Comment on "Radial Dependence of Induced Current Density and Small Pixel Effect in Parallel-Plate Detectors"

Comment on "Radial Dependence of Induced Current Density and Small Pixel Effect in Parallel-Plate Detectors"

Samedov in [IEEE Trans. Nucl. Sci. 59(6), p. 3189 (2012)] obtained the exact analytical solution for the Green function, and the electric potential and the induced charge density for parallel-plate detector's geometry using a conformal mapping. However, we can find a discrepancy here between th...

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Veröffentlicht in:IEEE transactions on nuclear science 2019-09, Vol.66 (9), p.2153-2155
Hauptverfasser: Hwang, Chi-Ok, Ko, Youngmin, Kim, Mingyo, Lim, Jiseop
Format: Artikel
Sprache:eng
Schlagworte:
Charge density
Conformal mapping
Convergence
Dependence
Electric potential
Electrostatics
Exact solutions
Green's function methods
Green's functions
Induced charge
Mathematical analysis
Monte Carlo methods
parallel infinite plates
Rescaling
Scaling
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Zusammenfassung:Samedov in [IEEE Trans. Nucl. Sci. 59(6), p. 3189 (2012)] obtained the exact analytical solution for the Green function, and the electric potential and the induced charge density for parallel-plate detector's geometry using a conformal mapping. However, we can find a discrepancy here between the analytic induced charge solution and the one from series and diffusion simulations. Based on the total analytic sum of the induced charge on the plates being correct, we show that modification the Samedov's analytic solution could be a good approximation, after a little rescaling.
ISSN:0018-9499
1558-1578
DOI:10.1109/TNS.2019.2930123