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Types of Semiconductor Detectors S W McKnight and C A DiMarzio Outline • Bolometers • Photoconductive detectors • Photovoltaic detectors Bolometers Incident Radiation Absorbing film Semiconductor Bolometer Cryogenically cooled ~ 4.2 K Electric leads/ Heat sinks Semiconductor Bolometer E Ef k Eb Impurity level Binding Energy (Eb) ~ 50 meV Effect of ΔT on Si Bolometer Conductivity Ambient temperature = 4.2K → kT=0.362 meV Temperature = 4.3K → kT=0.371 meV Photoconductive Detectors E Eg k Conductivity Conductivity: σ = n e μ e=electron charge (1.6x10-19 C) =Electron scattering time (average time between scattering events) Mobility: Si μn (cm2/Vμp s) (cm2/V-s) 1350 480 CdS 250 15 GaAs 8500 400 InSb 100,000 1700 Material GaAs (77K) 200,000 10,000 Photoconductivity Dark current: σd = no e μn + po e μp Photocurrent: σph = Δn e μn + Δp e μp Δn = Δp = photo-induced carrier density (m-3) = Nph η /V Nph = incident photon flux (s-1) η = quantum efficiency = carrier recombination time V = sample volume Photoconductivity Recombination in n-type material: Steady-state solution: Quantum efficiency: η = (1-R) Pe-h Pe-h = probability of absorption creating electron-hole pair Photoconductors Material Eg (max) Material Eg (max) Si 1.1eV(i) (1.2μ) PbS 0.37eV (3.3μ) GaAs 1.43eV (0.87μ) InSb 0.18eV (6.9μ) Ge 0.67eV(i) (1.8μ) PbTe 0.29eV (4.3μ) CdS 2.42eV (0.51μ) CdTe 1.58eV (0.78μ) 0.24eV (5.2μ) (77K) 0.083eV (15μ) (77K) Hg0.3Cd0.7 Te Hg0.2Cd0.8 Te HgxCd1-xTe Band Gap Eg=-0.302+1.93x+ 5.35x10-4 T(1-2x) 0.810x2 + 0.823x3 Eg= -0.26eV HgTe “Zero-gap” (inverted bands) Eg= 1.6eV CdTe Photovoltaic Detectors • P-N junction detector • Incident light creates voltage • Same mechanism as solar cell P-N Junction E Donor Levels Ef Eg Ef electrons “holes” Acceptor Levels x Doped Semiconductor (p-type) Doped Semiconductor (n-type) P-N Junction - + E Ef electrons “holes” x P-N Junction E - + electrons “holes” Ef Depletion Region x P-N Junction E Ec Ef electrons “holes” Ev - + Depletion Region x P-N Junction Currents E Jdrift Jdiffusion Ec Vo Junction “built-in” voltage Ef Ev - + Depletion Region x P-N Junction Currents N-doped material: n≈Nd (# of donors) P-N Junction Currents (No Bias Voltage) Jdrift = A np = -Jo Jdiffusion = B e-Vo/kT JTotal = -Jo + B e-Vo/kT = 0 (equilibrium) → B= Jo e+Vo/kT Biased P-N Junction Jdiffusion E Jdrift Ec Vo-Va Va Ef Ev Depletion Region Va x P-N Junction Currents (Bias Voltage=Va) Jdrift = A np = Jo Jdiffusion = B e-(Vo-Va)/kT JTotal = -Jo + B e-(Vo-Va)/kT B= Jo e+Vo/kT → JTotal = Jo (eVa/kT -1 ) P-N Junction Current Junction Current (Amps) 0.09 0.08 0.07 0.06 IJunction Io=A Jo = 0.005 A - +V 0.05 Junction 0.04 0.03 0.02 0.01 0 -0.01 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 Va (volts) 0.4 0.6 0.8 1 Photovoltaic Detection E Jdrift Jdiffusion Ec Vo Junction “built-in” voltage Ef Ev - + Depletion Region x Photovoltaic Detection • Absorption in depletion region creates electrons/hole pairs • Built in electric field accelerates electrons and holes toward neutral region • Photocurrent adds Iph= η e Nph to drift current Junction Current (Amps) P-N Junction Photocurrent 0.06 0.04 Io=A Jo = 0.005 A Iph=A Jph = 0.02 A 0.02 0 -0.02 -1 -0.8 -0.6 -0.4 -0.2 0 0.2 Va (volts) 0.4 0.6 0.8 1 Photovoltaic Sensing Circuit + Vph - Photoconductive Sensing Circuit Iph - + Vd Photoconductive Detection E Jdrift Ec Vo+ Vd Ev Ef - + Depletion Region x Avalanche Photodetection E Jdrift Ec Vo+ Vd Ev Ef Depletion Region x Avalanche Photodiode • Large reverse bias on junction • Photoelectrons create electron/hole pairs in depletion region • Electron and holes can create more electron/hole pairs • Device has gain (like PMT)