Shinn J L, Wilson J W, Schimmerling W, Shavers M R, Miller J, Benton E V, Frank A L, Badavi F F
NASA Langley Research Center, Hampton, VA 23681-0001, USA.
Radiat Environ Biophys. 1995 Aug;34(3):155-9. doi: 10.1007/BF01211542.
The use of Green's function has played a fundamental role in transport calculations for high-charge high-energy (HZE) ions. Two recent developments have greatly advanced the practical aspects of implementation of these methods. The first was the formulation of a closed-form solution as a multiple fragmentation perturbation series. The second was the effective summation of the closed-form solution through nonperturbative techniques. The nonperturbative methods have been recently extended to an inhomogeneous, two-layer transport media to simulate the lead scattering foil present in the Lawrence Berkeley Laboratories (LBL) biomedical beam line used for cancer therapy. Such inhomogeneous codes are necessary for astronaut shielding in space. The transport codes utilize the Langley Research Center atomic and nuclear database. Transport code and database evaluation are performed by comparison with experiments performed at the LBL Bevalac facility using 670 A MeV 20Ne and 600 A MeV 56Fe ion beams. The comparison with a time-of-flight and delta E detector measurement for the 20Ne beam and the plastic nuclear track detectors for 56Fe show agreement up to 35%-40% in water and aluminium targets, respectively.
格林函数的应用在高电荷高能（HZE）离子的输运计算中发挥了重要作用。最近的两项进展极大地推动了这些方法在实际应用方面的发展。第一项是将封闭形式的解表述为多重碎裂微扰级数。第二项是通过非微扰技术对封闭形式的解进行有效求和。非微扰方法最近已扩展到非均匀的双层输运介质，以模拟劳伦斯伯克利国家实验室（LBL）用于癌症治疗的生物医学束流线上的铅散射箔。这种非均匀代码对于太空宇航员的防护是必要的。输运代码使用了兰利研究中心的原子和核数据库。通过与在LBL贝伐粒子加速器设施上使用670 A MeV的20Ne和600 A MeV的56Fe离子束进行的实验结果相比较，来进行输运代码和数据库评估。与20Ne束流的飞行时间和ΔE探测器测量结果以及56Fe的塑料核径迹探测器测量结果的比较表明，在水和铝靶中，分别有高达35% - 40%的一致性。
