Analysis of Gamma-ray Spectrum and Assessment of Corresponding Exposure Rate by Means of Response Matrix Method

Response Matrix에 의한 감마선(線) Spectrum 및 그 조사선량(照射線量) 해석(解析)

  • Kim, Seong-Kwan (Department of Physics, Chungnam National University) ;
  • Jun, Jae-Shik (Department of Physics, Chungnam National University)
  • 김성관 (충남대학교 이과대학 물리학과) ;
  • 전재식 (충남대학교 이과대학 물리학과)
  • Published : 1986.06.20

Abstract

A stud has been carried out for figuring out real photon spectrum from an observed gamma-ray spectrum by means of response matrix method, which is known one of the relatively convenient method for the estimation of exposure rate of a complex gamma ray field in comparison with graphical analysis and least square fitting of the measured spectrum. A 3'${\times}$3' cylindrical Nal(T1) scintillation detector in association with multichannel pulse height analyzer and six reference gamma ray sources covering the photon energy range of 0.05 to 2.0 MeV were used. In dividing the energy region for the construction of response matrix, two different approaches were attempted. One is dividing the entire energy region of interest into 20 bins, one of which corresponds to a width of 0.1 MeV to form $20{\times}20$ matrix, and another is dividing the 2 MeV region into 14 bins to form $14{\times}14$ matrix consists of $0.1(MeV)^{1/2}$ intervals assuming the resolution of the detector is dependent on square root of the incident photon energy. Inversion of thus constructed matrices was performed by a computor(P-E8/32) using the program attached to the end of this paper. The resultant exposure rates obtained by this method were in good agreement, within 10% with those calculated by ordinary formula widely used for a gamma-ray field of known energy and flux. It is concluded that the photen flux obtained by the response matrix constructed under the assumption of $E^{1/2}$ dependence is more realistic than that obtained by the matrix consist of identical energy bins in dosimetrical point of view.

$3'{\times}3'$ 원통형 NaI(T1) 검출기와 다중파고분석기(多重波高分析器)를 사용하여 측정한 $0.05{\sim}2.0MeV$ 구간의 ${\gamma}$선 spectrum에서 실(實)spctrum을 구하기 위하여 조사선량율(照射線量率)산출에 편리한 response matrix 방법을 사용하였다. Response mateix 구성에는, 위의 에네지 구간을 0.1 MeV의 등간격으로 나눈 $20{\times}20$ matrix로 한것과 검출기의 분해능이 입사 ${\gamma}$선 에너지의 평방근(平方根)에 의존한다는 가정하에 $0.1(MeV)^{1/2}$구간으로 나누어 $14{\times}14$ matrix로 구성한, 두가지 방법을 사용하였으며 그 역(逆)matrix들은 P-E 82/32 콤퓨터로 계산하였다. 이 방법으로 얻은 조사선량율은 에너지와 flux가 알려진 ${\gamma}$선량(陽)에 대하여 흔히 사용되는 계산방법으로 구한값과 10% 이내에서 일치하고 있으며, 선량측정학적(線量測定學的) 견지에서는 $E^{1/2}$ 구간으로 형성된 matrix가 등에너지간격으로 구성된 것보다 현실적인 것으로 판단되었다.

Keywords