修士論文 ä½ç½®åˆ†è§£èƒ½ã¨ã‚¨ãƒãƒ«ã‚®ãƒ¼åˆ†è§£èƒ½ã«å„ªã‚ŒãŸ ピクセル型CdTe ...
修士論文 ä½ç½®åˆ†è§£èƒ½ã¨ã‚¨ãƒãƒ«ã‚®ãƒ¼åˆ†è§£èƒ½ã«å„ªã‚ŒãŸ ピクセル型CdTe ...
修士論文 ä½ç½®åˆ†è§£èƒ½ã¨ã‚¨ãƒãƒ«ã‚®ãƒ¼åˆ†è§£èƒ½ã«å„ªã‚ŒãŸ 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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