DAVID H. SHOEMAKER - LIGO - Caltech

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8) CoDclusioD Fonctionnenent de l,ensemblc I29 Thc Ga.rclilg prototfpc iltcrfeloEet.!, with rn optical path of 90 x 30 !1, ir v.!y clos. to the shot !oi!c li.Eit calculated for the !.latively high powcr arrailable, Nrd ovlr a bload frcquca.cy raagc of rstrophyrical hterclt. Eve! thougi this prototfpc har a delay-liac ltoragc ri.Er of only 9F!, it aLcady has a sca.sitivicy lexpr€lcd as..o equiv.l€at diElqlio e!!ltrai.tt,i of3.lo-r8 i!.a I &Ez baadwidt!) *hich for oany p.cdict.d lo|rtccr is coo.parablc to tha loolt rclritivc bu Epl aatTlas_ [25J. Optimiziag thc stola8c riEc fo! thc frequeacy rangc coviral-d r.ould allow at iscresc i.! lctEitivity by akcort two ordcrc of roa6aitu&. Muer of th. t.chrolosr dcvclopcd hqe ca.E bc .xtcBdcd to futt rcalc gravitatiotral wavc irtelf.lolqet.F tfsl, tcadiag to oprio,isu for th. f.rlibilify of grnvitalioaal ra.vc oalecllotr tq tlc tlctt futrra-
130 Appendices A) Ca.lculatioE of the shot Doire The cunent /rr(r) ia the lqea3uleEetrt photodiode DI ir iat!! rad rpr(t) = r.,,+l5-Gts (r - cor{(r)) C(!) = ,to + /6 sirr.41t E=zo+6t(t), "g the :l-T-l-: 12") LI, :taric diEe,rence. is optica.l p.rh bctwcen (thc tf,g arE! qg 16. ft::Top"r.o ,op*eting pointl, r"p1 tr" ^, ,re"liii-rir';1";sri!ou and slowty .ri!h claagias i! coluDariror ,rirl ,A. ioJui.*ol'i*"icyf "f the, high-frcqueacy , ,,,, ,1. =,oli*d.: pr,""". -oa"fniioo atd :h .-p-pl"i thc uy't"" oodut:.tioq eo"ur" ..ttr, ftrqu€n:yj pt.toai.aiisrriii tn a seri€ of .tlir ia Besscl i. "xp_c"a tuactions J.(C",)r keepins .dy;"'low;t to .ii"i bal+pas! terar ltlis ;-1T:l:1& 6lterin! rhe photodiode sigaa.l rr.quc.Ecf arouad aad th€ at Eodutarion dc) oac 6adr: aad Ia. = I,r + f; (r - .lo(0,o) cor ,tr) r"- = + 2Jr(ca) rir,lr siar.,nr, with au efective c,ur"at .*iag-of I"6 = (I."x - /oiJ. arralged ., LO-" :I:at.:.i! to hold thc outpJl-f ur ar thc a interf6ooet.! ErlilruE of on i[telsiry; diode this coaapoudr io f;;l(.;J;;;i: ", ald 11. ^rr.;,+$ (r _ ro(c.)) r,. * r.6 .1116rl rapl "io,.r. Thc sigaal ir dcmodulated bv : o"tai*",llt.rilii"rll.o?"fr y:X*i:L'.'...:j.wavc*1,6;takilsa V,i1= p ,n Jr(6tu) k 6.(t) . ^, -1:,111.,f.,. coaapctcs *,ith tlir. liCsaf or csli"ra ir rhc i! lhot rh. plorodiod. Bois. duc to the L-. aaa Eow t[e -rcciaicl or +-h_! photodiod. ""1r..""iL (JofL* iatcnat rcriiLcc, *;". .-pm"r_ "t".trooi" o1-ir:i is [;.?,,* .* It-11Tt:rt":d ar additioosl 6xcd, vintrst cuslln, i4.il"i',r"1r,"*ara". ,.,ffii=j.gJ:.,P" ,,* ::*: : t]ort. and ha! r tiaear specrral d.lsrry of y ."r,dc + r4.,1 at th. photodiodr: it i!,6lte!.d lne by thG photodiode aEplitud. i! aEpli6e! negligiblc so rhar for frcouc: thc(auguiar)"bft1;;;*'ii:"T:?"'""1...""rJffi iiiff irl:e*'jr_:li
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ORSAY n'd'ordre: UNIVERSITE DE PARI
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Il est un vrai plaisir d'avoir I'op
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Table des Mati€res 0) Introductio
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Partie 1: Spdciffcation du problenr
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I )- LZ Un pctit pcn de Relatiuiti
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t4 La oroduction d,es ondes dc grcv
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16 La prod,uction dcs ondes de grav
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lt- t8 La prod,uction d,ea ondcs d.
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I ; I ,t- 20 Ld prod,uction des ond
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L'histoire des eforts de ditection
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24 Principe de la ditection intcrld
Page 25 and 26:
26 Principc de la di,tection interl
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Principe de la d,itection interf ir
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30 Principc de la ddtcction intert'
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32 Principe dc la ditection interf
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{ lC) Sources de bruit Sourccs de b
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Sourcce de bruil Les fluctuations d
Page 38 and 39:
Sources d,e bruit 39 Fluctuatione d
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Sources de bruit 4L faisceaux, mais
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" Sources dc bruit 43 oir A.8 est I
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Sources d,c bruit 45 spectrale lini
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I I N - (J (') TI L L L tr lo- J -i
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Partie 2: Solutions particulibres r
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62 La boucle d'asservisscment I Y F
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64 La photodiode boucle; la forme e
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56 La photod,iode ! E 3 q L 5 tr o
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58 Lo photodiode Nous avons mesur6
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60 L'amplificateur de photodiode L'
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L'amplificateur de photodiodc un au
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64 L'amplificateur de photodiod,e +
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66 Les cellules de pockels Un inter
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2El) SystEmes dtisolation sismique
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Systimcs d,,isolation.lsmiguc Pour
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Systdmes d,'isolation sismiquc Ig s
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Systi,mesd,'iaolationsiemiqve 16 qu
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L 4J (!l L A -t l0 z 10 lo to -4 lo
Page 78 and 79: ou, substituant notre M particulier
Page 80 and 81: SgstEmcs d'isolation sismiquc 8l Si
Page 82: F l CJ (I 5 lo- -t to to3 l -'I I l
Page 85 and 86: La nicessiti, Ic concept oit zu est
Page 87 and 88: 88 Sgstdmes rialistes problime est
Page 89 and 90: 90 N[ogcns d,e ditection {car le br
Page 91 and 92: Moyens d,c ditection possbde une pa
Page 93 and 94: 94 lv[oyens de d,itection or) 16 es
Page 95 and 96: 96 ivloyens dc contr6le une diode l
Page 97 and 98: 98 Moyeu d.c contr6le Pour la maque
Page 99 and 100: l Moycns d,e contt6le lames station
Page 101 and 102: I IOZ Moycns dc conlr6le un divelop
Page 103 and 104: o4 Systimes rialistes moteur verre
Page 105 and 106: 06 .9ysfimcs rialistes v- Figure 2C
Page 107 and 108: 108 S enseur oceultation, moteur ma
Page 109 and 110: lI0 Conclusions Parce que I'axe de
Page 111 and 112: tt2 \'|th felpcct io lhe 6!sr and i
Page 113 and 114: l14 t!O.l_ rcrl dA{* , t v y, E --t
Page 115 and 116: 116
Page 117 and 118: ll8 D, Shocrq.f.s., R. Schiflng, L.
Page 119 and 120: 720 2) Quaarua aoise The two ara! o
Page 121 and 122: t22 {l € r n-15 2 1o- t6 10-., ra
Page 123 and 124: 724 F .Thc daopiag forccr * a.ll]l:
Page 125 and 126: ?o ! A tota,l path lclgth diEercnce
Page 127: t28 S IH a t0-16 a I l0-16 tl 103 F
Page 131 and 132: 132 wldcltelcrib. .rtorr i.tr Fl ao
Page 133 and 134: 134 *-_*1 ll 6: fora 3f ihc tiolia
Page 135 and 136: 130 19 . Eowcver, tha itttedeao4ete
Page 137 and 138: 138 f 2l pq Bjl.:C, K. -Vaircbbcrgc
Page 139 and 140: 140 Caracli,ristiques du systi.ne a
Page 141 and 142: L42 Lcs caractiristiqucs statrques
Page 143 and 144: 144 Pompagc L'efficacit6 de pompage
Page 145 and 146: 146 Pompage Ce chauffage a deux con
Page 147 and 148: f48 Pompagc r 0 0 9 o 6 o 4 0 2 oo
Page 149 and 150: 150 Pompage pompe 606 cristal Nd:YA
Page 151 and 152: 152 pompagc ?r? = l.g5 pmi seion la
Page 153 and 154: 154 Creuz spatiauz de gatn c l o 0
Page 155 and 156: 156 Creuz spntiauz d,e gatn de vie
Page 157 and 158: 58 Creux spatiauz de gain r 5 _. 05
Page 159 and 160: loo L'itat de polarisation sont ind
Page 161 and 162: 162 Risumi R6sumd Nous avons abouti
Page 163 and 164: 164 Les sourcee dc bruit c'est un r
Page 165 and 166: : : a :- I 6 166 L'asserdssement du
Page 167 and 168: 170 Les fluctuations de lri.quencc
Page 169 and 170: 172 Les fluctuahons de fri.quence O
Page 171 and 172: o 6 L CJ C L dJ a c ag L F o c! L o
Page 173 and 174: 176 A fllqucocy-rirbili!.d l€lcr-
Page 175 and 176: L7E a?or"Flr$itilr'ion .*;i'."J:f,i
Page 177 and 178: 180 .l -- o c - L N L F 4 to 2 ro 0
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4) R6fdrences Rilirences Billing'78
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Y taelt oJ: Rildrences 187 F . Reif
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DAVID H. SHOEMAKER - LIGO - Caltech

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