2017 1 13

0. 1. 2. 3. 4. 5. 6. 7.

2017 1 13

0. 1. 2. 3. 4. 5. 6. 7.

2017 1 13

--

--

--

0.2017 1 13

0. 1. 2. 3. 4. 5. 6. 7.

2017 1 13

-- 2015 2 ~30M

--

-->

=>

-- =>1km ~10-18m -- => !!

1.2017 1 13

LIGOlabwebpageh@ps://www.ligo.caltech.edu/image/ligo20160211d

lightsource beam

spli@er

2017 1 131.

mirror

photodetector

mirror

mirror mirror

km

km

--

-->

--Michelson Fabry–Perot

-->Michelson 2

lightsource beam

spli@er

2017 1 131.

mirror

photodetector

mirror

mirror mirror

km

km

-- ( ~1Hz)=>

--

=> => -- ( 100kW–1MW )=>

=>S/N

0. 1. 2. 3. 4. 5. 6. 7.

2017 1 13

2.

2017 1 13

-- 非常に高い共振器内パワー -- - :( ) -->���� �������- : ” ” - : - :

=>

=>

2017 1 13

-- => -- + or +

2.

2017 1 13

--

=> => -- (Sidles–Sigg )

--

2.

centerofcurvature

RoC=R2

oC=R

centerofcurvature θ

cavitylength=L

displacementofbeamspot

2P/c

2017 1 13

--

--

-->AdvancedLIGO -- --> --> =>

2.

Phys.Rev.Le@.,114(2015)161102

Q

(1 )

2017 1 13

2.

-- :=>

--a1 a2 =>

-- :a1 a2

:localoscillator

0. 1. 2. 3. 4. 5. 6. 7.

2017 1 13

3.2017 1 13

-- -->

--

--> Hermite–Gaussian - Gaussian - : => -Gouy : (l+m) Gouy

HG

2017 1 13

-- ( )

--> -- =>

3.

lm ” ” (

)

lm ” ” ( 90 )

lmlm

/

upper lower

0. 1. 2. 3. 4. 5. 6. 7.

2017 1 13

-- 3 :1. => 2. => 3.( )--

4.2017 1 13

lm ” ”

lm ” ”

2017 1 13

-- -- -- 12

4.

1.

2.

3. :

: overlap

0. 1. 2. 3. 4. 5. 6. 7.

2017 1 13

5.2017 1 13

1.

2.

3. :

: overlap

-- <-- -- 10/01 -- Sidles–Sigg

-- ( )

2017 1 135.

-- + or +

12

=>

2017 1 135.

-- + or +

10

10 =>12 g ( )

=>

2017 1 135.

-- --upper/lower 12

=> or

AdvancedLIGO

Phys.Rev.Le@.,114(2015)161102

upper --> lower -->

Q

(1 )12

2017 1 135.

--( )

--

h:interferencewithLO

signal+noise=>

0. 1. 2. 3. 4. 5. 6. 7.

2017 1 13

--> ()

--> (Sidles–Sigg )

-->

6.2017 1 13

--

6.2017 1 13

--

-- ???

=> 10/01 =>

/

()

/10or01

(Sidles–Sigg ) ???

/ ???

2017 1 136.

--1 ( )

-- Zmeas xmeas -- Zmeas 10 Gouy

=>

=>10

2017 1 136.

--:

=> =>

=>Gouy

10

-- Y.Enomotoetal.,Phys.Rev.A,94(2016)012115

measurement@Zmeas

Gouy

signal+noise

2017 1 136.

-- ””

-- :

-- --

upper/lower

signal+noise

interferencewithLOofmode

2017 1 136.

--AdvancedLIGO 23kHz 3 upper

( ) -1 -- : -- : --

upper ( )upper

( )

SQL

2017 1 136.

--:

lower

=> upper

0 -- (=) upper

1(=)

( ) (upper,lower)

0. 1. 2. 3. 4. 5. 6. 7.

2017 1 13

7.2017 1 13

=���=--

--

--

7.2017 1 13

=��=--

- ( ) - -- ( ) => ( )

2017 1 13

Stokes/anh-Stokes2017 1 13

--upper =>anh-Stokes =>damping--lower =>Stokes =>anh-damping

Y.Ma,Ph.D.thesis,Univ.ofWesternAustralia(2015)

anh-Stokes Stokes

2017 1 13

LO2017 1 13

--LO -- LO -- LO

(synodyne ) -- LO

upper

( )

(LO)

BS

signal+noise

balancedhomodynedetechon

:2017 1 13

--AdvancedLIGO -- FSR -- 3 upper

Hamiltonianapproach2017 1 13

--

“ ”2017 1 13

--