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Published byPhoebe Watkins Modified over 9 years ago
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P-N Junction Effects and Other Detectors S W McKnight and C A DiMarzio
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P-N Junction EfEf electrons “holes” E x +- N a =density of acceptors (m -3 ) N d =density of donors (m -3 )
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P-N Junction EfEf electrons “holes” E x + - Depletion Region
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Abrupt Junction x ρ -qN a qN d P-sideN-side -x op x on Charge conservation → q N a x op = q N d x on
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Electric Field Calculation Poisson’s Equation: 1D Junction:
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Abrupt Junction x P-sideN-side -x op x on
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P-N Junction EfEf E x EvEv EcEc Junction “built-in” voltage VoVo -x po x no 0 w
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Built-in Voltage and Electric Field
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Drift and Diffusion Currents Hole Drift Current: Hole Diffusion Current: Diffusion Constant:
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Built-in Voltage from Current Balance Jp (drift) + Jp (diffusion) = 0 Equilibrium condition:
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Built-in Voltage from Current Balance Electric field and Voltage:
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Built-in Voltage from Current Balance Since: p p ≈ N a ; n n ≈ N d
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Depletion Region Width
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Junction Capacitance 1. Reverse bias: Q = depletion charge (ionized donors and acceptors) 2. Forward bias: Q = diffusion charge storage
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Reverse Bias Junction Capacitance A=junction cross-section area
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Junction Capacitance
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Thermal Detectors Absorbing film Temperature Sensitive Device Electric leads/ Heat sinks Incident Radiation
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Thermal Detectors Thermocouple/Thermopile Detectors Semiconductor Bolometers Golay Cells Pyroelectric detectors
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Thermopile Detectors Absorbing film Electric leads/ Heat sinks Incident Radiation BiSb (Thermocouples in series)
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Golay Cell Absorber Mirror Deformable membrane Gas Light Source Detector Incident radiation
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Pyroelectric Detector + + + + + - - - - - P(T) = Polarization A
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Ferroelectric Materials P EaEa PrPr
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Ferroelectric Domains Unpoled P=0 Poled P=P r
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Temperature Dependence of Ferroelectric Effect T c = Ferroelectric Curie Temperature
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Pyroelectric Detectors Pyroelectric coefficent: Pyroelectric detector current : A d = detector area = temperature rate of change
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Pyroelectric Materials MaterialPyroelectric Coefficient BaTiO 3 2 x 10 -8 C cm -2 K -1 Triglycine Sulfate (TGS)2-3.5 x 10 -8 LiNbO 3 4 x 10 -9 LiTaO 3 6 x 10 -9 SrBaNbO 3 1 x 10 -7
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Pyroelectric Detectors Room temperature operation Good frequency response Low sensitivity
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