CdTe γ 02cb059e :
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- みいか こうじょう
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1 CdTe γ 02cb059e :
2 2
3 i CdTe Pulse Shape A CdTe Flash ADC Pre Amp (H.V) CdTe Pre Amp ( ) τ B ( Trigger ) Shapping Amp Timing Single Channel Analyzer (Timing SCA)
4 ii Gate Generator Attenuator Trigger Pulse Strip.Sum Guard ring.sum Strip.Sum Guard ring.sum CdTe γ Guard ring.sum Hecht
5 iii ( 5mm 700V ) CdTe ( 5mm 700V ) A CdTe (ACRORAD ) Pixie-4 [5] Pixie-4 Trigger [5] CdTe Pixie CdTe CdTe (2.7) CdTe ( ) B Trigger Pulse Trigger Pulse Strip.Sum Guard ring.sum Strip.Sum Guard ring.sum GEANT
6 iv 5.2 CdTe Guard ring γ Hecht γ
7 v
8
9 γ γ NaI Ge NaI Ge Ge Ge NaI γ CdTe) 1.1 CdTe γ CdTe γ Ge 4 5 Si 100 [1] Ge (FWHM) Ge 0.1% NaI 8.5% CdTe 1.13% [2] CdTe Ge Si 48/ (g/cm 3 ) (ev) (ev/ ) (cm 2 /Vs)) (cm 2 /Vs) CdTe 10 CdTe X
10 2 1 [3] CdTe mm CdTe 2 FAST-SLOW [4] [2] MeV γ X CdTe 0.5 1mm CdTe 0.5 1mm γ CdTe CdTe CdTe γ γ Ge CdTe [6] [7] CdTe γ 1.2 CdTe γ Flash ADC mm 10mm 10mm CdTe 137 Cs γ CdTe Flash ADC Pre Amp ( Pre Amp ) Flash ADC CdTe v e v h ) τ e τ h x (v e v h τ e τ h ) γ γ
11 3 2 CdTe 10 CdTe γ CdTe (Hecht ) γ ( ) Anode Crystal dx e e h x dxh l Cathode 2.1 dq(x) = en 0 (dx e + dx h ) (2.1) l
12 4 2 dq(x) N 0 l v e,v h t e t h (2.1) dq(t) = en 0 (v e dt e + v h dt h ) (2.2) l (2.2) γ t Q(t) = en 0 (v e t e + v h t h ) (2.3) l Q = en 0 = Q 0 (2.4) Q 0 γ E γ Pre Amp V Q 0 E γ V Q 0 (2.5) V (t) C 2.2 (2.3) Pre Amp 2.2 t = 0 γ Q A B 0.8 C Charge 0.6 D Q electron electron+hole electron+hole hole Time [µs] 2.2 ( 5mm 700V )
13 2.3 CdTe Pulse Shape ( ) A B C A flat A B C D D l D γ CdTe B C 2.3 v e x B C γ x B C A ( ) flat A l A γ CdTe γ 2.3 CdTe Pulse Shape Ge CdTe 2.2 (2.2) dq(t) = en 0 (v e exp( t e )dt e + v h exp( t h )dt h ) (2.6) l τ e τ h τ e τ h (2.6) γ t Q(t) = en 0 l ( v e τ e (1 exp( t e ) + v h τ h (1 exp( t ) h ) τ e τ h [8] (2.7) Hecht (2.7) CdTe 2.3 (2.7)
14 A Charge B C D Q A Q Q C Q B Q D 0.2 electron electron+hole electron+hole hole Time [µs] 2.3 CdTe ( 5mm 700V ) (0 < k < 1) k Q A D = k A D Q 0 (2.8) (2.7) Q(t) x ( ) Q(x) = Q ( 0 v e τ e (1 exp( x ) (d x) ) + v h τ h (1 exp( ) l v e τ e v h τ h (2.9) = k(x)q 0 (2.9) γ
15 7 3 A A A Flash ADC 137 Cs γ 35 kev (FWHM) Trigger Pulse Flush ADC H.V CdTe Pre Amp Strip.Sum Flash ADC CH0 PC 3.1 A CdTe CdTe mm 10 mm 10 mm Pt (Pt/CdTe/Pt) Strip (S1,S2,S3,S4) Guard ring (G1,G2,G3) ( 3.3) Strip
16 8 3 A CdTe 10mm 10mm 5mm G1 G2 G3 S1 S2 S3 S4 G1 G2 G3 10mm S1 S2 S3 10mm S4 UP BOTTOM 3.2 CdTe (ACRORAD ) 3.3 CdTe Guard ring ( ) [3] CdTe [4] Flash ADC Flash ADC Pixie-4 (XIA ) Pixie MHz Flash ADC CdTe Pre Amp ±2 V Pixie-4 PXI/Compact PCI PXI/Compact PCI PXI Compact PCI NI PXI-1042 (NATIONAL INSTRUMENTS ) CPU (Windows2000) PC Pixie-4 Fast Filter Slow Filter 3.4 Pre Amp Rise Time Flat Time L Rise Time G Flat Time Fast Filter Trigger Slow Filter ( 3.5) 3.4 Pixie-4 [5] 3.5 Pixie-4 Trigger [5]
17 3.3 実験 Pre Amp CLEAR-PULSE 社製の 528A を使用した 3000 V の高圧にも耐えられるように Input コネクタは SHV になっている 帰還抵抗は 100 MΩ で 帰還容量は 1 pf である 1台で8チャンネル使用することがで きる 高圧電源 (H.V) ORTEC 660 を使用した 図 3.6 CdTe 検出器 図 3.7 Pixie 実験 700V の電圧を Strip 電極と Guard ring 電極の両方に印加し 4 本の Strip 電極をまとめた (Strip.Sum) の 信号を収集した CdTe 検出器を遮光されたアルミ製の箱の中に入れ GND は箱の GND に落とした 箱 と Pre Amp をアルミホイルで繋ぐことで Pre Amp の GND も箱の GND に落とした Trigger Pulse は Pixie-4 内のフィルタリングによって作った Rise Time は正孔による遅い立ち上がりの信号に対応するた め 最大の µ s に設定し Threshold はノイズを多く拾わない程度に低く設定した 線源は 137 Cs (662 kev) を使用し 陰極側から照射したデータを収集した 信号は全 5400 イベントを収集した 3.4 結果 解析 CdTe の波形 図 3.8 は実際に CdTe 検出器より得られた CdTe の波形である 式 (2.7) から計算した波形 (図 2.3) と良 く似ている
18 10 3 A Channel Time [us] 3.8 CdTe Pre Amp 3.8 Pre Amp Pre Amp (2.7) 3.9 f (t) Pre Amp F(t) Pre Amp Q(t) i(t) f(t) C R F(t) 3.9 F(t) = Ri(t) (3.1) (3.2) Q(t) = C( f (t) F(t)) (3.2) i(t) = C( d f (t) dt (3.1) (3.3) τ = RC df(t) ) (3.3) dt d f (t) dt = df(t) dt + F(t) τ (3.4)
19 Pre Amp (3.4) ( df(t) f (t) = + F(t) ) dt (3.5) dt τ (3.5) Pre Amp ( 3.10) Pre Amp Channel Time [us] 3.10 τ = ns ( ) 5 (2.7) τ = τ e = τ h 6 (v e,v h,τ,x,q 0,t 0 ) CdTe t 0 t = 0 Delay 2.5 µs t = µs v e = 1.4 cm/µs v h = 0.15 cm/µs τ = 4.5 µs γ x γ E γ ( E γ Q 0 E γ Q 0 ) 3.11 CdTe (2.7) γ E γ γ x ( 3.12)
20 12 3 A E γ =5710 [ch] x=0.45 [mm] E γ =5583 [ch] x=0.35 [cm] E γ =5528 [ch] x=0.24 [cm] E γ =5502 [ch] x=0.18 [cm] CdTe (2.7) τ E γ x τ = 4.5 µs (2.9) (ADC Channel) ( 3.13) (x ) τ ( 3.14) τ = τ = 4.5 (2.9) ( 3.15) 3.5 A 137 Cs 662 kev γ CdTe Flash ADC 700 V
21 Cs : 662 kev Count Number FWHM : 35 kev Channel Number 3.12 CdTe ( ) v e = 1.4 cm/µs v h = 0.15 cm/µs 10 ( 1 1.1) τ = 4.5 µs (3.4.4) (2.9) γ 3.12 (FWHM) 35 kev 5 mm CdTe
22 14 3 A CdTe Pixie-4 Trigger Pulse Pixie-4 Rise Time A Rise Time Rise Time B Trigger Trigger Pulse Pixie-4
23
24
25 17 4 B ( Trigger ) A x = Trigger Pulse Pixie-4 Pixie-4 (Rise Time) MAX Pixie-4 Trigger B Strip.Sum Trigger Pulse Pixie-4 γ CdTe B Strip Guard ring A Trigger Pulse B Guard ring.sum Pixie-4 Trigger Pulse CH0 Strip.Sum CH1 Guard ring.sum CH2 3ch 4.2 CdTe Flash ADC Pre Amp A Shapping Amp ORTEC 571 Strip.Sum 6 µs CdTe 6 µs Strip.Sum 20 µs 1000 mv Timing Single Channel Analyzer (Timing SCA) ORTEC MODEL 420A Timing SCA TTL (Transistor-Transistor Logic) 0.48 V 10 V
26 18 4 B ( Trigger ) Trigger Pulse H.V PreAmp Shapping Amp Timing SCA Gate Generator Attenuator Flash ADC CH0 CdTe Strip.Sum CH1 PC PreAmp Guard ring.sum CH2 4.1 B 10 V MAX 0.48 V Shapping Amp Timing SCA 500 ns 4.5 V Gate Generator ORTEC 416A Gate Generator ( ) ( ) ORTEC 416A µs 2 10 V Pixie µs 2 V Timing SCA 2 µs 2 V Attenuator ( ) Attenuator Gate Generetor 2 V Pixie-4 ±2 V Pixie-4 Attenuator Pixie mv
27 CdTe Pulse 1000 mv 4.5 V 20 mv 20 us 0.5 us 6 us Shapping Amp Timing SCA 2 V Trigger Pulse 2 us 100 mv 2 us Gate Generator 4.2 Trigger Pulse Attenuator 4.3 Ch0 Trigger Ch1 Ch2 Strip.Sum Guad ring.sum 3 Ch1 Ch2 10 µ s Delay Trigger CdTe A GND GND A 137 Cs CdTe Trigger Pulse Strip.Sum Guard ring.sum 4.3 Trigger Pulse Strip.Sum Guard ring.sum Trigger Pulse Strip.Sum Guard ring.sum
28 20 4 B ( Trigger ) 4.3 Trigger Pulse Strip.Sum Guard ring.sum Guard ring.sum Strip Guard ring Strip Guard ring Strip.Sum Guard ring.sum
29 Strip.Sum Guard ring.sum Strip.Sum ( ) 4.4 Strip.Sum Guard ring.sum Guard ring.sum ( ) CdTe ( ) Guard ring.sum
30 22 4 B ( Trigger ) Guard ring.sum Guard ring.sum Guard ring.sum Guard ring.sum A (2.7) Strip.Sum Guard ring.sum (2.7) (2.7) 4.5 A ( ) 4.5 (x = 0.1 ) Trigger Pulse B A ( 3.12 ) (FWHM) 67 kev A
31 A B Trigger Pulse 4.5 x = x = 0 A Q=
32
33 A B ( ) GEANT3 ( 5.1) 5.1 GEANT3 x = 0 x = 0.5 γ γ
34 CdTe 5.2 CdTe γ 5.2 CdTe γ [9] keV γ CdTe µ = 0.4 (cm 1 ) CdTe γ ( ) 5.4 exponential γ CdTe γ keV γ CdTe CdTe B γ 5.5 (1) (2) (3) γ γ (1) (3) 7
35
36 28 5 CdTe
37 29 6 Guard ring.sum 6.1 Guard ring.sum Guard ring.sum γ ( 6.1) γ Strip Guard ring Guard ring Guard ring Guard ring.sum Guard ring.sum Guard ring t h t h Guard ring Q 1 Q Q 1 Q 2 Q 1 Q 2
38 30 6 Q Guard ring Strip Cathode Q Guard ring Strip Cathode - t Anode + Strip Guard ring t Anode Strip Guard ring Q Q t + t - Q + Q t t Guard ring γ 6.2 Guard ring.sum 6.2 t h Guard ring.sum CdTe Guard ring.sum
39 Hecht Hecht ( 2 (2.7)) Hecht CdTe 137 Cs (662 kev) CdTe ( 5 5.2) γ CdTe Hecht 7.1 Hecht flat Hecht 7.1 Hecht Hecht 2 2
40 A 7.2 γ A γ x = γ 7.2 γ B,C 7.3 B x = 0 x = 0.1 B C 7.3
41 mm CdTe γ γ γ A Strip.Sum Flash ADC Trriger Hecht v e = 1.4 cm/µ v h = 0.15 cm/µ τ = 4.5 µs 137 Cs 662 kev γ 35 kev (FWHM) NaI(Tl) A 5 mm CdTe γ B Strip.Sum Guard ring.sum A B Trigger Flash ADC Guard ring.sum Hecht Hecht Strip Guard ring γ CdTe γ CdTe
42
43 35 CdTe CdTe CNS CNS ( )
44
45 37 [1] F. ( ) [2] M.Richter and P.Siffert,Nucl.Instrum.and Methods Phys.Res.,Sect.A322,529 (1992). [3] VLSI CdTe 2003 [4] CdTe (2005) [5] XIA Pixie-4 User s Manual [ [6] M.kurokawa et al.,ieee Trans.Nucl.Sci.50,1309(2003). [7] S.Shimoura,Nucl.Instrum.and Methods Phys.Res.,Sect.A525,188(2004). [8] K.Hecht,Z.Phys.77,235(1932). [9] T.Takahashi et al.,spie.vol4851,1228(2003).
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