ||
||Incident Angle ||44.9684deg +/-0.05deg || ||
||Transmission@1064nm ||50% +/-1% || ||
||HR Loss@1064nm ||<100ppm || ||
||Transmission@532nm ||>0.9 ||(99.40% for s-pol, 97.85% for p-pol designed) ||
||HR Loss@532nm ||<1% || ||
||AR Reflectivity@1064nm ||<50ppm || ||
||AR Reflectivity@532nm ||<5% ||As small as possible ||




'''PRM'''
||Diameter ||250mm || ||
||Thickness ||100mm || ||
||HR Radius of Curvature ||458.1285m(+/-20)m ||5% error ||
||AR Radius of Curvature ||Flat (>100km) ||As flat as possible ||
||AR Wedge Angle ||1.999 deg ||measured||
||Transmission@1064nm ||0.1(+0.001/-0.0) ||measured to be 0.1035||
||HR Loss@1064nm ||<45ppm || ||
||AR Reflectivity@1064nm ||<50ppm || ||




'''PR2'''
||Diameter ||250mm || ||
||Thickness ||100mm || ||
||HR Radius of Curvature ||-3.0764(+/-0.01)m || ||
||AR Radius of Curvature ||Flat (>100km) ||As flat as possible ||
||AR Wedge Angle ||2.042 deg ||measured ||
||Transmission@1064nm ||500ppm(+/-50ppm) || ||
||HR Loss@1064nm ||<45ppm || ||
||Transmission@532nm ||> 0.5 ||As large as possible (0.9 measured with witness sample at 0deg) ||
||HR Loss@532nm ||<10% || ||
||AR Reflectivity@1064nm ||<1000ppm ||As small as possible ||
||AR Reflectivity@532nm ||<5% ||As small as possible ||




'''PR3'''
||Diameter ||250mm || ||
||Thickness ||100mm || ||
||HR Radius of Curvature ||24.9165(+/-0.01)m || ||
||AR Radius of Curvature ||Flat (>100km) ||As flat as possible ||
||AR Wedge Angle ||2.019 deg ||measured ||
||Transmission@1064nm ||<50ppm ||As small as possible ||
||HR Loss@1064nm ||<45ppm || ||
||Transmission@532nm ||< 0.1 ||As small as possible ||
||HR Loss@532nm ||<10% || ||
||AR Reflectivity@1064nm ||<1000ppm ||As small as possible ||
||AR Reflectivity@532nm ||<5% ||As small as possible ||




'''SRM'''
||Diameter ||250mm || ||
||Thickness ||100mm || ||
||HR Radius of Curvature ||458.1285m(+/-20)m ||5% error ||
||AR Radius of Curvature ||Flat (>100km) ||As flat as possible ||
||AR Wedge Angle ||1.997 deg ||measured||
||Transmission@1064nm ||0.1536(+/-0.001) || ||
||HR Loss@1064nm ||<45ppm || ||
||AR Reflectivity@1064nm ||<50ppm || ||




'''SR2'''
||Diameter ||250mm || ||
||Thickness ||100mm || ||
||HR Radius of Curvature ||-2.9872(+/-0.01)m || ||
||AR Radius of Curvature ||Flat (>100km) ||As flat as possible ||
||AR Wedge Angle ||2.096 deg ||measured ||
||Transmission@1064nm ||500ppm(+/-50ppm) || ||
||HR Loss@1064nm ||<45ppm || ||
||Transmission@532nm ||> 0.5 ||As large as possible (0.9 measured with witness sample at 0deg) ||
||HR Loss@532nm ||<10% || ||
||AR Reflectivity@1064nm ||<1000ppm ||As small as possible ||
||AR Reflectivity@532nm ||<5% ||As small as possible ||




'''SR3'''
||Diameter ||250mm || ||
||Thickness ||100mm || ||
||HR Radius of Curvature ||24.9165(+/-0.01)m || ||
||AR Radius of Curvature ||Flat (>100km) ||As flat as possible ||
||AR Wedge Angle ||2.026 deg ||measured ||
||Transmission@1064nm ||<50ppm ||As small as possible ||
||HR Loss@1064nm ||<45ppm || ||
||Transmission@532nm ||< 0.1 ||As small as possible ||
||HR Loss@532nm ||<10% || ||
||AR Reflectivity@1064nm ||<1000ppm ||As small as possible ||
||AR Reflectivity@532nm ||<5% ||As small as possible ||

Actual Optical Parameters of the Main Interferometer

Contents

  1. Actual Optical Parameters of the Main Interferometer
    1. Optical Parameters
      1. Interferometer Diagram
      2. ITM=1.9km, ETM=1.9km, PRC=16.5deg, SRC=17.5deg, 16.875MHz, 45MHz
    2. Mirror Specs
      1. Test Masses

Optical Parameters

Interferometer Diagram

MIF Diagram

Note: In this figure POP is taken at the transmission of PR3, because it is easier to draw. In reality, POP will be taken at the transmission of PR2 (beam from PR3 to PR2).

For more accurate optical layout, please refer to the CAD drawings.

ITM=1.9km, ETM=1.9km, PRC=16.5deg, SRC=17.5deg, 16.875MHz, 45MHz

This is the parameter set chosen by the MIF group.

Lengths & Frequencies

f1

16.880962MHz (3*f2/8)

f2

45.015898MHz

f3

56.269873MHz (10*f2/8)

Larm

3000.0m

Lmc

26.639m

Lprc

66.591m

Lsrc

66.591m

Las

3.3299m

Lp1

14.7615

Lp2

11.0661m

Lp3

15.7638m

Lmi

25m

Lmx

26.6649m

Lmy

23.3351m

Ls1

14.7412m

Ls2

11.1115m

Ls3

15.7386m

Folding Angle

??? deg

Folding angle is an incident angle of the beam to the folding mirrors. The angle between incoming and reflected beams is twice the folding angle.

Radius of Curvatures (Positive for concave)

ITM

1900.0m

ETM

1900.0m

PRM

458.1285m

PR2

-3.0764m

PR3

24.9165m

SRM

458.1285m

SR2

-2.9872m

SR3

24.9165m

Beam Spot Size (1/e^2 radius)

ITM

35.3mm

ETM

35.3mm

PRM

4.457mm

PR2

4.457mm

PR3

36.639mm

SRM

4.308mm

SR2

4.328mm

SR3

36.666mm

Mirror Specs

See, also, http://gwwiki.icrr.u-tokyo.ac.jp/optics/database.cgi .

Test Masses

ITM

Diameter

220mm

Thickness

150mm

HR Radius of Curvature

1.90(+/-0.0095)km

0.5% error

AR Radius of Curvature

Flat (>100km)

As flat as possible

AR Wedge Angle

0.025+0/-0.002deg

Wedge direction: seen from the HR surface, 9 o'clock is thickest for both ITMX and ITMY.

Transmission@1064nm

0.004 +0.001/-0.0

Transmission asymmetry@1064nm

2*|(T1-T2)/(T1+T2)| < 0.01

T1 and T2 are the transmission of two ITMs

HR Loss@1064nm

<45ppm

Transmission@532nm

0.06(+0/-0.005)

Transmission of ITM must be larger than ETM@532nm

Transmission asymmetry@532nm

No requirement

HR Loss@532nm

<1%

AR Reflectivity@1064nm

200(+100/-0)ppm

AR Reflectivity@532nm

<5%

As small as possible

ETM

Diameter

220mm

Thickness

150mm

HR Radius of Curvature

1.9(+/-0.0095)km

0.5% error

AR Radius of Curvature

Flat (>100km)

As flat as possible

AR Wedge Angle

0.05+/-0.01deg

Wedge direction: Seen from the HR surface, 3 o'clock is thickest for ETMX, 9 o'clock is thickest for ETMY.

Transmission@1064nm

5ppm < T < 10ppm

Transmission asymmetry@1064nm

2*|(T1-T2)/(T1+T2)| < 0.01

Best Effort

HR Loss@1064nm

<45ppm

Transmission@532nm

0.06(+0/-0.005)

Transmission of ETM must be smaller than ITM@532nm

Transmission asymmetry@532nm

No requirement

HR Loss@532nm

<1%

AR Reflectivity@1064nm

<50ppm

AR Reflectivity@532nm

<5%

As small as possible

BS

Diameter

370mm +/- 0.25mm

Thickness

80mm +/- 0.5mm

HR Radius of Curvature

Flat (>500km)

As flat as possible

AR Radius of Curvature

Flat (>500km)

As flat as possible

AR Wedge Angle

0.08+0/-0.01deg

Incident Angle

44.9684deg +/-0.05deg

Transmission@1064nm

50% +/-1%

HR Loss@1064nm

<100ppm

Transmission@532nm

>0.9

(99.40% for s-pol, 97.85% for p-pol designed)

HR Loss@532nm

<1%

AR Reflectivity@1064nm

<50ppm

AR Reflectivity@532nm

<5%

As small as possible

PRM

Diameter

250mm

Thickness

100mm

HR Radius of Curvature

458.1285m(+/-20)m

5% error

AR Radius of Curvature

Flat (>100km)

As flat as possible

AR Wedge Angle

1.999 deg

measured

Transmission@1064nm

0.1(+0.001/-0.0)

measured to be 0.1035

HR Loss@1064nm

<45ppm

AR Reflectivity@1064nm

<50ppm

PR2

Diameter

250mm

Thickness

100mm

HR Radius of Curvature

-3.0764(+/-0.01)m

AR Radius of Curvature

Flat (>100km)

As flat as possible

AR Wedge Angle

2.042 deg

measured

Transmission@1064nm

500ppm(+/-50ppm)

HR Loss@1064nm

<45ppm

Transmission@532nm

> 0.5

As large as possible (0.9 measured with witness sample at 0deg)

HR Loss@532nm

<10%

AR Reflectivity@1064nm

<1000ppm

As small as possible

AR Reflectivity@532nm

<5%

As small as possible

PR3

Diameter

250mm

Thickness

100mm

HR Radius of Curvature

24.9165(+/-0.01)m

AR Radius of Curvature

Flat (>100km)

As flat as possible

AR Wedge Angle

2.019 deg

measured

Transmission@1064nm

<50ppm

As small as possible

HR Loss@1064nm

<45ppm

Transmission@532nm

< 0.1

As small as possible

HR Loss@532nm

<10%

AR Reflectivity@1064nm

<1000ppm

As small as possible

AR Reflectivity@532nm

<5%

As small as possible

SRM

Diameter

250mm

Thickness

100mm

HR Radius of Curvature

458.1285m(+/-20)m

5% error

AR Radius of Curvature

Flat (>100km)

As flat as possible

AR Wedge Angle

1.997 deg

measured

Transmission@1064nm

0.1536(+/-0.001)

HR Loss@1064nm

<45ppm

AR Reflectivity@1064nm

<50ppm

SR2

Diameter

250mm

Thickness

100mm

HR Radius of Curvature

-2.9872(+/-0.01)m

AR Radius of Curvature

Flat (>100km)

As flat as possible

AR Wedge Angle

2.096 deg

measured

Transmission@1064nm

500ppm(+/-50ppm)

HR Loss@1064nm

<45ppm

Transmission@532nm

> 0.5

As large as possible (0.9 measured with witness sample at 0deg)

HR Loss@532nm

<10%

AR Reflectivity@1064nm

<1000ppm

As small as possible

AR Reflectivity@532nm

<5%

As small as possible

SR3

Diameter

250mm

Thickness

100mm

HR Radius of Curvature

24.9165(+/-0.01)m

AR Radius of Curvature

Flat (>100km)

As flat as possible

AR Wedge Angle

2.026 deg

measured

Transmission@1064nm

<50ppm

As small as possible

HR Loss@1064nm

<45ppm

Transmission@532nm

< 0.1

As small as possible

HR Loss@532nm

<10%

AR Reflectivity@1064nm

<1000ppm

As small as possible

AR Reflectivity@532nm

<5%

As small as possible

LCGT/subgroup/ifo/MIF/OptParam (last edited 2021-12-22 14:33:51 by YoichiAso)