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BARBIER, Remi (University of Lyon 1 - IPNL) - NDIP 11 - IN2P3

BARBIER, Remi (University of Lyon 1 - IPNL) - NDIP 11 - IN2P3

BARBIER, Remi (University of Lyon 1 - IPNL) - NDIP 11 - IN2P3

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€<br />

Part I : PMT - photocathode and quantum efficiency<br />

Definitions:<br />

E 0<br />

EC EF EV γ<br />

PC band Model<br />

• EF Fermi level<br />

• EV valence band<br />

E g<br />

Alkali Photocathode<br />

• E0 vacuum level<br />

• EC conduction band<br />

• W th thermionic Work Function: W th = E 0 - E F<br />

• E A electron affinity: E A = E 0 – E C<br />

P e<br />

QE = ( 1 − R)<br />

× Pν µ ×<br />

1+ 1 µL<br />

• material<br />

• Cristal quality<br />

• Electron Affinity<br />

Rémi Barbier, <strong>NDIP</strong> 20<strong>11</strong>, <strong>Lyon</strong>, France, July 4-8 tutorial : photodetectors<br />

EC E0 E V<br />

γ<br />

R: reflection coefficient<br />

P ν : pe Prob. to be above E 0<br />

µ: full absorption coefficient<br />

L: pe mean escape length<br />

P e : Prob. to escape<br />

W Positive Electron Affinity<br />

phe<br />

• Wph photoemission threshold<br />

Wph = E0 – EV = Eg + EA Negative Electron Affinity<br />

CsO2 is applied -> NEA<br />

Alkali PC vacuum<br />

Wph = Eg III-V PC<br />

vacuum<br />

Wth ph<br />

Wph > Wth EA > 0<br />

NEA < 0<br />

phe<br />

Schottky effect:<br />

An external electric field at the PC<br />

surface has an effect on the<br />

photoemission efficiency: the potential<br />

barrier is reduced by an amount ΔW th<br />

€<br />

ΔW th =<br />

eΕ<br />

4πε 0<br />

E accelerating field<br />

W ph<br />

E g<br />

III-V Photocathode<br />

E F<br />

29

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