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Transcript of Û #^ B9ÖÆ0V v | £&mÎÅø ï & F Ñ Û Â § ¡ z...
2017 1 13
0. 1. 2. 3. 4. 5. 6. 7.
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--
--
--
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-- 2015 2 ~30M
--
-->
=>
-- =>1km ~10-18m -- => !!
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LIGOlabwebpageh@ps://www.ligo.caltech.edu/image/ligo20160211d
lightsource beam
spli@er
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mirror
photodetector
mirror
mirror mirror
km
km
--
-->
--Michelson Fabry–Perot
-->Michelson 2
lightsource beam
spli@er
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mirror
photodetector
mirror
mirror mirror
km
km
-- ( ~1Hz)=>
--
=> => -- ( 100kW–1MW )=>
=>S/N
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2.
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-- 非常に高い共振器内パワー -- - :( ) -->���� �������- : ” ” - : - :
=>
=>
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-- => -- + or +
2.
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--
=> => -- (Sidles–Sigg )
--
2.
centerofcurvature
RoC=R2
oC=R
centerofcurvature θ
cavitylength=L
displacementofbeamspot
2P/c
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--
--
-->AdvancedLIGO -- --> --> =>
2.
Phys.Rev.Le@.,114(2015)161102
Q
(1 )
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2.
-- :=>
--a1 a2 =>
-- :a1 a2
:localoscillator
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3.2017 1 13
-- -->
--
--> Hermite–Gaussian - Gaussian - : => -Gouy : (l+m) Gouy
HG
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-- ( )
--> -- =>
3.
lm ” ” (
)
lm ” ” ( 90 )
lmlm
/
upper lower
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-- 3 :1. => 2. => 3.( )--
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lm ” ”
lm ” ”
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-- -- -- 12
4.
1.
2.
3. :
: overlap
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5.2017 1 13
1.
2.
3. :
: overlap
-- <-- -- 10/01 -- Sidles–Sigg
-- ( )
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-- + or +
12
=>
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-- + or +
10
10 =>12 g ( )
=>
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-- --upper/lower 12
=> or
AdvancedLIGO
Phys.Rev.Le@.,114(2015)161102
upper --> lower -->
Q
(1 )12
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--( )
--
h:interferencewithLO
signal+noise=>
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--> ()
--> (Sidles–Sigg )
-->
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--
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--
-- ???
=> 10/01 =>
/
()
/10or01
(Sidles–Sigg ) ???
/ ???
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--1 ( )
-- Zmeas xmeas -- Zmeas 10 Gouy
=>
=>10
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--:
=> =>
=>Gouy
10
-- Y.Enomotoetal.,Phys.Rev.A,94(2016)012115
measurement@Zmeas
Gouy
signal+noise
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-- ””
-- :
-- --
upper/lower
signal+noise
interferencewithLOofmode
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--AdvancedLIGO 23kHz 3 upper
( ) -1 -- : -- : --
upper ( )upper
( )
SQL
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--:
lower
=> upper
0 -- (=) upper
1(=)
( ) (upper,lower)
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=���=--
--
--
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=��=--
- ( ) - -- ( ) => ( )
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Stokes/anh-Stokes2017 1 13
--upper =>anh-Stokes =>damping--lower =>Stokes =>anh-damping
Y.Ma,Ph.D.thesis,Univ.ofWesternAustralia(2015)
anh-Stokes Stokes
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LO2017 1 13
--LO -- LO -- LO
(synodyne ) -- LO
upper
( )
(LO)
BS
signal+noise
balancedhomodynedetechon
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--AdvancedLIGO -- FSR -- 3 upper
Hamiltonianapproach2017 1 13
--
“ ”2017 1 13
--