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==== Mode matching optical system of Green Lock System ==== = Mode matching optical system of Green Lock System =

<<TableOfContents(3)>>

-----

== Target beam parameter ==

=== Y-axis ===

||<|2>Mirror||<:-2>q-parameter||<:-2>waist radius [mm]||<:-2>beam radius [mm]||
||<:>q,,x,,||<:>q,,y,,||<:>W0,,x,,||<:>W0,,y,,||<:>W,,x,,||<:>W,,y,,||
||SR2 (AR-surface)||1.141436 + 0.026444i||1.145506 + 0.026587i||0.066919||0.067099||2.889234||2.891750||
||SR2 (HR-surface)||1.485931 + 0.040023i||1.488242 + 0.040171i||0.082325||0.082478||3.057627||3.056715||
||SR3 (Input)||12.597431 + 0.040024i||12.599742 + 0.040171i||0.082325||0.082478||25.912690||25.869443||
||BS (HR-surface)||-1017.395806 + 291.640196i||-1017.396204 + 291.640312i||7.027560||7.027562||25.503215||25.503220||
||ITMY (HR-surface)||<-2>-1500 + 774.596669i||<-2>11.452985||<-2>24.961202||
||ETMY (HR-surface)||<-2> 1500 + 774.596669i||<-2>11.452985||<-2>24.961202||

=== X-axis ===

||<|2>Mirror||<:-2>q-parameter||<:-2>waist radius [mm]||<:-2>beam radius [mm]||
||<:>q,,x,,||<:>q,,y,,||<:>W0,,x,,||<:>W0,,y,,||<:>W,,x,,||<:>W,,y,,||
||PR2 (AR-surface)||1.179513 + 0.026317i||1.181989 + 0.026422i||0.066757||0.066891||2.992774||2.993064||
||PR2 (HR-surface)||1.530937 + 0.039779i||1.533251 + 0.039928i||0.082075||0.082228||3.159777||3.158650||
||PR3 (Input)||12.597037 + 0.039779i||12.599351 + 0.039928i||0.082075||0.082228||25.991002||25.947259||
||BS (HR-surface)||-1024.352272 + 292.664734i||-1020.788469 + 291.640312i||7.039893||7.027562||25.626193||25.581808||
||ITMX (HR-surface)||<-2>-1500 + 774.596669i||<-2>11.452985||<-2>24.961202||
||ETMX (HR-surface)||<-2> 1500 + 774.596669i||<-2>11.452985||<-2>24.961202||

-----

== Mode matching optical system ==

__'''Conditions'''__

・ Waist radius of the beam from the fiber coupler = 350um (measured)

・ Optical path length from AR-surface of SR2/PR2 to the optical table ~ 2m

・ Assume CVI lenses

----

=== Back of SR2 ===

==== Pattern A (2 lenses) ====

{{attachment:GreenModeMatch_Y_2lens_170903.png|Mode matching optical system (back of SR2)|width="600"}}

==== Pattern B (3 lenses) ====

{{attachment:GreenModeMatch_y_3lens_170903.png|Mode matching optical system (back of SR2)|width="600"}}

==== Simulation of beam parameters using above optical system with FINESSE ====

||<|2>Mirror||<-2>q-parameter||<-2>Waist radius [mm]||<-2>Beam radius [mm]||
||qx||qy||W0x||W0y||Wx||Wy||
||Fiber coupler||<-2>0 + 0.723393i||<-2>0.350||<-2>0.350||
||L1 (Input)||<-2>0.095 + 0.723393i||<-2>0.350||<-2>0.353005||
||L1 (Output)||<-2>-0.108744 + 0.016016i||<-2>0.520787||<-2>0.357411||
||L2 (Input)||<-2>0.759744 + 0.016016i||<-2>0.520787||<-2>2.470960||
||L2 (Output)||<-2>-0.699938 + 36.041929i||<-2>2.470500||<-2>2.470966||
||L3 (Input)||<-2>1.324938 + 36.041929i||<-2>2.470500||<-2>2.472169||
||L3 (Output)||<-2>-0.973537 + 0.026516i||<-2>0.670087||<-2>2.461182||
||SR2 (AR)||<-2>1.143463 + 0.026516i||<-2>0.670087||<-2>2.890476||
||ITMy (HR)||-1463.290098 + 730.177686i||-1537.778046 + 823.090006i||11.119753||11.806048||24.904507||25.018072||
||ETMy (HR)||1536.709902 + 730.177686i||1462.221956 + 823.090006i||11.119753||11.806048||25.909775||24.068022||

=== Back of PR2 ===


-----


== Beam radius from the fiber coupler to arm cavity ==

=== Y-axis ===

==== Pattern A (2 lenses) ====

{{attachment:BeamRadius_FC_ITMY_2lens_170903.png|Y-axis Beam radius|width="800"}}
{{attachment:BeamRadius_FC_ETMY_2lens_170903.png|Y-axis Beam radius|width="800"}}

==== Pattern B (3 lenses) ====

{{attachment:BeamRadius_FC_ITMY_3lens_170903.png|Y-axis Beam radius|width="800"}}
{{attachment:BeamRadius_FC_ETMY_3lens_170903.png|Y-axis Beam radius|width="800"}}

=== X-axis ===

Mode matching optical system of Green Lock System

Contents

  1. Mode matching optical system of Green Lock System
    1. Target beam parameter
      1. Y-axis
      2. X-axis
    2. Mode matching optical system
      1. Back of SR2
      2. Back of PR2
    3. Beam radius from the fiber coupler to arm cavity
      1. Y-axis
      2. X-axis

Target beam parameter

Y-axis

Mirror

q-parameter

waist radius [mm]

beam radius [mm]

qx

qy

W0x

W0y

Wx

Wy

SR2 (AR-surface)

1.141436 + 0.026444i

1.145506 + 0.026587i

0.066919

0.067099

2.889234

2.891750

SR2 (HR-surface)

1.485931 + 0.040023i

1.488242 + 0.040171i

0.082325

0.082478

3.057627

3.056715

SR3 (Input)

12.597431 + 0.040024i

12.599742 + 0.040171i

0.082325

0.082478

25.912690

25.869443

BS (HR-surface)

-1017.395806 + 291.640196i

-1017.396204 + 291.640312i

7.027560

7.027562

25.503215

25.503220

ITMY (HR-surface)

-1500 + 774.596669i

11.452985

24.961202

ETMY (HR-surface)

1500 + 774.596669i

11.452985

24.961202

X-axis

Mirror

q-parameter

waist radius [mm]

beam radius [mm]

qx

qy

W0x

W0y

Wx

Wy

PR2 (AR-surface)

1.179513 + 0.026317i

1.181989 + 0.026422i

0.066757

0.066891

2.992774

2.993064

PR2 (HR-surface)

1.530937 + 0.039779i

1.533251 + 0.039928i

0.082075

0.082228

3.159777

3.158650

PR3 (Input)

12.597037 + 0.039779i

12.599351 + 0.039928i

0.082075

0.082228

25.991002

25.947259

BS (HR-surface)

-1024.352272 + 292.664734i

-1020.788469 + 291.640312i

7.039893

7.027562

25.626193

25.581808

ITMX (HR-surface)

-1500 + 774.596669i

11.452985

24.961202

ETMX (HR-surface)

1500 + 774.596669i

11.452985

24.961202

Mode matching optical system

Conditions

・ Waist radius of the beam from the fiber coupler = 350um (measured)

・ Optical path length from AR-surface of SR2/PR2 to the optical table ~ 2m

・ Assume CVI lenses

Back of SR2

Pattern A (2 lenses)

Mode matching optical system (back of SR2)

Pattern B (3 lenses)

Mode matching optical system (back of SR2)

Simulation of beam parameters using above optical system with FINESSE

Mirror

q-parameter

Waist radius [mm]

Beam radius [mm]

qx

qy

W0x

W0y

Wx

Wy

Fiber coupler

0 + 0.723393i

0.350

0.350

L1 (Input)

0.095 + 0.723393i

0.350

0.353005

L1 (Output)

-0.108744 + 0.016016i

0.520787

0.357411

L2 (Input)

0.759744 + 0.016016i

0.520787

2.470960

L2 (Output)

-0.699938 + 36.041929i

2.470500

2.470966

L3 (Input)

1.324938 + 36.041929i

2.470500

2.472169

L3 (Output)

-0.973537 + 0.026516i

0.670087

2.461182

SR2 (AR)

1.143463 + 0.026516i

0.670087

2.890476

ITMy (HR)

-1463.290098 + 730.177686i

-1537.778046 + 823.090006i

11.119753

11.806048

24.904507

25.018072

ETMy (HR)

1536.709902 + 730.177686i

1462.221956 + 823.090006i

11.119753

11.806048

25.909775

24.068022

Back of PR2

Beam radius from the fiber coupler to arm cavity

Y-axis

Pattern A (2 lenses)

Y-axis Beam radius Y-axis Beam radius

Pattern B (3 lenses)

Y-axis Beam radius Y-axis Beam radius

X-axis

ModeMatch (last edited 2018-03-27 09:54:33 by KazuyaYokogawa)