论文标题
在圆柱内爆的背景下评估质子X光片的直接反转
Evaluation of direct inversion of proton radiographs in the context of cylindrical implosions
论文作者
论文摘要
直接反转挠度测定数据，例如质子X光片和阴影图，是一个良好的问题，如果它们的轨迹不交叉，则具有独特的解决方案，用于每个粒子或射线的横向偏转。当轨迹交叉时，存在一套无限的解决方案。在质子射线照相中，直接反演决定了线的横向洛伦兹力。我们已经测试了五个公开可用的直接反转例程，以分析欧米茄激光器上圆柱体内爆的质子X光片。四个monge-ampèresolvers [github.com/flash-center/praline，github.com/flash-center/problem/problem，github.com/mfkasim1/mfkasim1/invert-shadowgraphy/tree/tree/fast-infast-infast-infast-com/ github.com/oxfordhed/proton-radiography-no-sourcography-no-source] and powerdiagram [github.com/mfkasim1/invert-hadowgraphy]。使用四个磁场和一个球形的四个场剖面产生了测试问题，在质子跟踪例程中具有不同的场幅度。两个monge-ampère求解器没有运行，其他两个轨迹越过时未能再现X光片，尽管对于一个田间轮廓，仅在边界处与原始的解决方案相差。即使质子轨迹越过时，功率 - 图形方法也成功，从而给出了最小化质子偏转的溶液，但由于产生一个足够尖锐的峰值而失败了。对于轨迹不交叉的情况，Monge-Ampère求解器的优势比Power-Diagram常规更快，在我们的测试中最高$ 1000美元。测试问题在pradformat [github.com/phyzicist/pradformat]的补充信息中提供。
Direct inversion of deflectometry data, such as proton radiographs and shadowgraphs, is a well-posed problem with a unique solution for the transverse deflection of each particle or ray if their trajectories do not cross. When trajectories cross, there exists an infinite set of solutions. In proton radiography direct inversion determines the line-integrated transverse Lorentz force. We have tested five publicly available direct inversion routines with a view to analyzing proton radiographs of cylindrical implosions on the OMEGA laser; four Monge-Ampère solvers [github.com/flash-center/PRaLine, github.com/flash-center/PROBLEM, github.com/mfkasim1/invert-shadowgraphy/tree/fast-inverse, github.com/OxfordHED/proton-radiography-no-source], and a power-diagram method [github.com/mfkasim1/invert-shadowgraphy]. Test problems were generated using four field profiles, three cylindrical and one spherical, with varying field amplitudes in proton-tracing routines. Two Monge-Ampère solvers did not run, the other two failed to reproduce radiographs when trajectories crossed, although for one field profile the solutions only diverged from the original at the boundary. The power-diagram method was successful even when proton trajectories crossed, giving a solution that minimized proton deflection, but failed for profiles that produced a single, sufficiently sharp peak. For cases where trajectories do not cross, the Monge-Ampère solvers have the advantage of being considerably faster than the power-diagram routine, up to $1000$ times in our tests. The test problems are provided in the supplementary information in pradformat [github.com/phyzicist/pradformat].
