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修士論文 位置分解能とエネルギー分解能に優れた ピクセル型CdTe ...

修士論文 位置分解能とエネルギー分解能に優れた ピクセル型CdTe ...

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CdTe <br />

<br />

<br />

ISAS/JAXA <br />

oonuki@astro.isas.jaxa.jp<br />

2005 1


ii<br />

<br />

X <br />

<br />

(CdTe) CdTe<br />

CdZnTe NaI <br />

<br />

CdTe/CdZnTe Si <br />

<br />

5 mm 100 keV <br />

<br />

() <br />

<br />

2 5 mm CdTe/CdZnTe <br />

662 keV FWHM 20 keV (3%) <br />

<br />

<br />

<br />

<br />

X 500 µm<br />

1056 CdTe 60 keV <br />

0.9 keV (FWHM) CdTe


iii<br />

<br />

1 3<br />

2 CdTe/CdZnTe 7<br />

2.1 CdTe/CdZnTe . . . . . . . . . . . . . . . . . . . . . . . . 7<br />

2.2 Shockley-Ramo . . . . . . . . . . . . . . . . . . . 7<br />

2.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . 9<br />

2.4 . . . . . . . . . . . . . . . . . . . . . . 11<br />

2.5 . . . . . . . . . . . . . . . . . . . . . . . 14<br />

3 CdTe 15<br />

3.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15<br />

3.2 . . . . . . . . . . . . . . . . . 18<br />

3.2.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18<br />

3.2.2 µτ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19<br />

3.2.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19<br />

3.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20<br />

3.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23<br />

3.5 . . . . . . . . . . . . . . . . . 27<br />

3.6 . . . . . . . . . . . . 28<br />

4 X 31<br />

4.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31<br />

4.2 X . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31<br />

4.2.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31<br />

4.2.2 CdTe . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32<br />

4.2.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32<br />

4.2.4 LSI . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33<br />

4.2.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34<br />

4.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36<br />

4.3.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36<br />

4.3.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37<br />

4.3.3 . . . . . . . . . . . . . . . . . . . . . . . . . 38<br />

4.3.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38<br />

4.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . 41<br />

4.4.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41<br />

4.4.2 HV . . . . . . . . . . . . . . . . . . . . . . . 42<br />

4.4.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . 42<br />

4.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . 47<br />

4.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52<br />

4.7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52<br />

4.8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54


iv<br />

5 55<br />

A 5mm 8 × 8 CdTe 57<br />

A.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57<br />

A.1.1 8 × 8 CdTe . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57<br />

A.1.2 VA32TA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59<br />

A.1.3 VA32TA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59<br />

A.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60


v<br />

<br />

1.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4<br />

2.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . 8<br />

2.2 . . . . . . . . . . . . . . . . . . . . . . 8<br />

2.3 CdTe . . . . . . . . . . . . . . . . . . . . . . . 9<br />

2.4 CdTe . . . . . . . . . . . . . . . . . . . . . . . . . 10<br />

2.5 . . . . . . . . . . . . . . . . . . . . . . . 11<br />

2.6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12<br />

2.7 . . . . . . . . . . . . . . . . . . . . . . . 13<br />

2.8 . . . . . . . . . . . . . . . . . . 13<br />

2.9 / (W/L ) . . . 13<br />

2.10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14<br />

3.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16<br />

3.2 . . . . . . . . . . . 17<br />

3.3 . . . . . . . . . . . . . . . . . . . . . . . 17<br />

3.4 . . . . . . . . . . . . . . . . . . . . . 18<br />

3.5 µτ . . . . . . . . . . . . . . . . . . 19<br />

3.6 µτ . . . . . . . . . . . . . . . . 19<br />

3.7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20<br />

3.8 −20 ˚C 137 Cs 133 Ba . . . . . . . . . . . . . . . . . . . 21<br />

3.9 −20 ˚C 137 Cs . . . . . . . 22<br />

3.10 . . . . . . . . . . . . . . . 23<br />

3.11 662 keV . . . . . . . . . . . . . . . . . . . . . . . 24<br />

3.12 137 Cs . . . . . . . . . . . . . . . . . . . . . . . . . . 25<br />

3.13 2 . . . . . . . . . . . . . . . . . . . . . . 26<br />

3.14 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27<br />

3.15 (C.I.E.) . . . . . . . . . . . . . . . . 28<br />

3.16 W/L . . . . . . . . 29<br />

3.17 W/L . . . . . . . . . . . . . . . 29<br />

4.1 CdTe . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32<br />

4.2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33<br />

4.3 22 × 44 CdTe . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33<br />

4.4 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35<br />

4.5 . . . . . . . . . . . . . . . . . . . . . . . . . . . 35<br />

4.6 ASIC . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36<br />

4.7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37<br />

4.8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38<br />

4.9 −20 ˚C−50 ˚C 241 Am . . . . . . . . . . . . . . . 39<br />

4.10 −50˚C 57 Co . . . . . . . . . . . . . . . . . . . 40


vi<br />

4.11 . . . . . . . . . . . . . . . . . . . . . . . . . . . 42<br />

4.12 . . . . . . . . . . 43<br />

4.13 . 43<br />

4.14 . . . . . . . . . . . 44<br />

4.15 <br />

. . . . . . . . . . . . . . . . . . . . . . . . . . . . 45<br />

4.16 <br />

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45<br />

4.17 . . . . 46<br />

4.18 241 Am . . . . . . . . . . . . . . . . . . . . . . . . . . . 48<br />

4.19 60 keV (FWHM) . . . . . . . . . . . 49<br />

4.20 60 keV 2 . . . . . . . . . . . . . . . . . . . 49<br />

4.21 60keV . . . . . . . . . . . . . . . . . . . . . 49<br />

4.22 60 keV . . . . . . . . . . . . . . . . . . . . . . . . . 50<br />

4.23 60 keV . . . . . . . . . . . . . . . . . . 50<br />

4.24 60 keV () () . . . . . . . 50<br />

4.25 60 keV 2 . . . . . . . . 51<br />

4.26 60 keV . . . . . . 51<br />

4.27 1 1 . . . . . . . . . 52<br />

4.28 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53<br />

4.29 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53<br />

A.1 8 × 8 CdTe . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57<br />

A.2 8 × 8 CdTe . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58<br />

A.3 8 × 8 CdTe I-V I-T . . . . . . . . . . . . . . . . . . . . . . . . 58<br />

A.4 CdTe . . . . . 59<br />

A.5 VA32TA . . . . . . . . . . . . . . . . . . . . . 61<br />

A.6 57 Co . . . . . . . . . . . . . . . . . . . . . . 62<br />

A.7 57 Co . . . . . . . . . . . . . . . . . . 62<br />

A.8 −40 ˚C 57 Co . . . . . . . . . . . . . . . . . . . 63<br />

A.9 −40 ˚C 57 Co . . . . . . . . . . . . . . . . . . . . . . . 63


1<br />

<br />

1.1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4<br />

4.1 Caltech ASIC . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34<br />

4.2 Cd Te X . . . . . . . . . . . . . . . . . . . . . . . . . 41<br />

4.3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42


3<br />

1<br />

<br />

X <br />

<br />

X <br />

<br />

2010 NeXT <br />

X 12<br />

X <br />

Astro-E2 X (2005 ) 1 - 2 <br />

10 keV MeV X <br />

<br />

X <br />

NaI <br />

<br />

10 eV <br />

662 keV 6 %<br />

1mm <br />

<br />

X Si Ge <br />

eV <br />

<br />

100 µm <br />

Si X <br />

Ge <br />

0.67 eV <br />

NeXT X <br />

<br />

X <br />

(CdTe) CdTe 10 %<br />

(CdZnTe) 34II-VI <br />

(Z Cd =48, Z T e =52) ( 1.1) 1.1 NaI <br />

THM CdTe<br />

2627 1.5 eV<br />

ADCRORAD Traveling<br />

Heater Method (THM) p CdTe <br />

7 cm 5678<br />

CdZnTe 1.6 eV 10 10 Ω · cm <br />

eV products High Pressure Bridgman<br />

(HPB) CdZnTe 9CdZnTe HPB <br />

41011<br />

CdTe CdZnTe (µ) (τ)


4 1 <br />

1.1: NIST12<br />

ɛ (µτ) e (µτ) h<br />

Z [ g/cm 3 ] [ Ωcm ] [ eV ] [ eV ] [ cm 2 /V ] [ cm 2 /V ]<br />

CdTe 48/52 5.85 ∼ 1 ×10 9 1.4 4.43 ∼ 2 × 10 −3 ∼ 1 × 10 −4<br />

CdZnTe 48/30/52 5.81 ∼ 3 ×10 10 1.6 4.6 ∼ 1 × 10 −3 ∼ 3 × 10 −5<br />

Si 14 2.33 1 ×10 3 1.12 3.61 0.42 0.72<br />

Ge 32 5.33 1 ×10 2 0.72 2.98 0.22 0.84<br />

ɛ : <br />

µτ : <br />

1.1:


() <br />

100 keV <br />

5 mm <br />

<br />

Luke <br />

<br />

13<br />

(<br />

) <br />

21<br />

<br />

<br />

<br />

2 <br />

CdTe/CdZnTe 3 5mm CdTe <br />

4 <br />

100 keV X 0.5 – 1.0 mm CdTe/CdZnTe X <br />

<br />

114100 keV 1 keV(FWHM)<br />

CdTe/CdZnTe 5 CdTe <br />

500 µm <br />

<br />

5


7<br />

2<br />

CdTe/CdZnTe<br />

2.1 CdTe/CdZnTe <br />

X <br />

<br />

CdTe/CdZnTe <br />

<br />

<br />

2.2 Shockley-Ramo <br />

X <br />

<br />

<br />

ɛ 1.1 <br />

<br />

E<br />

S :<br />

∮<br />

Q = ɛE · dS (2.1)<br />

S<br />

ɛ () <br />

<br />

<br />

() Shockley-Ramo <br />

(Weighting Potential) (Weighting Field) <br />

1516<br />

<br />

<br />

∇ 2 φ = ρ ɛ<br />

(2.2)<br />

<br />

1. φ 1 <br />

2. 0 <br />

3. ρ = 0 <br />

3 2.2


8 2 CdTe/CdZnTe <br />

γ<br />

e e<br />

e<br />

h h<br />

h<br />

φ 0 (Weighting Potential)<br />

e-<br />

h<br />

electron<br />

component<br />

hole<br />

component<br />

z = Z<br />

Cathode<br />

Anode<br />

Cathode:<br />

Common. Electrd.<br />

Anode:<br />

Pixel<br />

2.1: <br />

<br />

<br />

<br />

2.2: <br />

1 <br />

<br />

<br />

<br />

Shockley-Ramo i Q <br />

<br />

i = dQ = qv · E(x) (2.3)<br />

dt<br />

Q = −q · ∆φ(x) (2.4)<br />

q v E(x) φ(x) x <br />

(Weighting Field) (Weighting Potential) 2<br />

Q q <br />

∆φ <br />

<br />

<br />

<br />

<br />

Shockley-Ramo <br />

<br />

Frisch grid <br />

131719


2.3. 9<br />

electron<br />

component<br />

total<br />

efficiency<br />

η<br />

hole<br />

component<br />

Cathode:<br />

Common. Electrd.<br />

Anode:<br />

Pixel<br />

2.3: CdTe <br />

<br />

2×2mm 2 0.5mm <br />

30V0.001[cm 2 V −1 ]µτ h 0.0001[cm 2 V −1 ] Hecht <br />

2.3 <br />

CdTe CdZnTe (µ) (τ) <br />

<br />

2.4 <br />

Q =<br />

∫ xend<br />

x init<br />

q(x)E(x) · dx (2.5)<br />

q(x) x <br />

z = Z <br />

( )<br />

|z − Z|<br />

q(z) = ±ne 0 exp − (2.6)<br />

λ<br />

n e 0 λ<br />

(µ [cm 2 /V −1 s −1 ]) (τ[s])<br />

(E [V cm −1 ]) <br />

λ e,h = (µτ) e,h E (2.7)<br />

<br />

2.1 <br />

E = −1/L (2.8)<br />

L <br />

2.2 <br />

<br />

2.6 2.5 <br />

Q e (Z) = ne 0<br />

L<br />

Q h (Z) = − ne 0<br />

L<br />

∫ zfinal<br />

z<br />

∫<br />

init<br />

zfinal<br />

z init<br />

(<br />

exp − z − Z )<br />

dz <br />

λ e<br />

(<br />

exp − Z − z ) (2.9)<br />

dz<br />

λ h


10 2 CdTe/CdZnTe <br />

2.9 <br />

η(Charge Induction Efficiency) <br />

<br />

η(Z) = Q = λ ( (<br />

e<br />

1 − exp − L − Z ))<br />

+ λ (<br />

h<br />

1 − exp<br />

(− Z ))<br />

(2.10)<br />

ne 0 L<br />

λ e L<br />

λ h<br />

Hecht 20Hecht <br />

<br />

(η) (µτE) CdTe/CdZnTe<br />

(µ) (τ) Z <br />

2.3 0.5 mm CdTe 30 V <br />

<br />

<br />

<br />

() ( 2.4) X <br />

( 2.5)<br />

<br />

<br />

<br />

<br />

CdTe 10 9−10 Ω · cm <br />

0.5 mm 100 V <br />

100 keV <br />

5 mm <br />

<br />

2.4: CdTe 241 Am 60 keV <br />

× 2 mm 2 0.5 mm <br />

20 ˚C 30 V


2.4. 11<br />

0.5mm thick<br />

η<br />

2mm thick<br />

5mm thick<br />

2.5: <br />

0.5 mm2 mm5 mm 1600 V/cmµτ e 0.001 cm 2 /V<br />

µτ h 0.0001 cm 2 /V Hecht <br />

2.4 <br />

<br />

<br />

<br />

<br />

<br />

212219<br />

2.6 <br />

W L <br />

(W ≤ L) a 25W <br />

<br />

2.6 <br />

1<br />

1. z = L φ(x, y, L) = φ L (x, y) 1<br />

0 <br />

2. z = L φ(x, y, z) = 0<br />

3. ρ = 0 <br />

<br />

φ(x, y, z) = X(x)Y (y)Z(z) (2.11)<br />

<br />

1 x,y <br />

y φ(x, z) = X(x)Z(z) <br />

coplanar 23


12 2 CdTe/CdZnTe <br />

y<br />

Cathode:<br />

Common Electrode<br />

Anode:<br />

Pixel Electrodes<br />

γ<br />

a<br />

e e<br />

e<br />

h h<br />

h<br />

W<br />

z<br />

x<br />

L<br />

2.6: <br />

<br />

<br />

φ(x, y, z) =<br />

∞∑<br />

n,m=1<br />

A m,n sin(α n x) sin(β m y) sinh(γ n,m z) (2.12)<br />

α n = nπ a , β m = mπ<br />

a , γ n,m = √ α 2 n + β 2 m<br />

A m,n 1 <br />

4<br />

A n,m =<br />

a 2 π 2 sinh γ n,m L f m f n (2.13)<br />

( mπ(a + W )<br />

f m = cos<br />

− mπ(a − W ) )<br />

( nπ(a + W )<br />

, f n = cos<br />

− nπ(a − W ) )<br />

2a<br />

2a<br />

2a<br />

2a<br />

W L (W/L ) 0.4 2.7 <br />

2.12 nm <br />

<br />

n = m = 500 <br />

n m <br />

2.7 2.8 4 <br />

<br />

<br />

<br />

2.9 <br />

W L (W/L ) <br />

( W/L=inifinity) <br />

W/L


2.4. 13<br />

d = 0.7 (W/2)<br />

d = W<br />

φ 0 (Weighting Potential)<br />

Pixel<br />

d = 0 d = 1.3 (W/2)<br />

d = 0<br />

d = 0.7 (W/2)<br />

d = 1.3 (W/2)<br />

d = W<br />

Cathode:<br />

Common. Electrd.<br />

Anode:<br />

Pixel<br />

2.7: <br />

W/L 0.4 <br />

<br />

2.8: <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

φ 0 (Weighting Potential)<br />

W/L = infinity.<br />

W/L = 1<br />

W/L = 0.4<br />

W/L = 0.2<br />

W/L = 0.1<br />

Cathode:<br />

Common. Electrd.<br />

Anode:<br />

Pixel<br />

2.9: (L) <br />

(W)


14 2 CdTe/CdZnTe <br />

2.5 <br />

CdTe/CdZnTe 100keV <br />

<br />

<br />

(Sigle Polarity Charge Sensing Technique)<br />

Luke 1324 2.10<br />

<br />

( A B) <br />

( A) <br />

A B <br />

<br />

(φ A − φ B ) 0 <br />

<br />

5mm CdZnTe 122keV 4keV(FWHM)<br />

1718<br />

<br />

Barrett 21<br />

() <br />

W/L 2.9 <br />

<br />

<br />

<br />

5mm 2.2 mm CdTe 122 keV<br />

6 keV(FWHM) 221925<br />

<br />

µ τ <br />

3 5 mm <br />

4 <br />

γ<br />

C<br />

e e<br />

e<br />

h h<br />

h<br />

Q<br />

A<br />

Q<br />

φa<br />

B<br />

φb<br />

φa − φb<br />

2.10: <br />

<br />

φ a − φ b


15<br />

3<br />

CdTe<br />

<br />

5 mm CdTe <br />

137 Cs 662 keV <br />

20 keV(3 %) <br />

<br />

<br />

<br />

<br />

3.1 <br />

CdTe/CdZnTe <br />

µ τ <br />

<br />

µτ µτ <br />

28<br />

<br />

<br />

N<br />

<br />

µτ <br />

Hecht (2.10) <br />

z = Z <br />

zi = (Z/L) · N 2.12 2.4 <br />

η =<br />

N∑<br />

i=zi<br />

(<br />

exp − i − zi )<br />

(φ[i + 1] − φ[i]) +<br />

λ e<br />

1∑<br />

i=zi<br />

(<br />

exp − zi − i )<br />

(φ[i] − φ[i − 1]) (3.1)<br />

λ h<br />

<br />

3.1 2.10 3.1 <br />

(∆z = (L/N)) ∆t <br />

∆t = ∆z<br />

µE<br />

2.10 3.1 <br />

3.1 <br />

<br />

<br />

THM CdTe µ<br />

(3.2)


16 3 CdTe <br />

Input W, L.<br />

Loop through z from 0 to L<br />

Calculate Weightng Potential: φ(z)<br />

Input E, (µτ)e, (µτ)h, µe, µh<br />

Parameters and contents.<br />

W : pixel size<br />

L : thickness of the detector<br />

φ(z) : weighting potential at depth z<br />

E : strength of electric field<br />

(µτ)e : product of electron<br />

(µτ)h : product of hole<br />

µe : mobility of electron<br />

µh : mobility of hole<br />

Loop through z from 0 to L<br />

Calculate Induced Charge:<br />

Qc(t) and Qp(t)<br />

at time t.<br />

Output.<br />

Qc(t) : induced charge on common elctrd.<br />

for each depth.<br />

Qp(t) : induced charge on pixel elctrd.<br />

for each depth.<br />

Output Time Profile of<br />

Induced Charge: Qc(t) & Qp(t)<br />

for each depth.<br />

3.1: <br />

<br />

τ <br />

41027<br />

µτ 0.0025<br />

cm 2 /V 0.0001 cm 2 /V (µ) 1400 cm 2 /V·s 75 cm 2 /V·s <br />

1633 V 1000 V <br />

4 × 4 CdTe <br />

3.2 <br />

<br />

<br />

(z=0) <br />

<br />

<br />

3.3 µs <br />

<br />

3.3


3.1. 17<br />

z = 0<br />

z = 2.5 mm<br />

z = 1.25 mm<br />

z = 3.75 mm<br />

z = 4.5 mm<br />

z = 3.75 mm<br />

z = 4.5 mm<br />

z = 2.5 mm<br />

z = 1.25 mm<br />

z = 0<br />

3.2: () () <br />

<br />

<br />

electron<br />

component<br />

total<br />

efficiency<br />

electron<br />

component<br />

total efficiency<br />

hole<br />

component<br />

hole<br />

component<br />

Cathode:<br />

Common. Electrd.<br />

Anode:<br />

Pixel<br />

Cathode:<br />

Common. Electrd.<br />

Anode:<br />

Pixel<br />

3.3: () ()


18 3 CdTe <br />

collecting time for Pixel:<br />

0.5 µs<br />

2 µs<br />

10 µs<br />

HV = 1000V<br />

(µτ)e = 0.0025<br />

(µτ)h = 0.0001<br />

collecting time:<br />

Common : 0.5µs<br />

3.4: <br />

<br />

<br />

<br />

<br />

<br />

<br />

2 <br />

<br />

3.2 <br />

3.2.1 <br />

5 mm <br />

µs <br />

<br />

<br />

4 × 4 CdTe 2 µs <br />

<br />

<br />

3.2 <br />

0.5 µs2 µs10 µs 3.4 <br />

0.5 µs <br />

<br />

<br />

<br />

<br />

<br />

0.5 µs 2 µs


3.2. 19<br />

HV = 1000V<br />

(µτ)h = 0.0001<br />

(µτ)e = 0.005<br />

(µτ)e = 0.0025<br />

(µτ)e = 0.001<br />

(µτ)e = 0.0005<br />

collecting time:<br />

Common : 0.5µs<br />

Pixel : 2.0µs<br />

HV = 1000V<br />

(µτ)e = 0.0025<br />

(µτ)h = 0.0001<br />

(µτ)h = 0.0005<br />

(µτ)h = 0.00001<br />

(µτ)h = 0<br />

collecting time:<br />

Common : 0.5µs<br />

Pixel : 2.0µs<br />

3.5: µτ <br />

µτ <br />

<br />

<br />

3.6: µτ <br />

<br />

<br />

<br />

3.2.2 µτ <br />

µτ e (λ) <br />

<br />

<br />

<br />

<br />

3.5 (µτ) e <br />

<br />

(µτ) h <br />

<br />

<br />

<br />

3.6 (µτ) h <br />

3.2.3 <br />

(µτE) E (µτ) e,h <br />

(µτ) e,h <br />

3.7 <br />

<br />

2000 V x <br />

1000 V


20 3 CdTe <br />

2000V<br />

1000V<br />

500V<br />

250V<br />

(µτ)h = 0.0001<br />

(µτ)h = 0.0025<br />

collecting time:<br />

Common : 0.5µs<br />

Pixel : 2.0µs<br />

3.7: <br />

x <br />

3.3 <br />

µτ e µτ h<br />

µτ e,h<br />

<br />

<br />

<br />

3.8 <br />

−20 ˚C1000 V 0.5 µs<br />

2.0 µs 137 Cs 133 Ba 662 keV<br />

356 keV303 keV µτ e <br />

0.0025 cm 2 /Vµτ h 0.0001 cm 2 /V <br />

16 ( 3.9)<br />

1000V


3.3. 21<br />

3.8: −20˚C 137 Cs 133 Ba 137 Cs 662 keV 133 Ba 356 keV<br />

303 keV 1000 Vµτ e<br />

0.0025 cm 2 /Vµτ h 0.0001 cm 2 /V 0.5 µs 2 µs


22 3 CdTe <br />

3.9: 500V() 250V() −20˚C 137 Cs <br />

3.8


3.4. 23<br />

3.4 <br />

<br />

<br />

x <br />

662 keV 3.8<br />

137 Cs 50 keV <br />

3.10 662 keV <br />

<br />

662 keV ( 3.11) 3.12 <br />

<br />

21.2 keV <br />

100 – 200 keV 662 keV <br />

(S com ) (S pixel )<br />

(S com /S pixel ) 0.4 ( 3.12)<br />

<br />

74 %<br />

3.10: 50 keV <br />

662 keV


24 3 CdTe <br />

3.11: 662 keV () ()<br />

662 keV 662 keV


3.4. 25<br />

3.12: () ()<br />

S com /S pixel >0.4 <br />

<br />

0.4


26 3 CdTe <br />

2 <br />

31<br />

S pixel =<br />

S pixel<br />

1 − exp(−P 1 S com /S pixel ) − P 2 S com /S pixel<br />

(3.3)<br />

S pixel S com P 1 P 2 <br />

2 <br />

3.13 2 ( 3.8) x<br />

P 1 11.25P 2 0.025<br />

<br />

3.12 S com /S pixel <br />

<br />

3.13: 2


3.5. 27<br />

3.5 <br />

2 <br />

CdTe/CdZnTe <br />

1517343 <br />

<br />

3.3 <br />

3.14() <br />

3.3 3.14() <br />

<br />

<br />

3.14: ()


28 3 CdTe <br />

3.6 <br />

<br />

<br />

<br />

x <br />

x <br />

3.15 5 mm <br />

<br />

<br />

<br />

<br />

3.16 5 mm CdTe () <br />

2 % () <br />

W/L 5 mm <br />

W/L 0.4 <br />

3.17 2 mm <br />

W/L 0.15 300 µm <br />

2000 V/cmµτ e 0.0025 cm 2 /V µτ h 0.0001 cm 2 /V <br />

0.5 µs 2 µs <br />

<br />

W/L = 0.2<br />

W/L = 0.3<br />

W/L = 0.4<br />

W/L = 0.8<br />

3.15: (C.I.E.)


3.6. 29<br />

3.16: 5 mm CdTe W/L <br />

2 %<br />

<br />

3.17:


31<br />

4<br />

X<br />

4.1 <br />

NeXT X (HXI) 250 µm 1 keV <br />

1<br />

200 µm <br />

X <br />

200 µm 1024 1021 <br />

2 mm CdTe <br />

VA32TA 60 keV 1.6 keV(FWHM) <br />

35NeXT-HXI <br />

<br />

500 µm CdTe <br />

X <br />

(Caltech) CdZnTe <br />

1.3 × 2.5 cm 500µm 2 LSI( ASIC) <br />

CdTe <br />

<br />

4.2 X <br />

4.2.1 <br />

ASIC CdTe (4.1)<br />

CdTe 2 ASIC <br />

<br />

X 4.2(a) <br />

CdTe ASIC12bit ADC(ADC12062) <br />

ASIC FPGA(Actel A54SX72A) <br />

( MISC 1 ) (14.7456 MHz) 3 128kB SRAM (IDT71027) <br />

<br />

4.2(b) <br />

ASIC ADC MISC <br />

RS-422 PC <br />

<br />

1. : +5.0 V+2.5 V<br />

2. : +5.0 V+0.5 V<br />

1 Minimal Instruction Set Computer


32 4 X <br />

3. : +0.5 – 2.5 V<br />

4. : +0.1 – 0.5 V<br />

5. : ±10 V +5.0 V<br />

<br />

<br />

4.2.2 CdTe <br />

CdTe 4.3 CdTe <br />

Pt 2.5 × 1.5 cm 2 0.5 mm <br />

448 µm<br />

50 µm 24 × 44 1056 <br />

<br />

<br />

4.2.3 <br />

CdTe <br />

ASIC <br />

CdTe (Au) <br />

(In) (125 ˚C ) (20 g/pixel)<br />

3 25 µm <br />

35 – 50 µm 1<br />

2 – 5 µm CdTe <br />

In ASIC <br />

<br />

4.1:


4.2. X 33<br />

stud<br />

bump<br />

CdTe<br />

ASIC<br />

ADC<br />

MISC FPGA<br />

CdTe<br />

ASIC<br />

ADC<br />

CLK<br />

3x128kB SRAM<br />

CLK<br />

MISC<br />

SRAM<br />

Level Shifters<br />

PC<br />

Level Shifter<br />

(a)<br />

(b)<br />

4.2: (a) (b)CdTe <br />

ASICADCFPGA (MISC FPGA)SRAM <br />

DETAIL<br />

DETAIL<br />

4.3: 22 × 44 CdTe 1.29× 2.36 cm 2 0.5 mm <br />

498 µm 448 µm <br />

4.2.4 LSI<br />

4.2.4.1 <br />

CdTe ASIC(Caltech ASIC) <br />

(Caltech) VLSI 3637Caltech ASIC <br />

High Energy Focusing Telescope (HEFT) Constellation-X <br />

X 4.1 ASIC <br />

ASIC <br />

<br />

4.2.4.2 <br />

Caltech ASIC


34 4 X <br />

pixel 498 µm<br />

chip 1.3 × 2.5 cm 2<br />

24 × 48<br />

<br />

50 µW/pixel ( 50 mW/chip)<br />

2 %(5.5 %)<br />

FWHM: 300 eV (@ 0 pF)(10 %)<br />

4.1: Caltech ASIC <br />

4.4 – 4.5 <br />

100 ns 30 µs 16 <br />

1µs <br />

1 µs <br />

<br />

8 µs ASIC <br />

ADC <br />

4.6 ASIC <br />

DSP <br />

<br />

4.2.4.3 <br />

Caltech ASIC (Charge Sharing) <br />

ASIC <br />

8 9 <br />

() 18 2 <br />

<br />

<br />

<br />

1 18 <br />

× 16 288 ADC A/D 12bit ADC <br />

0.5KBytes <br />

4.2.5 <br />

Caltech ASIC <br />

<br />

<br />

1. <br />

<br />

1.0 %<br />

2 2 <br />

10 3 5


4.2. X 35<br />

+5V<br />

signal<br />

input<br />

40fF<br />

CSA<br />

0.5pF<br />

shaping<br />

amp.<br />

disc.<br />

trigger out<br />

test pulse<br />

input<br />

10fF<br />

1pF<br />

0.5pF<br />

to ADC<br />

16 capacitors / pixel<br />

readout busses<br />

(1 / pixel row)<br />

readout<br />

amp<br />

4.4: ASIC CSA<br />

<br />

s(t)<br />

s(t)<br />

s(t)<br />

t<br />

t<br />

t<br />

CSA<br />

i(t)<br />

shaping<br />

amp.<br />

disc.<br />

trigger<br />

MUX<br />

s(t)<br />

t<br />

4.5: CSA <br />

16


36 4 X <br />

4.6: ASIC ASIC 16 A/D <br />

2. 9 16 µs <br />

ADC <br />

<br />

3. ASIC <br />

4.6 6 ADC <br />

6 <br />

5 keV<br />

<br />

<br />

4. <br />

<br />

<br />

<br />

5. <br />

<br />

<br />

4.3 <br />

4.3.1 <br />

HV ASIC ASIC <br />

1ch(row=11, col=22) ON/OFF


4.3. 37<br />

<br />

6 <br />

4.3.2 <br />

ASIC <br />

<br />

<br />

HV OFF <br />

0.1 – 0.3 V MISC <br />

MISC ON/OFF<br />

<br />

20˚C −20˚C 10 × 8 <br />

0.1 V CdTe 27 keV 4.7 20˚C<br />

856 ± 46 eV (79 e − ) −20˚C 650 ± 39 eV<br />

(60 e − ) ASIC <br />

CdTe ASIC <br />

CdTe <br />

ASIC 4.7 <br />

CdTe <br />

7 <br />

400 eV ENC 37 e − Caltech <br />

<br />

4.7: 20˚C −20˚C <br />

CdTe ()<br />

37 e−


38 4 X <br />

4.3.3 <br />

CdTe 10 9 cm ·Ω <br />

ASIC <br />

4.4 CSA <br />

<br />

<br />

−20˚C−50˚C KEITHLEY237<br />

4.8 100 V −20 ˚C <br />

150nA −50˚C 3.3 nA <br />

−20˚C 100 pA/pixel −50˚C <br />

3 pA/pixel ASIC <br />

100 pA/pixel −20 ˚C 100 V −50 ˚C 300 V <br />

<br />

4.8: <br />

4.3.4 <br />

HV <br />

<br />

<br />

4.9 −20<br />

˚C −50˚C <br />

100 V −20˚C −50˚C 10˚C −50˚C <br />

14 keV 60 keV 0.67 keV <br />

0.89 keV <br />

<br />

CdTe (Charge Induction Efficiency:C.I.E.) <br />

CdTe (µ) (τ) ( µτ ) <br />

4.9 () <br />

µτ


4.3. 39<br />

4.9: −20 ˚C−50 ˚C 241 Am


40 4 X <br />

<br />

−50˚C 57 Co HV <br />

4.10 40 V100 V300 V <br />

40 V 122 keV <br />

300 V <br />

122 keV <br />

C.I.E. <br />

122 keV <br />

300 V 1.47 keV <br />

<br />

14 keV 40 V <br />

0.61 keV CdTe <br />

<br />

µτ <br />

<br />

4.10: −50˚C 57 Co <br />

40 V100 V300 V <br />

40 V 14 keV 0.61 keV(FWHM) <br />

122 keV 300 V 1.47 keV(FWHM)


4.4. 41<br />

X [keV] CdTe [µm]<br />

Cd K α 23.13 128<br />

Cd K β 26.11 180<br />

Te K α 27.37 64<br />

Te K β 31.00 88<br />

4.2: Cd Te X <br />

4.4 <br />

<br />

<br />

250 µm <br />

<br />

500 µm <br />

<br />

4.4.1 <br />

4.12 <br />

−50˚C 57 Co <br />

4.11 <br />

<br />

2 57 Co 122 keV 14 keV <br />

y=0 <br />

<br />

4.12<br />

5 keV <br />

<br />

<br />

<br />

Cd Te K (fluorescence yield) 80 %<br />

X <br />

4.2 Cd Te X <br />

500 µm X <br />

<br />

4.13 <br />

97 keV 23 keV 97 keV <br />

X 99 keV(=122 keV − 23 keV<br />

) 95 keV(=122 keV − 27keV) 23 keV <br />

Cd Te X


42 4 X <br />

4.11: <br />

<br />

4.4.2 HV <br />

X <br />

<br />

<br />

4.10 40 V,100 V,300 V 200 V <br />

<br />

<br />

2 <br />

40 V 10660 (53.3%) 7732 ( 38.7%) 1203 ( 6.02%) 405 ( 2.03%)<br />

100 V 12534 ( 62.7%) 6559 ( 32.8%) 639 ( 3.20%) 265 ( 1.32%)<br />

200 V 13183 ( 65.9%) 6023 ( 30.1%) 575 ( 2.88%) 219 ( 1.10%)<br />

300 V 13225 ( 66.1%) 5964 ( 29.8%) 598 ( 2.99%) 173 ( 0.865%)<br />

4.3: −50 ˚C 57 Co <br />

20000 4.3 <br />

5 keV <br />

4.14 2 2 20000 <br />

40 V 47 %<br />

200 V <br />

66 %2 33% <br />

4.4.3 <br />

Geant4 <br />

0.5 mm 25 × 15 mm 2 CdTe 40 cm <br />

57 Co CdTe


4.4. 43<br />

4.12: () ()122keV<br />

<br />

<br />

<br />

4.13: ()<br />

()


44 4 X <br />

4.14: <br />

<br />

50610 <br />

42217(83.4 %)2 8258(16 %)3 <br />

134(0.3 %)4 1 4.15 4.16<br />

122 keV X <br />

<br />

<br />

2 122 keV <br />

X <br />

16.6 %


4.4. 45<br />

4.15: <br />

4.16: <br />

() ()


46 4 X <br />

4.17:


4.5. 47<br />

4.5 <br />

500 µm <br />

<br />

<br />

µτ <br />

µτ µτ <br />

428<br />

<br />

241 Am 40 cm <br />

−50˚C 300 V <br />

<br />

2.8 % 4.1 36 4.18 7 × 7 <br />

<br />

60 keV <br />

1.0 keV(FWHM) 4.19 <br />

1.04 keV 0.10 keV 4.20 <br />

ADC 4.21 0.82 %<br />

327<br />

<br />

<br />

60 keV <br />

4.22 45 keV 65 keV <br />

8.9 % 1.1 %<br />

327<br />

60 keV () (<br />

) 4.23 60 keV <br />

4.24 60 keV <br />

<br />

µτ <br />

<br />

<br />

<br />

<br />

(DAQ)<br />

<br />

<br />

<br />

<br />

4.26 () <br />

45 keV 65 keV <br />

2.1 % 1.3 %


48 4 X <br />

4.18: 241 Am 7 × 7 () ()


4.5. 49<br />

4.19: 60 keV (FWHM) <br />

1.04 keV 0.10 keV <br />

4.20: 60 keV 2 <br />

<br />

4.21: 60 keV <br />

σ=0.82 %


50 4 X <br />

9500<br />

9000<br />

8500<br />

total counts<br />

8000<br />

7500<br />

7000<br />

6500<br />

6000<br />

5500<br />

5000<br />

2500 3000 3500 4000 4500<br />

60 keV peak counts<br />

4.22: 60 keV <br />

8.9 %<br />

<br />

4.23: 60 keV <br />

<br />

4.24: 60 keV () ()


4.5. 51<br />

4.25: 60 keV 2 <br />

<br />

4.26: 60 keV <br />

2.1 %


52 4 X <br />

4.6 <br />

CdTe CdZnTe 3<br />

Pt CdTe <br />

26<br />

−50˚C 100V <br />

241 Am 4.27 <br />

60keV <br />

20keV −20˚C <br />

<br />

4.27: −50˚C100 V 1<br />

<br />

<br />

4.7 <br />

500 µm 4.28 <br />

<br />

4.29(a) 70 mm 0.8 mm <br />

<br />

241 Am 57 Co 80 V <br />

4.29(b)(c) 4.29(b) 241 Am 13 – 26 keV <br />

4.29(c) 57 Co 122 keV <br />

500 µm <br />

100 keV


4.7. 53<br />

Source<br />

40cm<br />

Mask<br />

8mm<br />

CdTe<br />

hold stage<br />

detector box<br />

4.28: CdTe <br />

<br />

(a) mask photo<br />

(b) 13 — 26 keV<br />

(c) 105 — 130 keV<br />

4.29: (a) (b)(c)<br />

(b) 13 – 26 keV 241 Am (c) 105 – 130 keV <br />

57 Co


54 4 X <br />

4.8 <br />

CdTe 2 ASICIn/Au 500 µm <br />

−50 ˚C 14 keV<br />

60 keV 0.67 keV 0.89 keV (FWHM) <br />

40<br />

%<br />

0.82 %<br />

1056 ch 1.04 keV 60 keV <br />

8.9 % CdTe <br />

DAQ <br />

2.1%<br />

<br />

<br />

<br />

1 40 ms 25 Hz <br />

20 ms 50 Hz MISC FPGA <br />

FPGA <br />

1 mm CdTe <br />

(W/L ) 0.4<br />

4


55<br />

5<br />

<br />

CdTe/CdZnTe <br />

4 × 4 CdTe -20˚C 1000V <br />

662keV 20keV <br />

µτ <br />

<br />

<br />

<br />

<br />

X CdTe 1056<br />

500µm 14keV <br />

0.61keV <br />

<br />

<br />

<br />

1mm


57<br />

A<br />

5mm 8 × 8 CdTe<br />

<br />

A.1 <br />

LSIVA32TA 5mm CdTe<br />

CdTe <br />

A.1 <br />

CdTe (Fanout<br />

Board) ASIC VA32TA 2 FEC <br />

ASIC <br />

A.1: 8 × 8 CdTe 8×8CdTe <br />

(Fanout Board) (FEC) ASIC:VA32TA <br />

A.1.1<br />

8 × 8 CdTe <br />

CdTe A.2 Pt <br />

8 × 8 64 2 mm <br />

50 µm 1 mm <br />

<br />

(I-V) I-T A.3 <br />

I-T −20 ˚C <br />

−20 ˚C<br />

1000 V 30 nA


58 A 5mm 8 × 8 CdTe <br />

A.2: 8 × 8 CdTe <br />

A.3: 8 × 8 CdTe I-V I-T


A.1. 59<br />

A.1.2<br />

VA32TA <br />

CdTe VA32TA A.4 <br />

() CdTe In/Au <br />

VA32TA <br />

5 Fanout <br />

<br />

<br />

A.4: CdTe <br />

HV <br />

<br />

A.1.3<br />

VA32TA <br />

VA32TA IDEAS ASIC <br />

VA32TA 0.35 µm CMOS <br />

32 ASIC <br />

(DSSD) CdTe 8 × 8 CdTe <br />

35 20 MRad<br />

38<br />

VA32TA 35 VA32TA A.5 <br />

VA32TA VA TA VA µs <br />

(slow shaper)VA<br />

TA 300 nsec (fast shaper)<br />

OR <br />

+1.5 V−2.0 V+1.5 V−2.0 V <br />

500 µA <br />

<br />

A.5 VA32TA TA delay <br />

delay slow amp


60 A 5mm 8 × 8 CdTe <br />

2 µs VA32TA <br />

32 <br />

A.2 <br />

CdTe VA32TA VA-DAQ <br />

VA32TA FEC <br />

64ch A/D <br />

1. () <br />

<br />

2. <br />

3. () <br />

ADC 60 ch (10 keV ) <br />

<br />

4. <br />

<br />

57 Co A.6 −20 ˚C<br />

1000 V VA32TA 2 µs <br />

<br />

(FWHM) A.8 −40 ˚C 57 Co<br />

A.9 6.0 keV(FWHM)


A.2. 61<br />

Input<br />

Buffer<br />

S/H<br />

Semigaussian<br />

fast shaper<br />

+<br />

fixed width<br />

CSA<br />

Semigaussian<br />

slow shaper<br />

other 31 channels<br />

.............<br />

Multiplexer<br />

Level-sensitive<br />

Discriminator<br />

other 31 channels<br />

.............<br />

Wired OR<br />

VA<br />

Analog<br />

OUT<br />

Threshold<br />

TA<br />

Trigger<br />

OUT<br />

slow shaper<br />

threshold level<br />

fast shaper<br />

ta<br />

hold_b<br />

shift_in_b<br />

clock_b<br />

.........<br />

shift_out_b<br />

analog out<br />

ch0 ch1 ch2 ch3<br />

.........<br />

ch30 ch31<br />

A.5: VA32TA () ()VA32TA TA <br />

delay VA


62 A 5mm 8 × 8 CdTe <br />

A.6: 57 Co −20 ˚C1000 V <br />

A.7: 57 Co


A.2. 63<br />

A.8: −40 ˚C 57 Co 1000 V <br />

A.9: −40 ˚C 57 Co 1000 V


65<br />

<br />

<br />

2 <br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

<br />

241 Am <br />

CdTe <br />

<br />

<br />

<br />

1


67<br />

<br />

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gamma-ray detectors,” Nucl. Instr. and Method, A 463, pp. 250-267, 2001<br />

16, “ X CdTe/CdZnTe ,” <br />

, 2002


68 A 5mm 8 × 8 CdTe <br />

17M. L. McConnell, J. R. Macri, J. M. Ryan, K. Larso, L.-A. Hammel, G. Bernard, C.<br />

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SPIE,<br />

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,” , 2001<br />

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,” , 2002<br />

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No. 5, pp. 2453 - 2460, 2004<br />

35 , “Si CdTe ,” , 2004<br />

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38H. Tajima, et al. “Low Noise Double-Sided Silicon Strip Detector for Multiple-Compton<br />

Gamma-ray Telescope,” Proc. SPIE, vol. 4851, pp. 875, 2003

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