Position Resolution in DROIDs

2020

EPJ Web Conf.

Self Cite

The exact mathematical description of processes at registration of incident particles by a scintillation spectrometer with several photodetectors allows receiving correct formulae for the mean value and the variance of the amplitude at the output of photodetectors, and for the covariance between signals of photodetectors. It was shown that using the relative covariance of signals allows the experimental determination of the covariance in the light yield and the Fano factor in a scintillator. The important advantage of the proposed method is its independence on the gains and the noises of photodetectors electronics.

Section: Mathematical Model Of a Scintillation Detectormentioning

confidence: 99%

“…On the importance of the covariance between signals of photodetectors was emphasized in [9], [10]. From the PGF (9)…”

Section: Covariance Between Signals Of Photodetectors Of a Scintillatmentioning

confidence: 99%

Theoretical Approach to the Energy Resolution of a Scintillation Spectrometer with Several Photodetectors

2020

EPJ Web Conf.

Self Cite

“…The importance of the covariance between signals of detectors and its influences on the energy and spatial resolutions of a spectrometer was pointed out in previous studies . The covariance between signals of photodetectors Q k ( E ) and

Q_{k^{'}} ((), E)

is defined by the expression

\begin{matrix} lefttrue \\ cov (Q_{k} (E), Q_{k^{'}} (E)) = {(|, \frac{\partial^{2} f_{({}, Q_{k})} [E, ({}, s_{k})]}{\partial s_{k} \partial s_{k^{'}}})}_{({}, s_{k} = 1)} - {(|, \frac{\partial f_{({}, Q_{k})} [E, ({}, s_{k})]}{\partial s_{k}})}_{({}, s_{k} = 1)} \cdot {(|, \frac{\partial f_{({}, Q_{k})} [E, ({}, s_{k})]}{\partial s_{k^{'}}})}_{({}, s_{k} = 1)} = \\ \frac{E}{w} (F - 1) {(〈〉, {〈χ_{k}〉}_{D} {〈χ_{k^{'}}〉}_{D})}_{V} 〈g_{k}〉 〈g_{k^{'}}〉 + \frac{E^{2}}{w^{2}} ({(〈〉, {〈χ_{k}〉}_{D} {〈χ_{k^{'}}〉}_{D})}_{V} - {(〈〉, {(〈〉, χ_{k})}_{D})}_{V} {(〈〉, {(〈〉, χ_{k^{'}})}_{D})}_{V}) 〈g_{k}〉 〈g_{k^{'}}〉 . \end{matrix}

…”

Section: Covariance Between Signals Of Photodetectorsmentioning

confidence: 99%

“…The importance of the covariance between signals of detectors and its influences on the energy and spatial resolutions of a spectrometer was pointed out in previous studies. [10][11][12] The covariance between signals of photodetectors Q k (E) and Q k ′ E ð Þ is defined by the expression In (43), according to Schwarz's inequality,…”

Section: Covariance Between Signals Of Photodetectorsmentioning

confidence: 99%

How manyFanofactors should characterize anX‐ray scintillation spectrometer?

2019

X-Ray Spectrometry

Self Cite

Bousselham et al. in their article “Photoelectron Anticorrelations and Sub‐Poissonian Statistics in Scintillation Detectors” introduced two Fano factors—the Fano factor for scintillation photons and the Fano factor for photoelectrons. The exact mathematical description of processes at registration of X‐rays by a scintillation detector allows receiving correct formulae for the mean value and the variance of the amplitude at the output of a detector. From the analysis of these formulae, it follows that a scintillation detector should be characterized by only the one Fano factor determining fluctuations in the process of electron‐hole pairs generation. Only this Fano factor is determined by the electronic structure of the scintillation crystal and does not depend on the transparency and coating of the scintillation crystal, and the characteristic of photodetectors, and the crystal‐photodetector interfaces.

“…we have σ 8) where, by definition, 9) σ 2 i is the variance of the ith sensor signal, ρ i, j is the correlation coefficient between ith and jth signal fluctuations. For coinciding indices term…”

Section: Jinst 7 C06002mentioning

confidence: 99%

Inaccuracy of coordinate determined by several detectors' signals

2012

J. Inst.

For any position sensitive detector (PSD) the crucial characteristic for using as tracking or imaging detector is the accuracy of coordinate determination. Position resolution of PSD is closely connected not only with energy resolutions of spatially distributed sensors, but also with correlations between sensors' signal fluctuations. In this paper, the general relation between the position resolution of PSD and sensors' energy resolutions, which accounts for correlations between fluctuations, was derived. Using this general relation, the mean square deviation of reconstructed particle coordinate for PSD with two and three outputs were obtained. Experimental calibration data and a rather simple procedure of data processing based on derived formulae allow, without any technical improvement of position sensitive detector, significantly improve its position resolution.