A simple mathematical method to determine the efficiencies of log-conical detectors |
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| Institution: | 1. Shandong Provincial Key Laboratory of Ocean Environment Monitoring Technology, Shandong Academy of Sciences Institute of Oceanographic Instrumentation, No. 28 Zhejiang Road, 266001 Qingdao, China;2. China National Petroleum Corporation Logging Co., Ltd., No. 142 Weiyang Road, 710021 Xian, China;1. Horia Hulubei National Institute for Physics and Nuclear Engineering, 077125 Magurele, Romania;2. Physics Department, University of Bucharest, 077125 Magurele, Romania;3. IAEA Environment Laboratories, 4a Quai Antoine 1er, Monte Carlo 98000, Monaco;1. Hellenic Centre for Marine Research, Institute of Oceanography, P.O. Box 712, GR-19013 Anavyssos, Greece;2. National Technical University of Athens, Department of Physics, Zografou Campus, GR-15780 Athens, Greece |
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| Abstract: | A new type of photon detector, log-conical, is proposed. The average path length traveled by an incident photon of arbitrary energy as well as the geometrical solid angle are calculated in a mathematical expression to determine the efficiencies of this detector for an arbitrarily positioned isotropic radiating point source. The off-axis effect of the source position was analyzed to demonstrate the powerful capability of the proposed method. The results are compared with those obtained using a standard 3″×3″ cylindrical detector of the same volume in order to show the enhanced efficiency of the log-conical detector. |
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