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{{attachment:ビーム径の変化.png|Y-axis Beam radius|width="800"}} {{attachment:BeamRadius_y_3lens_170830.pdf|Y-axis Beam radius|width="800"}}

Mode matching optical system of Green Lock System


Target beam parameter

X-axis

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


Mode matching optical system

Conditions

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

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

・ Assume CVI 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


Beam radius from the fiber coupler to arm cavity

Y-axis Beam radius

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