[ ] [ ] [ ] [ ] [ ] [ ] ADC

[ ] [ ] [ ] [ ] [ ] [ ] ADC

BS1 m1 PMT m2 BS2 PMT1 PMT ADC PMT2

α PMT

α α = n ω n n Pn TMath::Poisson(x,[0]) 0.35 0.3 0.25 0.2 0.15 λ 1.5 ω n 2 = ( α 2 ) n n! e α 2 α 2 = λ = λn n! e λ Poisson Pn 0.1 0.05 0 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 TMath::Poisson(x,[0]) 0.6 0.5 0.4 0.3 0.2 0.1 λ 0.5 0 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 n n

μm ( J1 (z) I z ) 2 z = kr sin θ r PMT I TMath::Power(TMath::BesselJ1(x)/x,2)*(.5+.5*TMath::Sin(x*[0])) 0.25 0.2 0.15 0.1 0.05 0-6 -4-2 0 2 4 6 z

mm cm I TMath::Power(TMath::BesselJ1(x)/x,2)*(.5+.5*TMath::Sin(x*[0])) 0.25 0.2 0.15 0.1 0.05 0-6 -4-2 0 2 4 6 z

1 α (=fexp(-fδt)) λ η T τ log(1 α) * 2 λ η T τ (λ 0.3)

50μm PMT X 250μm 4mm PMT 500μm

PMT LED Kochi Toyonaka Giken 532nm 1mW 1.5mrad TTL 3.12V 15msec, 8% Bialkali 19% TTL HAMAMATSU PHOTONICS

Aluminized Mylar 0.15% ND Cr 0~99% 0%

50μm BS2cm 49μm ~1.5mm

ND

ADC Analog-to-Digital Converter PMT G.G. 5kHz ns 200ns PMT 20 G.G. 200ns λ

ADC λ200ns Gate 0.47 200ns 0.05 47MHz f 1 - e -τf 0.12 τ = PMT # of events histlaser_1 6 5 4 3 2 1 150 200 250 300 350 ADC Channel histlaser_1 Entries 1908363 Mean 137.6 RMS.41 λ200ns = 0.47 12%

M1 BS 25mm M6

M1 BS 1cm

M1 0.01mm, 0.5mm BS PMT Δx = 0.25mm PMT 500μm

ADC x = 0 [mm] OFF ON h01 1 Number of events 5 4 3 h01 1 Entries 576418 Mean 132.4 RMS 0.4846 2! / ndf 5067 / 27 Lambda 0.0007532! 0.0000376 Mean 3.098! 0.359 Sigma 7.921! 0.399 hbg 1 Number of events 6 5 4 3 hbg 1 Entries 1538978 Mean 132.4 RMS 0.412 2! / ndf 1.271e+04 / 26 Lambda 0.0004989! 0.0000190 Mean 2.139! 0.173 Sigma 7.295! 0.255 2 2 1 1 120 130 140 150 160 170 180 190 200 ADC Channel 1 1 120 130 140 150 160 170 180 190 200 ADC Channel λ

x = 0 [mm] ON OFF h01 1 Number of events 5 4 h01 1 Entries 576418 Mean 132.4 RMS 0.4846 2! / ndf 5067 / 27 Lambda 0.0007532! 0.0000376 Mean 3.098! 0.359 Sigma 7.921! 0.399 hbg 1 Number of events 6 5 4 hbg 1 Entries 1538978 Mean 132.4 RMS 0.412 2! / ndf 1.271e+04 / 26 Lambda 0.0004989! 0.0000190 Mean 2.139! 0.173 Sigma 7.295! 0.255 3 3 2 2 1 1 120 130 140 150 160 170 180 190 200 ADC Channel 1 1 120 130 140 150 160 170 180 190 200 ADC Channel λ x

λ λ(x) = Amp J 1 (k(x x 0 )) k(x x 0 ) 2 ( 1 2 + 1 2 sin 2π x x 1 T ) + const [Fraunhofer ] [ ] + [ ] λ Lambda (Fit)! 0.001 0.0009 0.0008 0.0007 2 " / ndf 18.82 / 11 Amp 0.001215! 0.00091 K 0.2! 0.3195 p0 0.8834! 1.782 T 1.603! 0.02484 p1-0.07759! 0.04041 C 0.0005885! 1.465e-05-3 " 0.9 0.8 0.7 0.6 0.5 0.4 0.0006 0.0005 0.3 0.2 0.1 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 x [mm] 0-20 -15 - -5 0 5 15 20

λ Lambda (Fit)! 0.001 0.0009 0.0008 2 " / ndf 18.82 / 11 Amp 0.001215! 0.00091 K 0.2! 0.3195 p0 0.8834! 1.782 T 1.603! 0.02484 p1-0.07759! 0.04041 C 0.0005885! 1.465e-05 0.0007 0.0006 0.0005 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 x [mm] (T=1.6mm)

1) λ

PMT2 λ LambdaVeto 0.14! 0.12 0.1 0.08 0.06 0.04 0.02 λ 0 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 ADC Channel x [mm]

2)

0.9 0.85-3! 0.8 0.75 0.7 0.65 0.6 12-20 -15 - -5 0 5 15 20

PMT τ 0 f = λ ηt [s 1 ] fe fτ dt α 1 e fτ α fτ log(1 α) λ η T τ

Delayed Choice ( ) A

TTL Transistor-transistor logic TTL Gate Generator Latch NIM NIM --> TTL 50!