Tweed J, Wilson J W, Tripathi R K
Department of Mathematics and Statistics, Old Dominion University, Norfolk, VA 23529-0077, USA.
Adv Space Res. 2004;34(6):1311-8. doi: 10.1016/j.asr.2003.11.021.
Ion beam transport theory allows testing of material transmission properties in the laboratory environment generated by particle accelerators. This is a necessary step in materials development and evaluation for space use. The approximations used in solving the Boltzmann transport equation for the space setting are often not sufficient for laboratory work and those issues are the main emphasis of the present work. In consequence, an analytic solution of the linear Boltzmann equation is pursued in the form of a Green's function allowing flexibility in application to a broad range of boundary value problems. It has been established that simple solutions can be found for high charge and energy (HZE) ions by ignoring nuclear energy downshifts and dispersion. Such solutions were found to be supported by experimental evidence with HZE ion beams when multiple scattering was added. Lacking from the prior solutions were range and energy straggling and energy downshift with dispersion associated with nuclear events. Recently, we have found global solutions including these effects providing a broader class of HZE ion solutions.
离子束传输理论允许在由粒子加速器产生的实验室环境中测试材料的传输特性。这是用于太空的材料开发和评估中的必要步骤。在求解空间环境下的玻尔兹曼传输方程时所使用的近似方法，对于实验室工作而言往往并不充分，而这些问题是本研究的主要重点。因此，以格林函数的形式寻求线性玻尔兹曼方程的解析解，以便灵活应用于广泛的边值问题。已经确定，通过忽略核能下移和色散，可以找到高电荷和高能（HZE）离子的简单解。当加入多次散射时，发现此类解得到了HZE离子束实验证据的支持。先前的解缺乏射程、能量离散以及与核事件相关的带色散的能量下移。最近，我们已经找到了包括这些效应的整体解，从而提供了更广泛的一类HZE离子解。
