高精度低電力高周波システム
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BU

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Ĳ 2.2.1 Â ˲ ʎ ˢ B  



ŁĚɭ

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ʊ-Y;XRB=0X̥ȬCˁĢȜǗ ω BȍXƉ(2.7)B§ʤ˂C

ky¤tɑñƻƸş̌"UF­ño¤zk(2.9)
Vx = A exp(- γx)+B exp(γx)<ʲ-YX+Y\(2.3)@¾ä0X=

y¤t\ L0[H/m]R0[Ω/m]C0[F/m]G0[S/m]=γ (−A exp (−γ x ) + B exp (γ x )) = −ZI xŨĄ̕@9;ɭÎĭˢCĲ 2.2.1 BU

Ix =ƋȜ=0XÂ˲ʎˢBĈÅ̒-5WBa¤z

0X++<Â˲ˢ¨BÅʓ x = x+dx B̕BƜ@ʲɁ<%Xx @")X̥Ĵ\ Vx̥ȡ\ Ixx+dx @")X̥Ĵ̥ȡ\ Vx+dVxIx+dIx =0X=dVx
CɑñƻƸ"UFa¤zky¤t@˝Į0X̥

++<dV x = − R0 dx ⋅ I x − L0 dx= −(R0 + jωL0 )dx ⋅ I x


Z0 =

dI x
dt

= − Zdx ⋅ I x=ʲ-YX Z0 CÂ˲ˢBȻƤa¤¦z¤t=ģDYXÂ˲ˢ$ȵǌō(R0=0,G0=0)B=%

(2.1)=?XN5dIx C­ño¤zky¤t"UFş̌@˝Į0X̥ȡBȧũ<X#V

dV
dI x = −G0 dxVx − Cdx x
dt= − (G0 + jωC ) dxVx

(2.11)

Z0=√L/C、β=ω√L C=?X

 ȵǌō(=0)B=%§ʤ˂(2.9)@9;Ǥ̕ŇăB̬ exp(jωt)\ğQ;ʘƬ0X=¿©BU

@

?X
(2,2)

= −Ydx ⋅Vx
Y = G0 +Z
R0 + jω L=
Y
G0 + jωC

Z = R0 + jωL0

(2.10)

1(−A exp (−γ x ) + B exp (γ x ))Z0=Ĵ̙©<X#VZY(−A exp (−γ x ) + B exp (γ x ))Z

jωC=?X+B 2 Ɖ\ǘɂ0X=
d Vx
(2.3)
= −ZI x
dx
d Ix
(2.4)

= −YVx dx¬˫\ x @9;Ɯï0X=
dI
d 2Vx
(2.5)
= −Z x
2
dx
dx
dV
d 2Ix
(2.6)
= −Y x2dxdx(2.5)@(2.4)\(2.6)@(2.3)\¾ä0X=
d 2Vx
(2.7)
= γ 2Vx
dx 2
d 2Ix
(2.8)
= γ 2Ix
2dx=?X++<


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V(x,t)=A exp(j(ωt-βx))+ B exp(j(ωt+βx))ɫ 1 ̬BŜ̈ u(t,x)C A=|A| exp(jθ)=.;u(t,x)=|A| cos(ωt-βx+θ)=?Xu(t,x)CǤ̕==R@Â˲ˢ¨\ x>0 Bǜ

Ğ@˻P˻ʯȜB̥Ĵ\ɞ.;XǤø t1t2@")X u(t,x)BÅɒ=Ĝ/×\ƾ9 x BÅʓ x1、
x2 @9;¿©B̖Ð$X

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(x2-x1)/(t2-t1)=ω/βȜ̒VCÅɒŷ$ 2(2.12)=?XÂ˲ˢ¨Bˠ̣6#=CȋB̖Ð=?X
=2(2.13)

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ʘ!X=ɫ 1 ̬CÂ˲ˢ#V˙ʩJBäŦȜɫ
2 ̬C˙ʩ#VÂ˲ˢJBĐŦȜ@ţƠ0X++<̥ĴÓĘ VL @9;ĐŦȜ VLi BäŦȜ

VLr @ţ0XÐǗ̷ĐŦÐǗ̸ΓL \ʘ!X(2.9)
UW
VL=VLi+VLr=A exp(-γd)+B exp(γd)

B exp (γ d )VΓ L = Lr =VLi A exp (−γ d )(2.14)(2.15)

VLi −VLr
Z0(2.16)

˙ʩBa¤¦z¤t ZL C

ZL =(2.17)=ʲ2X.5$8;ĐŦÐǗCa¤¦z¤

Z − Z 0 zL −1
ΓL = L=Z L + Z 0 zL +1@ʲ0+=R<%X
(2.18)++< zL=ZL/Z0  Cȍʽăa¤¦z¤t<X
ȋ@Â˲ˢ¨BÅʓ\̥Ȭ̔Ĕ̈(x=0)@ɠ.
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C(2.9)UW Vs=A+B =?W(2.15)=Ě[2;ʘ!
X=VB
Γ S = Sr = = Γ L exp (−2γ d )VSi A(2.19)=?XÂ˲ˢB x=0 @")Xa¤¦z¤tC(2.17)BΓL \ΓS =.;1+ Γ sZs =Z01− Γ s==ΓL=0 <W̥ĴĐŦȜCɍɄ.?Â˲ˢBa¤¦z¤tC5X=+Z< Z0 =3. ZL=(̔ǔ)B=%̀
Z
1− 0
ZL
ΓL =
= 1 <W̥ĴĐŦȜCĜÅɒ=Z0
1+
ZL?XÂ˲ˢB x=0 BÅʓ#Vʼ5a¤¦z¤t Zs C Zs=-jZ0cot(βd)=?X

4. d=/4 B=%̀Â ˲ ˢ $ ȵ ǌ ō = 0 X = (2.21) Ɖ @ "  ;tan(βd)C=?XB<
Z + jZ 0 tan ( β d )Z2
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(2.19)\Ê8;ȋBU @ɞ2X
Vx = A exp (− j β x ) + B exp ( j β x )=";(2.20)C
(2.21)=?XȵǌōÂ˲ˢ@9; ZL B×$ 0ZLBŁ
Ě@CĐŦÐǗC3Y4YȋBU

śĵȜ$Ʉ/XśĵȜBŊ%-CÂ˲ʎˢ¨B
Wave Ratio VSWR̸<ʲ0=ĐŦÐǗ=B̖

Z L + Z 0 tanh (γ d )Z0
Z 0 + Z L tanh (γ d )1. ZL=0(ɗʆ)B=%̀

Zs=jZ0tan(βd)=?X

X

1+ Γ L exp (−2γ d )Z01− Γ L exp (−2γ d )Â˲ˢ$ȵǌōBŁĚ =j
Z + jZ 0 tan ( β d )Zs = LZ0
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0( Z L + Z 0 ) − ( Z L − Z 0 ) exp (−2γ d )=180 ƅÅɒĐ˦.5RB=?XÂ˲ˢB x=0?X

VL 1+ Γ L=
Z0
I L 1− Γ Lt\Ʌ;¿©BU+Z 0

2. ZL=Z0(ǘĚ)B=%̀

N5˙ʩB̥ȡ IL C

IL =(2.18)UW Γ L = −Z 0 = −1 <W̥ĴĐŦȜC@?X= A exp (− j β x ) + AΓ L exp ( j β ( x − 2d ))= A exp (− j β x ) 1+ Γ L exp ( 2 j β ( x − d ))Vx Bʉţ×BǨŊ×ǨŨ×C(

Vmax = VLi (1+ Γ L )Vm in = VLi (1− Γ L )) ρ = Vmax =Vm in1+ Γ L1− Γ L

2

"
" 1 %
r %
2
$U −
' +V = $'## 1+ r &1+ r &
2"
1% "1%(U −1) + $#V − '& = $# '&
x
x

N5

2

 Γ L = 1− ρ

1+ ρ=?XĲ 2.2.2 @|ΓL|==B̖Ð\ɞ0

2(2.23)

2(2.24)(2.23)\ȫ50ˤˡC®ƞ(r/(1+r), 0)Ćƕ r/(1+r)

Bê\(2.24)\ȫ50ˤˡC®ƞ(1,1/x)Ćƕ 1/x
Bê\ɞ0 a¤¦z¤t z $ŜǗB̯ļC x=0 <W
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Ĳ 2.2.2 VSWR ρ = Đ Ŧ ɀ |Γ
Γ |=
=B̖Ð
P. H. Smith Ca¤¦z¤t_|y¤tĐŦÐǗVSWR ?>Bɒ¶ŇǈSǘĚĭˢBˇ˄@Ïõ?U@˄ɲBɸɉăSʾʿă\ɐɎ=.;tt{¦\ʘǻ.5̥ĴĐŦÐǗ Γ Cʹɿƀ̨< Γ =| Γ |exp(j θ )=ʲ0+=$

5ŁĚ@Ca¤¦z¤t zR=(r+R)+jx CŜ̈

BO$Ňă.ʭ̈ x $§śB(2.24)Bˤˡ¨?B<Ë!DĲ 2.2.3 @ɞ0U

@ā'a¤¦z¤t z=r+jx @ɑñ@a¤zky L \˱ý.5Ł

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z=r+jx =Γ=U+jV B̕@C(2.18)B̖Ð$W+BĈÅêB®<a¤¦z¤t(r,x)=ĐŦÐǗ
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=

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ā'+=@?X_|y¤t Y=1/Z=G+jB @9;RĜȅ@ˤˡ\ˆ0+=$<%ĭˢ\­

1+ Γ
z=
1− Γ
1+ Γ
2
z +1 =
+1 =
1− Γ
1− Γ

(r +1) + jx =@ r $§śBñ@ǅʊ.5ŁĚBĐŦÐǗ\ĕʾă0X+=
$<%X

2
1−U
( ) − jV

(1−U ) +V

2

+j

2V
2

(1−U ) +V 2

¬˫BŜ̈=ʭ̈@9;
2 (1−U )r +1 =
2(1−U ) +V 2 2Vx=2(1−U ) +V 2
+Y\ŇƐ0X=ȋƉ$ƙVYX(2.22)

Ĳ 2.2.3 t  t {  ¦  B Ë +YN<Â˲ˢ¨B˻ʯȜBȼƫ\̥Ĵ=̥ȡ<ʲ.;%5.#.ak¢ȜB̯ļ<C̥Ĵ=̥ȡ\ÆĢȜĭˢBU@Ĩ§B×@ʽś0X+=Cİ̤<X̶ĢȜ̯ļ<Řś.;ȍɚ@ȩś$ĕʟ?̌C̥ü<X3+<˻ʯȜBŊ%-\̥ü@̖˺½);ʲ0̌=.;Ȝǀž\ŧä0XȜǀžCʹɿǗ<ʉţ×C=0X=ipB®̕îüÓĘ VIF(t)C
VIF (t ) = VRF (t ) ⋅VLO (t )= Asin (ω RF t ) ⋅ Bsin (ω LO t + φ )=ABcos ((ω RF − ω LO ) t − φ ) − cos ((ω RF + ω LO ) t + φ )2
̷2.25̸

()˻ʯȜB̥üBƀǜǸ@ɭ.'ÅɒC˻ʯȜB=ʲ-YXipîü\̶ļ˷˾`̥ĴN5C̥ɈBȇǜĞƭïBÅɒ@ɭ.ĭ

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0

VYÆļ˷˾`y@˷

y\˷0=ɫµ̬$Ȣ!;

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ȻƤC
!
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S12 ⎞⎛ a1 ⎞⎟⎜ ⎟S 22 ⎟⎠⎜⎝ a 2 ⎟⎠

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)
s( 1
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VRF(t) = A sin(ωRF t)

 ĿȭÓĘ

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au$Æ+=îüǀž$Řś<X+=ǀž

au$Æ+=$ʺȗ-Y

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2.6.1.

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2.7. Å ɒ ǿ î Ĭ  ǀ ž ǿ î Ĭ

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#CÅɒǀžǿîĬ\ɅBǜț@9;'9#BË\ɞ0
2.7.1.

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Ę=ŪɍÓĘ=\#)ɲ.5ÓĘ$îü-YX
fRF=fLO̷9NWωRF=ωLO̸B=%ipBîüÓĘ
C(2.25)Ɖ#V
VIF (t ) = VRF (t ) ⋅VLO (t )Ĳ 2.6.5 ȁ Ɔ Ȇ ʲ ɞ ̷ r,θ ̸ = IQ ʲ ɞ (Vi,Vq)

⎧Vi = r cos θ⎨⎩Vq = r sin θy@˷0=ɫ 2 ̬CȢ!;VIF (t ) =⎧r = V 2 + V 2
i
q
⎪⎪
⎨
Vq
⎪θ = arctan⎪⎩Vi(2.26)

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a|?>\Ʌ; 90 ƅBÅɒŷ\ƾ9 2
9BÓĘ@ï)VYX3Y4Yip@äüYipBîüǀžC÷ƚ̥Ĵ ViVq @U8

AB
cos (φ )2Bîü$ƙVYX+BîüCφ́-/2 B,'ˮ

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;˓ǘ-YXipBîüCĜɒ<Ěƭ-Y
îü-YXîüÓĘBÅɒǀžC(2.26)Ɖ@Ƙ
8;˓ǘ-YX
Ĳ 2.7.1  i p \ Ʌ  5 Å ɒ ǿ î Ĭ 
2.7.2.

XOR \Ʌ5ÅɒǿîĬ

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Ĳ 2.6.6 IQ Ň ˓ Ĭ B Ȅ ƭ ȃ ơ Ĳ 

̼9B˔ɂäü@ţ0X XOR ȰɲʅǵCʲ 2.7.1

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Ĳ 2.7.3 v |   v |     |   ¢ |  \ɒŷ$ 0B=%îü$ 0Åɒŷ$ 180B=%Ʌ5Åɒǿîĭˢîü$̻=?XǿîĬîüB̻9B×@ţ.;

2.7.4.

ÅɒC180Bɶı< 2 ×\=X5QôBǜ

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XîüC¡<ª˺ʊ<

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IQ ǿîĬ

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̷2.26̸Ɖ@Ơ/5Ȱɲ\ʯ8;R3BƑ̪Cȓ˨ɎŨ-+=@

U8;RF äüÓĘBĿȭÓĘ@ţ0XÅɒǀ
ž\ƙX+=$<%X+BȩśǜƉ<C-180

ʲ 2.7.1 XOR B ˔ ɂ ʲ#V+180N<Bɶı<˺ʊɎ@ÅɒǀžBȩ
ś$ĕʟ<XĲ 2.7.5 @ IQ ipBňˀBË\ɞ0 ȋ@ IQ ǿîĬ\Ʌ5ÅɒǀžBȩśˏŷʺ
Į@̖.;ǿ˅0X+Bȩś<BˏŷʺĮ=.
;CipîüBfv|̧ʎƐƤADC
Bfv|na¤ˏŷ̧ʎƐƤIQ ˧Bɑ
·Ƥ#VB1Y$*VYXADC @fv|

Ĳ 2.7.2 XOR \ Ʌ  5 Å ɒ ǿ î Ĭ$XŁĚBË\Ĳ 2.7.6 @ɞ0RF äüBǀž
$§ś<8;RÅɒθ\-180 ƅ#V+180 ƅN<

2.7.3.

Ňă-25Ǥcosθ @ȓË.5ǀžˏŷ-sinθ

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Ʉ0X+YVBˏŷC´ù@ȩś.;"%ʷȍƙX+=$<%X(Ĳ 2.7.3 ďȶ)Set ÓĘ$äü\ʯ-YX=îüC 1 =?Wv|ÓĘ$äü-+=@U8;Ʒ÷0X+=$<%X[7, 8]

YX=îüC 0 =?X+BǜƉ<C0°#V360°
N<Bƃɶı<ʎƐƤ\ƾ9îü"UFƜÐǗC φ ̺́<ª˺ʊ=?X5Q˽˦<ÊɅ0X
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takȼB$Ɵʺ<X

au\´ù@Ʒ÷.;"'+=

Ĳ 2.7.4 IQ ǿ î Ĭ 

Ĳ 2.7.5 ŵ # V IQ  i p  z 

¤t

ip

Ĳ 2.7.8  s y

Ĳ 2.7.6 I ˧ ǜ Ğ @ ADC B   t B f  v | $85ŁĚBÅɒǀžˏŷ

IQ ǿ î Ĭ 

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Ĳ 2.7.7 I ˧ ǜ Ğ @ ADC B   t B n a ¤ ˏ ŷ$85ŁĚBÅɒǀžˏŷ ôB_¢¦{=.;sy

IQ ǜƉ$X+BǜƉ<C LO BĢȜǗ fLO \ RF ÓĘBĢté<tĴʑB5QBÅɒĐ˦$ 100ns¿©BɗǤ̕é@ʯ[YX+BȅŔ\ 4.2nsBǤ̕ï˂ʟ<ˀȩ0X5Q_¢l IQ ǜƉ$

ǄɅ-Y5
ʲ 2.5.2 Å ɒ ǿ î Ĭ B ɢ ̲ = Ȼ ƤȜǗ f0 #VΔf 6)1V0+=@UWɍɄ0X®̕ĢȜǗΔf BÓĘ\fLO =Ĝǫ.5k¢|k<āÉ

0X ADC <ˑOĒX+=@UWIQ ǿî\ʯ+Bǜț<C I ƭï= Q ƭï\̻9B ADC <ˑOĒX5Qna¤Bɒţˏŷ$ɍɄ.?=õȳ$X56.ADC Bk¢|kBĢǫC
Cʼ5ÓĘBǤ̕ŇăUWRąïɗƟʺ$

2.7.5. zaf¦\Ʌ5ǿîĬ

XĲ 2.7.8 @ ADC Bk¢|k=.; 4 Δf =.

r|i¦_zaf¦(SBD)\ɅX=

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ẄïCäü̥ĴB 2 ±̷äü̥ü̸@ȓË.

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äü-YX̶ĢȜ̥ü\ DC ̥Ĵ@Ňǈ0XB

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X̷Ĳ 2.7.122.7.13 ďȶ̸5ÓĘîü$ƙVYXäü¡

tB|{¤l\=X+=$̊ʺ=?X

Ĳ 2.7.9 r  |  i ¦   _ z a f ¦  B ň ˀ

Ĳ 2.7.12  £ ¦  ¦ y B ň ˀ ̷ î è  _ s ¡¤ɟgy¢l̸
Ĳ 2.7.10
 r|i¦_zaf¦B̥Ĵ¥̥ȡȻƤ̷îè _s¡¤ɟ¦yr¦̸

Ĳ 2.7.13 ȷ ̥ ţ ̶ Ģ Ȝ ̥ ü ˄ B  ¢ | k Ĳ ̷îè _s¡¤ɟgy¢l̸
Ĳ 2.7.11 r  |  i ¦   _ z a f ¦  ǿ ȜĬ ̷ 423B̸
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 T = PR (1 − exp(−t / RC ))3.

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0A =?85Ǥ\̄I+=@UW+BƑ̪\Ũ-B¦y\ɚˍ0X+=$ĕʟ=?8;

'<%XtyhÓĘC VME ʽǹBs¦ ̷MTU̸<Ʉƭ.;X+Bs¦@C¤¢¦Ŝ̵<ÊɅ0X¡¦q¦Bk¢|k@ţƠ0X 79.3MHz̷=238MHz/3̸BĿȭÓĘ= AC60Hz ÓĘ$äü-YĿȭ RF ÓĘ@Ĝǫ.5 60Hz hÓĘ\ɍɄ0X+B

X
SACLA <C¨@ɞ.5ǜț\Ʌr_?

÷ƚ$ʺȗ-Y;XäŦ̈Bý˸ɦȟC 20Hz
BʒW˯.<˽˦̥Ŕ̏= C ¤¯ý˸̈BɦȟC 10Hz N5C 20Hz BðWǧ!˽˦\¦q¦Bʺȗ@Ơ/;ʯ8;XN5¦q¦BhÓĘCęēÓȳ@Ğ)5712MHz @ PSK Ňʺȗ$ 10keV ¿©Bd

˓\L>+.5ÓĘ\Ʌ;Â˲.;XēÓ

̥Ɉ@ʧſBÈʶ$XB<Ǖ̟Ǥ@Ü!X5

â< 5712MHz ĿȭÓĘ= PSK ÓĘ\ip@ä

QƖȉ-2XĘȉ\ C ¤@ˇ);XƖ

ü.ƛ˓.5hÓĘ\ę|<ÊɅ.

ȉĘȉ<C0K;BhÓĘ\¦ö̀B;X

ya¤l#V"U3 10µs ˼V2;˽˦\ʯ8

Ĳ 4.1.2 @ʼVYXU@ę|<Ckat¢¤Ʌ̶̥Ĵ̥ȬBḁ́ĬBḁ́̔őj¦BŁĚ@Cý˸;;Ǖ̟Ǥ@C˭˸@˽˦@ÊɅ<%XU@.;X

hḁ́ÙȌhǔ̥hVME B
DAC ȜƐîü̔őhADC BȜƐĒWˬOhkat¢¤¥a_¤Ba_t̥Ĵĉý̔őh?>BÓĘ$ɅVY;X+YVBhÓĘC VME ʽǹBh`¡a|(TDU)@UWɄƭ.;X
+B|<C238MHz k¢|k<āÉ0X
gb¤y\tyhÓĘ<v|.ˇś.5˼Ƈgb¤̷M̸@̀.5Ǥȳ<hîü\ʯ

+BhÓĘC 5712MHz k¢|k=ëĜǫ.;îü0X+=@UW rms ×< 1ps ¿©Bs|yƤʟ\ŜɁ.;XTDU @Cty

h\ 32bit <˄Ǘ0Xtyhgb¤y

Ĳ 4.2.1  t y   h Ó Ę \ Ŀ ȭ = . 5 ˼ Ƈ ȉʟtyh\ N ïĢ.5Ģǫ<hîhÓĘBɄƭü\ʯ4.3. ĿȭÓĘBŇ˓ȉʟ\ƾ8;X̷Ĳ 4.2.1 ďȶ̸kat¢¤B̴āC 60Hz \ïĢ.5ʒW˯.<ʯ

+B=%ę|<Bya¤lĜǫ

C Network Time Protocol \Ʌ;ę VME B CPU
BǤø\ ms ¿©Bɹƅ<[2;3Y4YB
TDU Btyhgb¤=ǤøB̖Ð\Ě[2X+=@UWŜɁ.;XɦȟBÅɒǀž¦yS¦Åʓ?>B¦yCr|Ȓ@¦y¦t@ÒŖ-YX$3B¦y@C
yl=.;tyhgb¤B×$ĜǤ@ˆ̐-Y;XŜ̵¦q¦B¦yB§̈@˺ʊȜBĿȭÓĘ#VưǪBtžǀž

Åɒ\R9ÓĘJ=Ň˓.Ŋ̥üńžĬJäü
0X5Q@IQ Ň˓Ĭ$ÊɅ-Y;X̷Ĳ 4.3.1
ďȶ̸ý˸ɦȟBÅɒǀžC 238Ms/s Bp¤¡¦\ƾ9 16bit B DAC̷¯ý˸̈<C 14bit

B DAC̸\Ʌ;÷ƚ-YX238MHz ɦȟ<C
100µs476MHz ɦȟ<C 50µsL ʷȍɦȟ"UFL ¤<C 5µsC ʷȍɦȟSC ¤ɦȟ

<C 2.5µs BɖƐȜ$ɦȟBÿǀ@ÊɅ-YXS¤C ¤<C

tĴʑ\ʯ

5Qå

ž 2.5µs BɖƐȜ@ţ.;ɧ7¨$W#Vɻ 2µs

4.5. ÓĘBÅɒǀžǿî

Bya¤l<Åɒ\ 180 ƅĐ˦.;X[15]Cɦȟ@ˎ˝-Y5ÓĘC̥ȕ̒BȨƅŇă@ţ¤ɦȟ<C

0XÐǗ$ 5ppm/K ¿©B 15D m¦tĴʑǤB¦k̥Ł\©

*X5QÿǀȜƐ=.;ÅɒĐ˦ɑƗBǀž\ȧV0ǀžŇ˓\ʯ8;XÿǀȜƐBË\Ĳ
4.3.2 @ɞ0\˷.;ǿîĬN<Â˲-YXǿîĬ=.;CIQ ǿîĬ\Ʌ;X̷Ĳ 4.5.1 ďȶ̸IQ ǿîĬB¦t¤ÓĘC 16bit B ADC̷¯ý˸̈<C 12bit
B ADC̸<ǿî-YXS ¤C ¤?>kat¢¤\Ʌ5ɺʈBǅʊ\Ĳ 4.1.2 @ɞ0Ĳ 4.5.2 @äŦ̈Bý˸ɦȟB|k_|ÓĘȜƐ\ɞ0ȇ˧CǤ̕<ĈÅC ADC B
Ĳ 4.3.1 Ŀ ȭ Ó Ę B Å ɒ  ǀ ž Ň ˓ ĭ ˢ k¢|kǗ<ɞ.;X238MHz476MHzL¤BɦȟCɖƐȜ<ÿǀ.;Xý˸ɦȟ
B Q ×@Ơ/5ɧ7¨$Wɧ©WȜƐ$ʼVYXęɦȟ@¦$ö̀0Xya¤lCȜƐɧ©WBɑù@ˇś.;XĲ 4.5.3 @C S¤C ¤˻ʯȜɳBîü̈@ˇʓ-Y5
ǜĞƤʅĚĬîüÓĘBȜƐ\ɞ0tĴʑ@UW̥ŁBƍ-$ǗÖ@ńž-Y;Xęɦȟ@¦$ö̀0Xya¤lC1000 k¢|
Ĳ 4.3.2 S  ¤  k  a t  ¢ ¤ ÿ ǀ Ó Ę Ȝ

k@ˇś.;XƐ
4.4. kat¢¤¥a_¤ɦŊ̥üB

t̶ĢȜ\ɍɄ-2X5Q@kat¢¤$ÊɅ-YXkat¢¤Bÿ
ǀ@CǗ 100W BÿǀÓĘ$Ɵʺ<X+B5

Ĳ 4.5.1
 RF Ó Ę B Å ɒ ¥ ǀ ž ǿ î ĭ ˢ 

Q@FET \Ʌ5ĆŧÇńžĬ$ÊɅ-Y;
XFET JBa_t̥ȡCh@Ĝǫ.;
10µs BǤ̕6)ĉý-YX+Y@UWȢ˛̥ü$Æȧ<%ȷBɍɄ\Ʒ÷0X+=$<%XŊ̥üńž̈<CʹǗB£¦FET \­ñ@̴ā.a|\Ʌ;Ěƭ0XȄƭ=.;
X(Ĳ 4.4.1 ďȶ)Ĳ 4.5.2 ɦ ȟ ÿ ǀ Ǥ B ä Ŧ ̈ B ɦ ȟ  | k _ |ȜƐ

Ĳ 4.4.1 k  a t  ¢ ¤   a  _ ¤  B  ¢|kĲ

Ĳ 4.5.5  ¦  ˎ ˝ Ó Ę B Å ɒ (ŵŵ )== ǀ ž (ėė )
ȓ˨B5Q@ÿǀǤBȜƐRĚ[2;ɞ0
Ĳ 4.5.3 ɦ ȟ ÿ ǀ Ǥ B S  ¤  " U F C  ¤ BɦȟîüȜƐ

4.6. ǀžÅɒŘśă÷ƚ
ý˸ɦȟBÅɒǀžBˇś/ˑOĒWCù˰BU@ VME ʽǹB DAC/ADC ¦<ʯ8;X¦˓ǘB̞@Cý˸ɦȟ$¦@ţ.
j¦ý˸\«!XÅɒ(k¡tɦȟBÅɒǀžC5=!DìĊȖȨBŇăý˸Åɒ)\ɕXƟʺ$X+BÅɒ@ţ0XƧńžĬBȨƅŇă?>BƑ̪\ē)T8'W=

ŀB̻9=.;¦$ý˸ɦȟ@ˎ˝0XÓ

0X+=$Xň²@UXŇā\Ʒ÷Ę$X§ʤ@¦ý˸B5Q@ɦȟ\ÿ˝

0X5Q@ę|CȨƅŘśăB?-Y5

0XÓĘ=¦$ˎ˝0XÓĘ=B̕@C 2 ǺìĊȖ\˷Ȗ.5Ȗì|k@"-QVY;

;ǨŊBd¿¨BǀžB́$X3+<ǿîĬ@ 0dB= 40dB BðWǧ!Ɖ_|~¦y\ˇ)˷Ž

X̷Ĳ 4.6.1 ďȶ̸[12]N5s¦B̥Ȭ=.;C¢|yaBÆ̢̩ŘśăȖì̥Bý˸˽˦B̞@C 40dB B_|~¦y\˷.

Ȭ#VÌʇ.ę|é<Bɍȷ\Ʒ!̥¦ˎ˝ÓĘBȩśǤ@Ckat¢¤BȬÿǀ\ÙȌ.5¨<_|~¦y\ 0dB @ˇś.
;ȩś\ʯ!XU@.5(Ĳ 4.5.4 ďȶ)_|~auBÆȧ\ʯ8;Xɦȟ|k_|= IQ ǿîĬ=B̕\ʅIm¦@9;Rĕ

ʟ?ÕưCǛȷƥȨǆʓ\Ē85̷Ĳ 4.6.2 ďȶ̸¦yðWǧ!Ǥ@̥ȕ̒Bŷ$Åɒ@.; 1 ƅ+YVBţɰ\=8;RȏXŇāʺĮBƑ̪\¿©=?XU

Ʒ÷0X5Q@ˑOĒ85Åɒ=ɐȆÅɒ=B@¢¤¦¤\Ʌ;˓ǘ.

;X+Bˎ˝ÅɒÓĘ#VÿǀÓĘBÅɒ=¦Åɒ=B̖Ð\ɗǤ̕<ȩś0X+=$ĕʟ=?8;;ý˸ĬB¦˓ǘB!

<ƒɧ8;Xˏŷ\Ũ-'0XU@ÿǀÓĘBÅɒ\˓ǘ

0X PID ÷ƚ¢vt\ SACLA <C˽Ʌ.;

X̷Ĳ 4.6.2 ďȶ̸+B÷ƚ¢vtC VME B
CPU ¨<āÉ.;"WɁĵ 200ms BʒW˯.<÷ƚ\ʯ8;"W0.03Hz ¿©BŇā@ţ.;Ʒ
÷̶Î$ɚˍ-Y;Xʲ 4.6 @ęý˸ɦȟBÅɒǀžŘśƅ@9;Bȩśʅǵ\ɞ0++<ȩśC 10 ï̕<Wrms ×\ɞ.;X

Ĳ 4.5.4  ¦  ˎ ˝ Ó Ę B ȩ ś Ǥ B v |  _ |

Ĳ 4.6.1 Ȗ ì  | k B Ȅ ˹ 

4.7. Æ̥ü̶ĢȜrt~BƤʟˊÎ¦Bö̀Ǥ̕Cý˸ɦȟBÅɒŇā?>BƑ̪\ē);Ňă0XSACLA <Cɦȟĺ BPM\Ʌ;"W[16, 17]+B¦$ˎ˝0XÓĘBÅɒ=ĿȭÓĘ=BÅɒŷ\ȩś0X+=@
UW BPM ˇʓÕư<B¦Bö̀Ǥ̕\ȩś

0X+=$<%X̷Ĳ 4.7.1 ďȶ̸Ĳ 4.7.2 @C

BL3_1_1_2 @ˇʓ-Y5 BPM <B¦ö̀Ǥ̕\ɞ01 ï̕Bö̀Ǥ̕¦yB rms ×CȩśɺBªɚś-\ğQ;R rms ×< 50fs =ʥŏ?
×<85
Ĳ 4.6.2 ɦȟ|k_|= IQ ǿîĬ\ʅI
m¦

BÒȨ

Ĳ 4.7.1  ¦  ö ̀ Ǥ ̕ B ȩ ś  ¢ | k Ĳ phase [degree]-45.6

rms 0.085 degree(50 fs)

-45.8
-46
-46.2
-46.4

Ĳ 4.6.2  ` ¦   | k ÷ ƚ B  ¢ | k Ĳ (ŵŵ)= ā É Ǥ B Ǥ ̕ Ȝ Ɛ (ėė ¨ )Ģ Ȝ Ǘ t  k (ėė©)

Tolerance

476 M Booster
LB Correction

L-B APS acc. 1
L-B APS acc. 2
C-B Correction
SB 1 acc. 1

CB01-1 acc.1

0 200 400 600 800 1000
shot number

0100
histgram [counts]

Ĳ 4.7.2 BL3_1_1_2 @ " ) X  ¦  ö ̀ Ǥ ̕ B

ʲ 4.6.1 ɦ ʞ B RF ̥ Ĵ Å ɒ Ř ś ƅ B ˈ ş ×̷ σ ̸
" U F ȩ ś ʅ ǵ ̷ rms̸̸ ̷ ȩ ś Ǥ ̕ ̀ 10 ï ̕ ̸
238 M SHB

-46.6

Measurement

Voltage

Phase

VoltagePhase

0.01 %

0.02˚

0.004 %

0.009˚0.01 %

0.03 %
0.01 %
0.01 %
0.2 %0.01 %
0.01 %

0.01˚
0.06˚
0.06˚
0.06˚
0.06˚
0.1˚
0.2˚

0.010 %
0.02 %
0.06 %
0.03 %
0.06 %
0.04 %
0.05 %

0.006˚
0.02˚
0.03˚
0.05˚
0.05˚
0.03˚
0.03˚

Ňā
4.8. FEL ǝ ˇ B RF    ¦ y ¹N< SACLA B LLRF \ʁº.5$¼Bǝ
ˇB LLRF @9;RɸĈ@HYXɁĵɤÞ®B

FEL r¤=.;_g SLAC @X Linear
Coherent Light Source (LCLS) Ǟ Ǯ B SPring-8
Angstrom Compact free electron LAser (SACLA)
a}B FLASH $XFLASH <C 2015 ƁɤÞB̔ɍ

4.9. LCLS FLASH B Æ ̥ ü ̶ Ģ Ȝ r t ~ ˋ̵?>Rʯ[Y;X3Y4YBr¤B RF

LCLS <C RF ̥Ŕ̏$ÊɅ-Y2856MHz BŽ³śB Euro-XFEL @ÊɅ0Xs¦
rt~@Cʲ 3.1 @ɞ0U?ȻƝ$X ̥Ŕ̏@C RF ̥Ŕ̏=ȷ̥Ŕ̏B 2 ɢ̲$XLCSL = FLASH <C RF ̥Ŕ̏$ÊɅ-Y;"W̥Ŕ̏#VƊ%î-YX¦Bd

j¦CǗ MeV =ɒţ˔̯ļ=?8;XRF ̥Ŕ̏<Cgx¦#Vḁ̃Āǵ<¦\Ɗ%îÂŧý˸ɳ$ÊɅ-Y;XĿȭÓĘ=.;C476MHz ÓĘ\m¦<Â˲.Ɵʺ?Õư@";ʅĚĬ<ĒWî.ĢȜǗ\ 6 Ö.;

2856MHz ÓĘ\É8;X¯ý˸Ĭ̈@";2856MHz BÓĘC 60kW Bp¦ty¦<ńž.vky¦5W 8 ĖXkat¢¤Bÿ

05Q@ʀň¡¦q¦$ÊɅ-Y;"W+B¡

ǀ@ÊɅ-YXÕBkat¢¤BîüB¦q¦BhBya¤l$̊ʺ<XƊ%Åɒ¥ǀž˓ǘCŊ̥üBɠɒĬ¥ȧʳĬ\ÊɅî-Y5̥Ŕ¦C LCLS <C 2856MHz

FLASH <C 1.3GHz Bý˸ɳ<ý˸-YX§ǜ
SACLA <Cȷ̥Ŕ̏$ǄɅ-Y;"W̥Ŕ̏#VC500keV 2µs žB̥Ŕ¦$Ɗ%îY¦{|< 2µs B®#V 1ns tžB̥Ŕ¦$ðWî-YXðWî-Y5¦C˸ƅĴʑ= 3 ȐBɛȕĴʑ@UWǗą fs B¤{̒@Ĵʑ-YX+BĴʑ˾ɡ<C̥Ŕ
¦Bd

j¦=

tž@Ơ/; 5712MHzB ï Ģ Ģ Ȝ Ǘ B ý ˸ ɳ ̷ 238MHz,  476MHz,
1428MHz, 2856MHz̸$ÊɅ-Y;XSACLA<CÆdj¦̯ļ<Bý˸ɳ@ţ.;č.

ya¤lÅɒ÷ƚ$ʺȗ-Y;Xʲ 4.8@̽9BǝˇBȻƝ\N=QX

.;˓ǘ0XRF ̥Ŕ̏"UF3B©ȡB 2 ǮBý˸ɳC3Y4YȽɧBkat¢¤\ƾ7ÕBÅɒǀž\Æ̥üBkat¢¤ÿǀ
ÓĘ@ţ.; IQ Ň˓\ʯ+=@UW÷ƚ.;X[18]+YVB|<C 2830.5MHz \ĿȭÓĘ=.;"WÅɒǀžBǿîC 25.5MHz B
IF ÓĘ\ 102MHz Bk¢|k<āÉ0X ADC \Ʌ;ˑOĒX+=<ʯ8;XÿǀB÷ƚ@RĜȅ@ 102MHz Bk¢|k<āÉ0X DAC \ɅX̷Ĳ 4.9.1 ďȶ̸hÓĘC 476MHz ĿȭÓĘ@t\̊Ɍ.;Â˲.;XȻ@ya¤l$Ɵʺ?¦ö̀Ǥ̕yˇʓÕư¦q¦Ŝ̵t~¦r¤?>BÕư@CãÓĘ\Ʌ5ÓĘÂ˲ɺ$ÊɅ-Y;X

ʲ 4.8 LCLS,SACLA,FLASH B RF    ¦ y
̬ɐ

LCLS

SACLA

FLASH

̥Ŕ̏

RF gunthermionicRF gungun
ĿȭĢȜǗ

2.8GHz

5.7GHz1.3GHz

ý˸ɦȟ

ŽÂŧ

ŽÂŧ

˞Âŧ

ʒW˯.

120Hz

60Hz

10Hz

Ĳ 4.9.1
 LCLS B ¯ ý ˸ ̈ B Ȅ ƭ  î è [18]
(~800µs bunch train)

ǝˇB̒-

2km

1km

300m

Ĳ 4.9.2 LCLS B   h Ó Ę Â ˲ Ȝ Ɛ î è [18] FLASH <C̥Ŕ̏=.; RF ̥Ŕ̏$ý˸ɳƚ$ʯ[Y;XĿȭÓĘCĜ˧m¦<Â

=.; 1.3GHz ˞Âŧý˸ɳ$ÊɅ-Y;X˲-YäŦ̈¦ö̀Ǥ̕\ȩś0Xɱư̥Ŕ¦BŜ̵¦q¦?>ya¤l$̊ʺ?ɱư@9¢t̒CǨŊ 800µs =̒'ktB?#@ʒW˯.$ 1MHz Bk¢;Cãˢ̒\Řśă.5ã^a\˷.;t$X[19]˞Âŧý˸ɦȟ<C RF ÿǀ@UXɦȟBæǀĢȜǗB1Y$ɍɄ0X5Q

ĿȭÓĘ$Â˲-YXt

é<ɦȟæǀĢȜǗ\˓ǘ0X`¦e£¦`¦|k÷ƚ¦¦¢¦`¤l@UX1Y\ʷȍ0X$Ŗĵ.;X̷Ĳ
4.9.3 ďȶ̸ý˸ɦȟBǀžÅɒǿî@C®̕

5.

終わりに

5=!ˌ̷ȵɂ$X#?̸͂\E=9f¦m

ĢȜǗ=.; 250kHz N5C54MHz $̄ƺ-Yt̷FEL ǝˇ̸<CęȂįħ̷ý˸ɦȟ̸syBȂĬB̷̩Åɒǀž̸$G85W=3Z85=

IQ ǿî\ʯ8;X+YVBíɂĭ

ˢCµTCA ʽǹBs¦$ E-XFEL <ÊɅ-

YX³ś<FLASH @";RāÉˋ̵$ʯ[Y;XíɂĭˢC¤%@ʕ.¦¦̷FEL ã̸$Ŏ<VYʝʮ̷Ŝ̵¦q¦̸@ȫ˟.;RV!Xęįħé@ˇʓ-YX³ś

B̩\3Z!X5Q@CƿǊʙ̷Æ̥ü̶ĢȜr<Wh¤ʎBʎ̌@ţ0Xǿ˅S®ƤŔʎt~̸$įħ@Ȃ˗̷˽˦¦y̸\̉W

@UXāÉªʥ̷Single Event Upset̸?>Bǿ˅ƿǊǽ̷ĿȭÓĘh̸\ǀ8;ya¤l\Ě[2XN5įħ3Y4YBî.;X̷̩Åɒǀž̸\ɚˍ.;1Y;XŁĚ@C3
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ʤɎ?̶˸fr¢<Ǘ ps ɡƅ<X+BƱț<Ĳ A2.4.2 r l x¦t_aqď ʘ Ǚ ȿ[1] ǲǮõƃ̶ĢȜ̥ü÷ƚBˇ˄̶dj¦ý˸Ĭv¦OHO’06̷2006̸
[2] ěɆãŚ̥ŔʎƐý˸Ĭ@")X̶ĢȜatBĿɝ ͉r¡¦r¤͉ʸÉ¥ˋ̵̶d j¦ý˸Ĭv¦OHO’08
̷2008̸
[3] R. Bailey, “RF for accelerator”, CERN
Accelerator School, Ebeltoft, Denmark 8-17 June
2010[4] ȈǮÔak¢ȜÂ˲ĭˢatBĿɝf¦ɟ2013[5] ŊǾÑ§ȇű§̇®ǸŌ̶ĢȜak¢Ȝȩśo¢ɟ1992[6] Źųʶ§̦ǬĂGHz Ǥ¾B̶ĢȜĭˢˇ˄CQ îȹ2003

[7] T. Ohshima et. al., “Correction of Phase andAmplitude Error of RF Modulator and
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[10] H. Maesaka et. al.,” Design and Performance of
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