Statistics of the charge spectrum of photo-multipliers and methods for absolute calibration

We derive the full expression for the shape of the charge spectrum that results from the illumination of a photo-multiplier tube. The derivation is for low intensity illumination with constant gain, a common condition for most nuclear and particle physics applications. Under these conditions, it is...

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Bibliographic Details
Published in:Journal of instrumentation 2020-02, Vol.15 (2), p.P02001-P02001
Main Author: Diwan, M.V.
Format: Article
Language:English
Subjects:
Analysis and statistical methods
Calibration
Derivation
Digitization
Illumination
INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY
Multipliers
NUCLEAR PHYSICS AND RADIATION PHYSICS
Particle physics
Photomultiplier tubes
Photon detectors for UV visible and IR photons (solid-state)
Photon detectors for UV visible and IR photons (vacuum)
Photon detectors for UV visible and IR photons (vacuum) (photomultipliers HPDs others)
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
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Summary:We derive the full expression for the shape of the charge spectrum that results from the illumination of a photo-multiplier tube. The derivation is for low intensity illumination with constant gain, a common condition for most nuclear and particle physics applications. Under these conditions, it is shown that an analytic expression can be formulated that describes details of the spectrum including the pedestal and dark noise with excellent fidelity to allow statistical fits to data. The derivation and full formula using either Gaussian or Poisson models for gain, and its limiting forms under various simplifying assumptions are presented with strategies on their use. The analytic description can be used to formulate data acquisition strategies to perform precise absolute calibration of photo-multipliers, the digitizers, and the data acquisition system.
ISSN:1748-0221
1748-0221
DOI:10.1088/1748-0221/15/02/P02001