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Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

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Page 1: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Sora

HEPL Seminar

Feb. 11, 2009 @ Stanford Univ.

Seiji Kawamura

(National Astronomical Observatory of Japan)

Page 2: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Outline

Gravitational waveDECIGODECIGO pathfinderSummaryAppendix

– Displacement noise free interferometer– Juggling interferometer

Page 3: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Distortion of space ~ 10-23

Not yet detected!

• Predicted by Einstein• Emitted from accelerating objects• Propagates as tidal distortion of space

Gravitational wave

Page 4: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

GW Sources

• Neutron star / black hole binaries

• Supernova

• Beginning of the universe

• Etc.

Page 5: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

380,000 year(Transparent to

radiation)

EM1 sec(Formation of

Proton, Neutron)

Neutrino

How far (old) can we see?

Beginning ofthe universe

13.7 billion year(Now)

GW

10 -43 sec(Planck time)

Page 6: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Gravitational wave astronomy

Page 7: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Detection of GWby laser interferometer

Laser

Interfering beam

Beam splitter

Suspended Mirror Suspended Mirror

Detector

Page 8: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

The longer arm length gives larger signals!

Laser

Photodetector

Mirror

Mirror

Laser

Photodetector

Mirror

Mirror

Page 9: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Large-scale detectors

LIGO (4 km)

LIGO (4 km)

VIRGO (3 km)

GEO (600 m)

TAMA (300 m)

CLIO (100 m)

LCGT (3 km)

Page 10: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Recycling mirror:

Increase effective

laser power

Standard optical configuration

Fabry-P

ero

t arm

cavity

Fabry-Perot arm

cavity

Enhance GW signals

Page 11: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Laser Interferometer in Space

• Signal increased - Due to longer interaction between GW and light - Cancellation of signals at higher frequencies

• Noise reduced - Lower seismic noise and gravity gradient noise

Sensitivity improvedat lower frequencies

Page 12: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

LISA• Arm length: 5,000,000km• Frequency range: 1 mHz - 0.1 Hz• Target Source: White dwarf binary, Giant BH coalescen

ce• Optical configuration: Light transponder

LISA project

Page 13: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

What is DECIGO?Deci-hertz Interferometer Gravitational Wave Observatory

(Kawamura, et al., CQG 23 (2006) S125-S131) Bridges the gap between LISA and terrestrial detectors Low confusion noise -> Extremely high sensitivity

10-18

10-24

10-22

10-20

10-4 10410210010-2

Frequency [Hz]

Str

ain

[H

z-1/2]

LISA

DECIGO

Terrestrial detectors (e.g. LCGT)

Confusion Noise

moved above

LISA band To be moved

into TD band

Page 14: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Pre-conceptual designDifferential FP interferometer

Arm length: 1000 kmMirror diameter: 1 mLaser wavelength: 0.532 mFinesse: 10Laser power: 10 WMirror mass: 100 kgS/C: drag free3 interferometers

Laser

Photo-detector

Arm cavity

Drag-free S/C

Arm cavity

Mirror

Page 15: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Why FP cavity?

Frequency

Str

ain

Radiation pressure

noise f -2

Shot noiseShot n

oise

f1Transponder type(e.g. LISA)

Shot noise

Shortenarm length

Shot nois

e f1

Radiation pressure

noise f -2

Transponder type(e.g. LISA) Shorten

arm length Implement FP cavity

Implement FP cavity

FP cavity type Better best- sensitivity

Page 16: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Drag free and FP cavity: compatible?

Mirror

S/C IS/C II

Page 17: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

FP cavity and drag free : compatible?

Local sensor

ThrusterThruster

Mirror

Relative position between mirror

and S/C

S/C II S/C I

Page 18: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Drag free and FP cavity: compatible?

Local sensor

ThrusterThruster

Mirror

Relative position between mirror

and S/C

Actuator

Interferometer output (GW signal)

S/C II S/C I

No signalmixture

Page 19: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Orbit and constellation (preliminary)

Sun

Earth

Record disk

Increase angular resolution

Correlation for stochastic background

Page 20: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Science by DECIGO (1)

Formation of Super-

massive BH

Frequency [Hz]

Str

ain

[H

z-1/ 2]

10-3 10-2 10-1 1 10 102 103

10-19

10-20

10-21

10-22

10-23

10-24

10-25

10-26

(1000 M◎ z=1)

BH binary

Coalescence

Radiation pressure noise

Shot noise

1 cluster

Page 21: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Science by DECIGO (2)

Frequency [Hz]

Str

ain

[H

z-1/ 2]

10-3 10-2 10-1 1 10 102 103

10-19

10-20

10-21

10-22

10-23

10-24

10-25

10-26

5 years

NS binary (z=1)

Coalescence

3 months

Acceleration of Universe

⇓Dark energy

Radiation pressure noise

Shot noise

1 cluster

Page 22: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Acceleration of Expansion of the Universe

NS-NS (z~ 1)GW

DECIGO

Output

Expansion + Acceleration?

Time

Str

ain

Template (No Acceleration)

Real Signal ?Phase Delay~ 1sec (10 years)

Seto, Kawamura, Nakamura, PRL 87, 221103 (2001)

Page 23: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Science by DECIGO (3)

Inflation(GW=210-16)Verification

of inflation

Frequency [Hz]

Correlation(3 years)

Str

ain

[H

z-1/ 2]

10-3 10-2 10-1 1 10 102 103

10-19

10-20

10-21

10-22

10-23

10-24

10-25

10-26

Radiation pressure noise

Shot noise

1 cluster

Page 24: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Requirements Acceleration noise should be suppressed below

radiation pressure noise– Force noise: DECIGO = LISA/50

(Acceleration noise in terms of h: 1, Distance: 1/5000, Mass: 100)

– Fluctuation of magnetic field, electric field, gravitational field, temperature, pressure, etc.

Sensor noise should be suppressed below shot noise.– Phase noise: DECIGO = LCGT×10

(Sensor noise in terms of h: 1, storage time: 10)– Frequency noise, intensity noise, beam jitter, etc.

Thruster system should satisfy range, noise, bandwidth, and durability.

Page 25: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Roadmap200

708 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

Missio

nO

bjectives

Test of key technologiesObservation run of GW

Detection of GW w/ minimum spec.Test FP cavity between S/C

Full GW astronomy

Sco

pe

1 S/C1 arm

3 S/C1 interferometer

3 S/C,3 interferometer3 or 4 units

DICIGO Pathfinder(DPF)

Pre-DECIGODECIGO

R&DFabrication

R&DFabrication

R&DFabrication

Page 26: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

DECIGO Pathfinder (DPF)

Laser

PD

Floating Mirrors

Drag-free S/C

DECIGO DPF

30 cm

1,000 km

Shrink the arm lengthfrom 1,000 km to 30 cm

Page 27: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Conceptual design and Technologies to demonstrate

Thruster

Local Sensor

Floating mirrorStabilization

system

Laser

Actuator

Drag-free control system Laser source and stabilization system Control of Fabry-Perot interferometer Launch-lock system

Page 28: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Goal sensitivity of DPF

10–2 10–1 100 101 10210–18

10–17

10–16

10–15

10–14

10–13

10–12

10–11

10–19

10–18

10–17

10–16

10–15

10–14

10–13

10–12

No

ise

lev

el

[1

/Hz1/

2 ]

Frequency [Hz]

Shot noise

Mirror thermal

Laser Radiation

Laser: 1064nm, 25mWFinesse: 100Mirror mass: 1kgQ–value of a mirror: 10 6

Cavity length: 10cm

pressure noise

Thruster noise

PM acceleration Noise

Geogravity

Laser Frequencynoise

Dis

pla

ce

me

nt

No

ise

[m

/Hz1/

2 ]

Page 29: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Expected sources

103 104 105 10610–1

100

101

102

Ob

serv

able

Ran

ge

Mass [Msolar]

[kp

c, S

NR

=5

]

Galactic Center

BH QNM

BH Inspiral

Page 30: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

JAXA’s Small science satellite series

• Plan to launch 3 small satellites between 2011 and 2015– using next-generation solid rocket booster

• Reduce time and cost by means of ‘Standard bus system’ – Bus weight : ~ 200kg, Bus power : ~ 800W– Downlink ~ 2Mbps, Data storage ~ 1GByte– 3-axes attitude control– SpaceWire-based data processing system

• We submitted a proposal for DPF

Page 32: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

We gainedmomentum!

DPF was selected as one of the 4 important mission candidates for small science satellite series run by JAXA/ISAS.

Page 33: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

DPF S/C

Size : 900mm cubeWeight : 200kgSAP : 800W Battery: 50AHDownlink : 2MpbsDR: 1GByte3N Thrusters x 4

Stabilized Laser

Interferometer Module

Thruster Control Unit

Solar Paddle

Interfererometer Control Unit

Housing Control Unit

Mission Thrusters

Central Processing Unit

Bus Thrusters

Satellite Bus (‘Standard bus’ system)

DPF PayloadSize : 900mm cubeWeight : 100kgPower : 200WData Rate: 600kbpsMission thruster x16

Power SupplySpW Comm.

Page 34: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

DPF Mission Outline

Orbit: Low-Earth (Altitude 500km), Sun-synchronous orbit (dusk-dawn)

Launcher: Single launch by M-V follow-on (solid rocket booster under development) PBS (Post-Boost stage) for fine orbit insertion

Launch: 2012 (target)Mission Lifetime: 1 year (nominal)

500km

DP

F

Attitude Control: Gravity-gradient stab. Drag-free control with mission thrusters (Safe hold control by bus thrusters)

Page 35: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

History and Future

2006 Nov. Submitted a proposal of DPF2007 Jun. Fortune cookie2007 Aug. Selected as a Pre-Phase-A mission R&D costs funded2008 Sep. Submitted Phase-A proposal2008 Dec. Hearing held for selecting the 2nd mission2009 Mar. 2nd mission will be selected

Page 36: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Pre-DECIGOPre-DECIGO

DECIGO

Arm length 100 km 1000 km

Mirror diameter 30 cm 1 m

Laser wavelength 0.532 m 0.532 m

Finesse 30 10

Laser power 1 W 10 W

Mirror mass 30 kg 100 kg

# of interferometers in each cluster

1 3

# of clusters 1 4

Page 37: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Sensitivity of Pre-DECIGO

10-24

10-23

10-22

10-21

10-20

10-19

10-18

10-17

10-16

10-15

Str

ain

sen

siti

vit

y [

1/r

Hz]

10-3

10-2

10-1

100

101

102

103

Frequency [Hz]

DPFDPFDPFDPF

NS-NS inspiral (@300Mpc)

pre-DECIGO

DECIGO

S/N~14 for NS-NS@300Mpc, 10-20 events/year

Page 38: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Interim organizationPI: Kawamura (NAOJ)Deputy: Ando (Kyoto)

Executive CommitteeKawamura (NAOJ), Ando (Kyoto), Seto (NAOJ), Nakamura (Kyoto), Tsubono (Tokyo), Tanaka (Kyoto), Funaki (ISAS), Numata (Maryland), Sato (H

osei), Kanda (Osaka city), Takashima (ISAS), Ioka (Kyoto)

Pre-DECIGO

Sato (Hosei)

Satellite

Funaki (ISAS)

Science, Data

Tanaka (Kyoto)Seto (NAOJ)

Kanda (Osaka city)

DECIGO pathfinderLeader: Ando (Kyoto)

Deputy: Takashima (ISAS)

Detector

Ando (Kyoto)

Housing

Sato (Hosei)

Laser

Ueda (ILS)Musya (IL

S)

Drag free

Moriwaki (Tokyo)

Sakai (ISAS)

Thruster

Funaki (ISAS)

Bus

Takashima (ISAS)

Data

Kanda (Osaka

city)

Detector

Numata (Maryland)

Ando (Tokyo)

Mission phase

Design phase

Page 39: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

DECIGO-WGSeiji Kawamura, Masaki Ando, Takashi Nakamura, Kimio Tsubono, Naoki Seto, Shuichi Sato, Kenji Numata, Nobuyuki Kanda, Ikkoh Funaki, Takeshi Takashima, Takahiro Tanaka, Kunihito Ioka, Kazuhiro Agatsuma, Koh-suke Aoyanagi, Koji Arai, Akito Araya, Hideki Asada, Yoichi Aso, Takeshi Chiba, Toshikazu Ebisuzaki, Yumiko Ejiri, Motohiro Enoki, Yoshiharu Eriguchi, Masa-Katsu Fujimoto, Ryuichi Fujita, Mitsuhiro Fukushima, Toshifumi Futamase, Katsuhiko Ganzu, Tomohiro Harada, Tatsuaki Hashimoto, Kazuhiro Hayama, Wataru Hikida, Yoshiaki Himemoto, Hisashi Hirabayashi, Takashi Hiramatsu, Feng-Lei Hong, Hideyuki Horisawa, Mizuhiko Hosokawa, Kiyotomo Ichiki, Takeshi Ikegami, Kaiki T. Inoue, Koji Ishidoshiro, Hideki Ishihara, Takehiko Ishikawa, Hideharu Ishizaki, Hiroyuki Ito, Yousuke Itoh, Nobuki Kawashima, Fumiko Kawazoe, Naoko Kishimoto, Kenta Kiuchi, Shiho Kobayashi, Kazunori Kohri, Hiroyuki Koizumi, Yasufumi Kojima, Keiko Kokeyama, Wataru Kokuyama, Kei Kotake, Yoshihide Kozai, Hideaki Kudoh, Hiroo Kunimori, Hitoshi Kuninaka, Kazuaki Kuroda, Kei-ichi Maeda, Hideo Matsuhara, Yasushi Mino, Osamu Miyakawa, Shinji Miyoki, Mutsuko Y. Morimoto, Tomoko Morioka, Toshiyuki Morisawa, Shigenori Moriwaki, Shinji Mukohyama, Mitsuru Musha, Shigeo Nagano, Isao Naito, Kouji Nakamura, Hiroyuki Nakano, Kenichi Nakao, Shinichi Nakasuka, Yoshinori Nakayama, Kazuhiro Nakazawa, Erina Nishida, Kazutaka Nishiyama, Atsushi Nishizawa, Yoshito Niwa, Yoshiyuki Obuchi, Masatake Ohashi, Naoko Ohishi, Masashi Ohkawa, Norio Okada, Kouji Onozato, Kenichi Oohara, Norichika Sago, Motoyuki Saijo, Masaaki Sakagami, Shin-ichiro Sakai, Shihori Sakata, Misao Sasaki, Takashi Sato, Masaru Shibata, Hisaaki Shinkai, Kentaro Somiya, Hajime Sotani, Naoshi Sugiyama, Yudai Suwa, Rieko Suzuki, Hideyuki Tagoshi, Fuminobu Takahashi, Kakeru Takahashi, Keitaro Takahashi, Ryutaro Takahashi, Ryuichi Takahashi, Tadayuki Takahashi, Hirotaka Takahashi, Takamori Akiteru, Tadashi Takano, Keisuke Taniguchi, Atsushi Taruya, Hiroyuki Tashiro, Mitsuru Tokuda, Yasuo Torii, Morio Toyoshima, Shinji Tsujikawa, Yoshiki Tsunesada, Akitoshi Ueda, Ken-ichi Ueda, Masayoshi Utashima, Yaka Wakabayashi, Hiroshi Yamakawa, Kazuhiro Yamamoto, Toshitaka Yamazaki, Jun'ichi Yokoyama, Chul-Moon Yoo, Shijun Yoshida, Taizoh Yoshino

Page 40: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

1st InternationalLISA-DECIGO Workshop

• Nov. 12-13, 2008 @ ISAS, Sagamihara, Japan• Participants:

– Danzmann, Heinzel, Gianolio, Jennrich, Lobo, McNamara, Mueller, Prince, Stebbins, Sun, Vitale, …

• Accomplishments:– Mutual understanding

– Kick-off of collaborations

– Exposure of the missions to people in the neighboring fields

Page 41: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Collaboration with Stanford

• UV LED discharge for DPF

• Other R&D for DECIGO

Page 42: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Summary

• DECIGO can detect GWs from the inflation as well as can bring us extremely interesting science.

• DPF has been selected as one of the important mission candidates for small science satellite series; they plan to launch 3 missions in 5 years starting from 2011.

Page 43: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Let DPF fly!

Page 44: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Possible breakthrough for3rd-generation detectors:

Displacement-noise free Interferometer

Kawamura and Chen, PRL, 93, (2004) 211103Chen and Kawamura, PRL, 96 (2006) 231102

Page 45: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Motivation Displacement noise: seismic Noise, thermal noise,

radiation pressure noise Cancel displacement noise shot noise limited

sensitivity Increase laser power sensitivity improved indefinitely

Frequency

Sen

siti

vity

Displacement noise

Shot noise

Laser

PD

Diplacement noise

Cancel displacement noise

Increase laser power

Page 46: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

GW and mirror motion interact with light differently

Difference outstanding forGW wavelength distance between masses

Mirror motionMirror motion

GW On propagation

On reflection

Light

Page 47: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Cancel motion of objects

CBBCABBA

 Motion of A, B, and C cancelled

  GW signal remains

Clock

Page 48: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Why is it possible?

# of MQ (4) > # of DOF (3)

MQ: Measurable quantityDOF: Degree of freedom

Therefore a combination of MQs that is free from DOFs exists!

Page 49: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Clock noise?

CBBCABBA

 Motion: cancelled

  Clock noise:

not cancelled

Clock

Page 50: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Why?

  # of DOF (Clock): 3  # of DOF (Displacement): 3  # of MQ: 4

Therefore it is not always possible to make a combination of MQs that is free from all the DOFs!

Page 51: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

How can we cope with it?d: # of dimensions, N: # of Objects

# of DOF (Displacement) : Nd# of DOF (Clock) : N# of DOF (Total) : N(d+1)# of MQ : N(N-1)

If N(N-1)>N(d+1) i.e. N>d+2A combination of MQs that is free from D

OFs exists!

Page 52: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Displacement-noise free interferometer

• Propagation time measurement interferometer

• Motion of object displacement noise of mirrors

• Clock noise laser frequency noise

Page 53: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Example of DFI

Two 3-d bi-directional MZ

Take combination of 4 outputs

Mirror motion completely cancelled

GW signal remains (f 2)

Page 54: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Experiment (Ideal)One bi-directional MZ

GWMirror motion Laser

PD

GW Mirror motion

Extract

Page 55: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Experiment (Practical)

EOM used for GW and mirror motion

GWMirror motionLaser

PD

Laser

PD

~ ~Simulated mirror motion Simulated GW

Ideal                Practical

Page 56: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Results

Mirror motion         GW signal

Mirror motion cancels outGW signal remains

Mirror motion to output

Difference

DifferenceGW signal to output

Sato, Kokeyama, Ward, Kawamura, Chen, Pai, Somiya, PRL 98 (2007) 141101

Page 57: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Possible breakthrough for3rd-generation detectors:

Juggling Interferometer

Page 58: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Motivation

10-8

10-9

10-10

10-11

10-12

10-13

10-14

10-15

10-16

10-17

10-18

10-19

10-201 10 100   Frequency [Hz]

Displacement [mHz-1/2]Seismic noise

Pendulum thermal noise

Radiation pressure noise

Shot noise

Limiting the low-frequency sensitivity

• Lower frequency gives higher GW signals.

• Suspension thermal noise and seismic noise are huge at low frequencies.

• What if we can remove suspension?

• Magnetic levitation is a kind of suspension.

• Free-fall experiment is just one shot.

Page 59: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

km-class juggling interferometer

3 km

Laser

Fiber

Laser beam

Beamsplitter

Clamp

Mirror

Clamp

Page 60: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Simple Interferometer

Simple Michelson interferometer– FP cavity is not necessary because

the sensitivity is limited by displacement noise at low frequencies anyway

No fringe lock– Fringe lock is not necessary because

intensity noise can be suppressed and no power recycling is necessary

Page 61: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Data processing 1

Produce displacement signal (x) from the two PD outputs

Dis

pla

cem

ent

Time

Page 62: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Noise caused by juggling

• x:– Longitudinal position on release fluctuates

• dx/dt:– Longitudinal velocity on release fluctuates– Angular velocity on release fluctuates, whi

ch couples with beam off-centering

• d2x/dt2:– Above two effects couple with each other

• x, dx/dt, d2x/dt2 are constant in each segment

Page 63: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Data processing 2

• In each segment, calculate <x>, <dx/dt>, <d2x/dt2>

• Remove them from the data

Page 64: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Loss of GW signal

• A part of GW signal especially below 1 Hz is lost during the data processing 2.

• So is a part of any noise.

• S/N remains the same?

Page 65: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

S/N degraded below 1 Hz

Shot noise after data processing

Original shot noise

0.1     1      10      Frequency [Hz]

10-15

10-16

10-17

10-18

10-19

10-20

Displacement [mHz-1/2]

Page 66: Sora HEPL Seminar Feb. 11, 2009 @ Stanford Univ. Seiji Kawamura (National Astronomical Observatory of Japan)

Juggling interferometer prototype

Mo

ving

up

and

d

ow

n

TimeP

osi

tio

n

~ 2

m

Re

lea

se H

old

Co

ntin

ually

Freely fallin

g

~ 1 sec

Clamp

Re

lea

se H

old

Re

lea

se H

old