渺子成像術（Muography）是一種利用渺子來探測物體內部結構的成像技術。渺子具有能夠穿透數百至數千公尺岩層的能力，使其成為掃描山體與礦脈等大型結構的最佳粒子。同時，宇宙射線提供了一種天然且穩定的渺子來源，使渺子成像術得以實現。 然而，與其他高能物理實驗相同，渺子成像術本質上是一種計數實驗。因此，建立事件數與積分通量之間的轉換方法是必要的。在此背景下，幾何接受度（geometry acceptance）是轉換事件數量到粒子通量的必要參數。本文發展了一套演算法，可用於計算任何，可以被描述為凸多邊形平面集合之探測器的幾何接受度。 此外，幾何接受度同時也是決定探測器探測事件速率的關鍵因素。由於大多數渺子成像術實驗的事件數量很低，統計不確定性往往成為主要誤差來源。因此，透過對幾何接受度的研究，數種探測器形狀被提出，能夠提供調整和最佳化探測器形狀的方法，並讓探測器形狀可以最適合觀測任務。總結而之，本文所提出的形狀，可以客製化探測器縮短觀測時間或降低探測器建造成本。;Muography is a tomography technique that detects internal structures using muons. The ability of muons to pass through hundreds to thousands of meters of rock makes them the best particles for scanning large-scale structures, such as mountains and ore veins. On the other hand, cosmic rays provide an excellent natural radiation source for muography.
However, like other high-energy physics experiments, muography is fundamentally an event-counting experiment. Therefore, a method to convert the event number into the integrated flux is required. To achieve this, a method for calculating the geometry acceptance is necessary. Consequently, an algorithm capable of calculating the geometry acceptance for any detector that can be described as a group of convex polygonal planes was developed.
Furthermore, geometry acceptance is also the major factor determining detector efficiency. This is particularly important due to the low event rate in most muography experiments, which causes statistical error to become the dominant source of uncertainty. Therefore, a variety of detector geometries were developed and studied through geometry acceptance analysis, enabling methods to adjust and optimize detector geometry for specific observation missions. In summary, a custom detector design that achieves shorter detection duration or lower construction cost becomes possible.
