A combination of CR-39 track detectors and a stepwise energy filter is a simple method to measure the energy spectrum of laser-accelerated protons. The number of etch pits in each area of the CR-39 detector is expected to represent the energy spectrum because the different thicknesses of the filters result in different areas into which the energy reaches in CR-39. However, the higher energy regions may overlap depending on the sensitivity of CR-39. To avoid overlapping, i.e., overestimation of the number of etch pits for each energy region, a correction method for the energy spectrum from the number of etch pits was developed. Based on the calculation results of the reaching energy values and incident energy ranges for CR-39, etch pits are selected that should be counted in each area. CR-39 with stepwise energy filters provides a corrected energy spectrum of laser-accelerated protons by applying the developed method.

CR-39轨道检测器和步进式能量滤波器的组合是一种测量激光加速质子能谱的简单方法。预计CR-39检测器每个区域中的蚀刻坑数量代表能量谱，因为不同厚度的滤光片会导致CR-39中能量到达的不同区域。但是，较高能量的区域可能会重叠，具体取决于CR-39的灵敏度。为了避免重叠，即，高估每个能量区域的蚀刻坑的数量，开发了一种根据蚀刻坑的数量对能量谱进行校正的方法。根据CR-39的到达能量值和入射能量范围的计算结果，选择应该在每个区域中计数的蚀刻坑。