Precision Tilt and Radius of Curvature Sensor Using Double-Pass AOM

2013. 6. 10.

Kyuman Cho

Department of PhysicsSogang University

Overview

I. Introduction

II. Tilt Sensor Using AOM

III. Experimental Results

IV. Local Slope Profiler

V. Summery

IntroductionA precision tilt sensor has many applications

Initial tilt alignment of mirrors for KAGRA,Scanning slope profiler,Torsion measurements,And other scientific and high-tech applications

We are proposing a new precision tilt sensor using double-pass AOM interferometer

High sensitivity: between ~Hz and 100Hz Has simple optical arrangementCan be integrated into a hybrid fiber-optic sensorImmune to environmental perturbations

The same sensor can be used for mapping local slope variations of a mirror with large RoC.

Introduction: Previous WorksQuasi-Collimator Using Weak Value Amplification (M.D. Turner et al., Opt. Lett., 36, 1479 ) Sensitivity: between 10 and 100 Hz

Sensitivity: between at 2.4 kHz Hz

11 bounces

Optical lever inside a Sagnac Interferometer (J.M. Hogan et al., Opt. Lett., 36, 1698 )

Introduction: Previous Works

Double-Pass AOM Intterferometer

Youngkyu Park, Kyuman Cho, OPTICS LETTERS / Vol. 36, No. 3 / February 1, 2011

f f

IncidentBeam

PBS QWP

Lens

AOM

M

M

d

L

1tan ( )Ld

Tilt Sensor Arrangement

-0.5 0.0 0.5 1.0 1.5 2.0 2.5 3.0

0

20

40

60

80

Inte

nsity

(%)

Position (mm)

Beam Separation at focal plane: d = 0.945mm

CCD Beam profiler image

0.945mm

Experimental Results

Experimental Results: Directional Tilt

pivot line1

pivot line2

0 45 90 135 180-140

-120

-100

-80

-60

-40

-20

0

Frequency

dBPivot line1

Pivot line2

Pivot line1 = 45Hz

Pivot line2 = 85Hz

~ 33dB

Driven angle variance ~0.27 rad

~ 85dB

0.000 0.005 0.010 0.015 0.020 0.025 0.030

0.000

0.005

0.010

0.015

0.020

0.025

0.030

Expected angle Measured angle

Applied angle (rad.)

Mea

sure

d an

gle(

rad.

)

Motorized Rotation stage

Experimental Results: Linearity

1 10 1001E-12

1E-11

1E-10

1E-9

1E-8

1E-7An

gle(

rad*

Hz-1

/2)

Freaquency(Hz)

Applied Tilt

Sensitivity: between a few Hz and 100 HzCan provide almost photon noise limited sensitivity

Experimental Results

Opt. Lett., 36, 1479

Work of M. D. Turner et al.

Work of J. M. Hogan et al.Opt. Lett., 36, 1968

DC stability is measured by using a fixed mirror

Stability

0 10 20 30 40 50 60

-4

-3

-2

-1

0

1

X 10-4

SD = 7.6E-5

Phas

e ch

ange

(rad

.)

Time (min)

Fixed Mirror

To Detector

Laser

Excellent DC Stability! 4 810 rad. 10 rad.

AOM

Experimental Results

Measurement of lateral motion rejection using a displace mirror

Measurement resultDisplaced Mirror

To Detector

Laser AOM8mm

0 2 4 6 8 10-1.4

-1.2

-1.0

-0.8

-0.6

-0.4

-0.2

0.0

0.2

Phas

e(ra

d)

Displacement(mm)

-1.16 rad(~58nm)

Experimental Results

Scanning Local Slope ProfilerFor a mirror with 2km RoC and 1mm beam separation, the slope at the center of mirror is .5 , which can be measured by using the same arrangement.The slope of the mirror at distance from O is . The position dependent RoC can be mapped by scanning the beams over the surface of the mirror.Raster scan or radial scan can be used for mapping local slopes of a curved surface.Only sensitive to the tilt parallel to the direction of scanningInsensitive to lateral vibrations while scanningIndependent of amplitude changes

Scanning Local Slope Profiler

R

x

Point by point scanning scheme for mapping local slope of the mirror

SummaryA double-pass AOM interferometer scheme has been used for precision tilt measurements

Can provide very high sensitivity,Highly immune to environmental perturbations

Application of our new scheme has been discussed Initial tilt alignment of mirrors for KAGRA,Local slope profiler for mirrorsPotentially, a tilt sensor for TOBA