基于魔方结构的全向γ成像探测器响应矩阵计算研究

Study on Calculation of Response Matrix for Omnidirectional Gamma Imaging Detector Based on Rubik’s Cube Structure

  • 摘要: γ射线成像是核设施辐射监测、核退役及应急响应中的关键技术,但现有编码孔与康普顿成像方法存在系统复杂、体积庞大等局限。基于角响应模式的成像方法因其结构紧凑、轻量化的潜力而受到关注,但其成像性能可能依赖于探测器布局设计,而传统蒙特卡罗模拟评估耗时过长,难以支撑大规模布局优化。针对这一问题,本文提出一种基于射线追踪与指数衰减规律的响应快速估算方法,将对633 763种布局的模拟简化为对35种基本情况的模拟,大幅提升布局筛选效率。以3×3×3正方体网格布局为研究对象,采用该方法计算其角响应特性,并从重建准确度、角分辨率、方向区分度、全向响应均匀性及探测效率5个维度进行成像性能评估,筛选出的优选布局在角度偏差、均匀性等指标上全面优于随机布局,能以更少单元达到与多数随机布局相当的性能水平。本文为魔方结构全向γ成像探测器的优化设计提供了高效计算工具与系统筛选方法,对推动轻量化、全向辐射成像技术的发展具有参考价值。

     

    Abstract: Gamma-ray imaging is a critical technology in radiation monitoring, nuclear decommissioning, and emergency response at nuclear facilities. However, existing pinhole and Compton imaging methods suffer from limitations such as system complexity and bulky size. Imaging methods based on angular response matrices have garnered attention due to their potential for compact and lightweight structures. However, their imaging performance may depend on detector layout design, and traditional Monte Carlo simulations are too time-consuming to support large-scale layout optimization. To address this issue, a fast response estimation method was proposed based on ray tracing and exponential decay laws, which will simplify the simulation of 633 763 layouts to the simulation of 35 basic scenarios, significantly improving layout screening efficiency. Taking a 3×3×3 cubic grid layout as the subject of study, this method was used to calculate its angular response characteristics. Imaging performance was evaluated across five dimensions: accuracy, angular resolution, directional discrimination, omnidirectional response uniformity, and detection efficiency. The optimized layout selected through this process outperformed random layouts across all metrics, including angular deviation and uniformity, and achieved performance levels comparable to most random layouts while using fewer units. This study provides an efficient computational tool and systematic screening method for the optimized design of omnidirectional γ-imaging detectors based on the Rubik’s cube structure, offering valuable insights for advancing the development of lightweight, omnidirectional radiation imaging technology.

     

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