Noise Sources in Semiconductor Detectors S W Mc

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Noise Sources in Semiconductor Detectors S W Mc. Knight and C A Di. Marzio

Noise Sources in Semiconductor Detectors S W Mc. Knight and C A Di. Marzio

Sources of Noise • Johnson Noise (Nyquist noise) – Random thermal fluctuations of electrons

Sources of Noise • Johnson Noise (Nyquist noise) – Random thermal fluctuations of electrons in resistive elements • Shot Noise – Statistical fluctuations in photo-electron generation • Generation-Recombination Noise – Statistical fluctuations in current carrier generation due to photons and thermal excitation and recombinations • 1/f Noise – Low-frequency noise related to interfaces and contacts

Johnson (Nyquist) Noise Connection between fluctuations and dissipation in system: Brownian motion: = slowly

Johnson (Nyquist) Noise Connection between fluctuations and dissipation in system: Brownian motion: = slowly varying external force F(t) = random thermal force drives system back towards equilibrium (v=0 for =0) F’(t) = fluctuation force

“Frictional” force Ensemble average: For time scales slow compared to thermal fluctuations:

“Frictional” force Ensemble average: For time scales slow compared to thermal fluctuations:

Electrical Analogy Circuit with self-inductance L: Current flows under influence of external emf +

Electrical Analogy Circuit with self-inductance L: Current flows under influence of external emf + fluctuating thermal emf: V + V(t) Average thermal force opposes current, drives system toward thermal equilibrium (I=0) Fluctuating thermal force creates thermal noise

Circuit Equation V R V

Circuit Equation V R V

Fluctuation-Dissipation Theorem “Frictional” force is related to the time correlation of the rapidly varying

Fluctuation-Dissipation Theorem “Frictional” force is related to the time correlation of the rapidly varying random fluctuation force

Resistance and Noise Time-correlation of random thermal voltage fluctuations:

Resistance and Noise Time-correlation of random thermal voltage fluctuations:

Spectral Density of Autocorrelation Function

Spectral Density of Autocorrelation Function

Voltage and Current Thermal Fluctuations “Johnson” or “Nyquist” noise

Voltage and Current Thermal Fluctuations “Johnson” or “Nyquist” noise

Shot Noise or G-R Noise From Poisson statistics:

Shot Noise or G-R Noise From Poisson statistics:

Noise in Photoconductors

Noise in Photoconductors