On some behavioral anomalies in an analytical expression for the solid angle subtended by a circular detector from a symmetrically positioned linear source

被引：2

作者：

Pagnutti, Christopher ^{[1
]}

Galiano, Eduardo ^{[1
]}

机构：

[1] Laurentian Univ, Dept Phys, Sudbury, ON P3E 2C6, Canada

来源：

APPLIED RADIATION AND ISOTOPES | 2008年 / 66卷 / 01期

关键词：

solid angle; linear source; circular detector; analytical expression for solid angle; limiting geometrical cases; Monte Carlo code;

D O I：

10.1016/j.apradiso.2007.08.002

中图分类号：

O61 [无机化学];

学科分类号：

070301 ; 081704 ;

摘要：

We explore the causes of an interesting behavioral anomaly in an analytical result which has been previously derived for the solid angle subtended by a circular detector for a line source in a parallel plane-whose midpoint is coaxial with the detector's center. The anomalous behavior is verified by comparing it to the results produced by a special purpose Monte Carlo code. In addition, the relevant cases of a very large detector, a very long source, a very short source, and a very small detector, are investigated using standard analytical techniques in the theory of limits. We demonstrate that in these limiting cases, the analytical expression correlates well with the Monte Carlo code. These results are presented in analytical, and graphical forms. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：108 / 113

页数：6

共 13 条

[1] An analytical solution for the solid angle subtended by a circular detector for a symmetrically positioned linear source
Galiano, E
Pagnutti, C
APPLIED RADIATION AND ISOTOPES, 2006, 64 (05) : 603 - 607
[2] The solid angle subtended by a circular detector for a linear source
Pomme, S.
APPLIED RADIATION AND ISOTOPES, 2007, 65 (06) : 724 - 727
[3] Analytical calculations of the solid angle subtended by a circular disk detector at linear sources
Abbas, Mahmoud I.
NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 2018, 904 : 113 - 116
[4] Analytical formulae to calculate the solid angle subtended at an arbitrarily positioned point source by an elliptical radiation detector
Abbas, Mahmoud I.
Hammoud, Sami
Ibrahim, Tarek
Sakr, Mohamed
NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 2015, 771 : 121 - 125
[5] Analytical calculation of the solid angle subtended by a circular disc detector at a point cosine source
Prata, MJ
NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 2004, 521 (2-3): : 576 - 585
[6] Analytical calculation of the solid angle subtended by an arbitrarily positioned ellipsoid to a point source
Heitz, Eric
NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 2017, 852 : 10 - 14
[7] THE AVERAGE SOLID ANGLE SUBTENDED BY A CIRCULAR DETECTOR COAXIAL TO A CIRCULAR ISOTROPIC SOURCE
GARDNER, RP
VERGHESE, K
LEE, HM
NUCLEAR INSTRUMENTS & METHODS, 1980, 176 (03): : 615 - 617
[8] Calculation of the average solid angle subtended by a circular disc detector to a circular disc source
Yi, CY
Jun, JS
RADIATION PROTECTION DOSIMETRY, 1997, 69 (02) : 149 - 154
[9] Some further analytical results on the solid angle subtended at a point by a circular disk using elliptic integrals
Timus, D. M.
Prata, M. J.
Kalla, S. L.
Abbas, M. I.
Oner, F.
Galiano, E.
NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 2007, 580 (01): : 149 - 152
[10] MONTE-CARLO CALCULATION OF THE AVERAGE SOLID ANGLE SUBTENDED BY A PARALLELEPIPED DETECTOR FROM A DISTRIBUTED SOURCE
WIELOPOLSKI, L
NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, 1984, 226 (2-3): : 436 - 448

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