Analytical expression to calculate total and full-energy peak efficiencies for cylindrical phoswich and lanthanum bromide scintillation detectors

Development of a Low Cost Gamma-Ray Imaging System Using Handheld Scintillation Detectors for Visual Surveying of Radiation Fields with Robots

“…The result is shown in Figure 4(b). Figure 4(b) agrees very well with our MATLAB model presented in Figure 4(a) for both the bare detector and the collimated detector and these both agree with experimental results from our previous work [6] and with the work in [8] and [9]. The scale of the efficiency is less in Figure 4(b) because our MATLAB simulation uses the total attenuation coefficient (including photo-electric effect, Compton scattering and pair production) while the MCNP data is only effected by the photoelectric cross section (since only the 662keV bin is used) [5].…”

“…A photomultiplier tube (PMT) translates the light output into a measurable electric current pulse and a multi-channel analyzer places the current pulses into energy bins creating a spectrum [5]. In our previous work [6], [7] we developed a MATLAB program that uses an analytical model based on [8] and [9] to calculate the counting efficiency of cylindrical inorganic scintillation detectors while measuring point sources of gamma radiation. We incorporated the addition of a lead collimator into our model and developed a prototype mobile robot that can identify the direction of local gammaray sources, track and move towards them and triangulate source positions in a plane.…”

Analytical calculations of the solid angle subtended by a circular detector at linear sources

“…He used a new axisymmetric radiation vector potential method to solve the geometrical efficiency of a line source and a circular disk detector when the line source is parallel to the detector axis. Recently, Selim and Abbas [2][3][4][5][6][7][8][9][10][11][12][13][14][15] calculated the geometrical, total and full-energy peak efficiencies for any source-detector configuration using spherical coordinates system. In this paper using the previous approach, we present a direct mathematical method to calculate the geometrical solid angle subtended by a cylindrical detector at arbitrarily positioned line sources.…”

A hybrid analytical-numerical method for efficiency calculations of spherical scintillation NaI(Tl) detectors and arbitrarily located point sources

“…In gamma ray spec trom e try, know ing the solid an gle W is the most impor tant and widely used to cal i brate the dif fer ent de tectors and de ter mine their var i ous ef fi cien cies (geo met rical, to tal and full-en ergy peak) [1][2][3][4][5][6][7][8][9][10][11][12]. Typ i cally, the ex per i men tal cal i bra tion pro cess for the gamma-ray detec tors is not easy, due to the fact that it is a hard work to ob tain the ex actly cal i brated g-sources of var i ous shapes and me dium [13][14][15]. There fore, there are many re ports which were done and de vel oped for gamma-spectrometries mea sure ment sys tems, where some of them used Monte Carlo, semi-em pir i cal, di rect math e mat i cal and ef fi ciency trans fer method in this cali bra tion pro cess [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15].…”