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

Last modified : 2017/09/04

<<TableOfContents(4)>>

------

== 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"}}

||<|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>0.220 + 0.723393i||<-2>0.350||<-2>0.365828||
||L1 (Output)||<-2>-0.108344 + 0.015935i||<-2>0.051947||<-2>0.356989||
||L2 (Input)||<-2>0.759858 + 0.016086i||<-2>0.051947||<-2>2.199920||
||L2 (Output)||<-2>-0.865307 + 0.026488i||<-2>0.066974||<-2>2.188928||
||SR2 (AR)||<-2>1.143693 + 0.026488i||<-2>0.066974||<-2>2.892571||
||SR2 (HR)||1.489013 + 0.040119i||1.485169 + 0.039991i||0.082425||0.082292||3.060270||3.057282||
||ITMy (HR)||-1463.753784 + 729.531387i||-1538.350364 + 822.405327i||11.114831||11.801137||24.917463||25.031092||
||ETMy (HR)||1536.246216 + 729.531387i||1461.649636 + 822.405327i||11.114831||11.801137||25.910643||24.066063||

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

||<|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>0.089 + 0.723393i||<-2>0.350||<-2>0.352639||
||L1 (Output)||<-2>0.108858 + 0.016086i||<-2>0.052192||<-2>0.357035||
||L2 (Input)||<-2>0.759858 + 0.016086i||<-2>0.052192||<-2>2.465986||
||L2 (Output)||<-2>0.434746 + 35.905184i||<-2>2.465809||<-2>2.465990||
||L3 (Input)||<-2>1.019746 + 35.905184i||<-2>2.465809||<-2>2.466803||
||L3 (Output)||<-2>-0.973312 + 0.026619i||<-2>0.067139||<-2>2.455838||
||SR2 (AR)||<-2>1.143688 + 0.026619i||<-2>0.067139||<-2>2.885427||
||SR2 (HR)||1.489002 + 0.040318i||1.485159 + 0.040189i||0.082629||0.082496||3.052712||3.049731||
||ITMy (HR)||-1461.017819 + 731.892574i||-1535.118889 + 824.885592i||11.132804||11.818919||24.856063||24.969411||
||ETMy (HR)||1538.982181 + 731.892574i||1464.881111 + 824.885592i||11.132804||11.818919||25.921818||24.087634||

{{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"}}

-----

=== Back of PR2 ===



------

== Lens displacement ==

=== Y-axis ===

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

[[attachment:GreenModeMatch_2lens_170904.pdf]]

----

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

[[attachment:GreenModeMatch_3lens_170904.pdf]]


-----


=== X-axis ===

Mode matching optical system of Green Lock System

Last modified : 2017/09/04


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)

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)

0.220 + 0.723393i

0.350

0.365828

L1 (Output)

-0.108344 + 0.015935i

0.051947

0.356989

L2 (Input)

0.759858 + 0.016086i

0.051947

2.199920

L2 (Output)

-0.865307 + 0.026488i

0.066974

2.188928

SR2 (AR)

1.143693 + 0.026488i

0.066974

2.892571

SR2 (HR)

1.489013 + 0.040119i

1.485169 + 0.039991i

0.082425

0.082292

3.060270

3.057282

ITMy (HR)

-1463.753784 + 729.531387i

-1538.350364 + 822.405327i

11.114831

11.801137

24.917463

25.031092

ETMy (HR)

1536.246216 + 729.531387i

1461.649636 + 822.405327i

11.114831

11.801137

25.910643

24.066063

Y-axis Beam radius Y-axis Beam radius


Pattern B (3 lenses)

Mode matching optical system (back of SR2)

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)

0.089 + 0.723393i

0.350

0.352639

L1 (Output)

0.108858 + 0.016086i

0.052192

0.357035

L2 (Input)

0.759858 + 0.016086i

0.052192

2.465986

L2 (Output)

0.434746 + 35.905184i

2.465809

2.465990

L3 (Input)

1.019746 + 35.905184i

2.465809

2.466803

L3 (Output)

-0.973312 + 0.026619i

0.067139

2.455838

SR2 (AR)

1.143688 + 0.026619i

0.067139

2.885427

SR2 (HR)

1.489002 + 0.040318i

1.485159 + 0.040189i

0.082629

0.082496

3.052712

3.049731

ITMy (HR)

-1461.017819 + 731.892574i

-1535.118889 + 824.885592i

11.132804

11.818919

24.856063

24.969411

ETMy (HR)

1538.982181 + 731.892574i

1464.881111 + 824.885592i

11.132804

11.818919

25.921818

24.087634

Y-axis Beam radius Y-axis Beam radius


Back of PR2


Lens displacement

Y-axis

Pattern A (2 lenses)

GreenModeMatch_2lens_170904.pdf


Pattern B (3 lenses)

GreenModeMatch_3lens_170904.pdf


X-axis

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