Mathematical Sciences: Analytical and Numerical Methods in Radiative Transfer

这是一项延续了 研究者为构造精确数值解所做的努力 辐射传输理论中的两个问题：探照灯 问题的斜入射光束和一般 描述内部发射的非齐次问题。 的 基本的数值方法是所谓的FN方法， 真正希望其应用到上述的研究 两个问题将导致更强大的数值方法 一般非齐次线性迁移模型 现代技术所面临的众多重要问题之一 与光波的传输有关， 无线电波穿过地球大气层。 比如说 航天飞机宇航员不得不担心他们与 因为地球的大气层经常干扰 他们的无线电信号。 同样的问题出现在卫星上。 通信也是。 而不是解决一个像 一些科学家，比如校长， 研究人员，研究更简单的数学模型， 波在非均匀介质中的传播， 气氛 在这种情况下，主要研究者将研究 这样的问题在数字上。

This is a proposal that continues the principal investigator's efforts to construct accurate numerical solutions of two problems in radiative transfer theory: the searchlight problem for an obliquely incident beam and a general nonhomogeneous problem that describes internal emission. The basic numerical method is the so-called FN-method, and there is genuine hope that the research on its application to the above two problems will lead to robust numerical methods for more general nonhomogeneous linear transport models. One of the many important problems that modern technology has created is involved with the transmission of light waves and radio waves through the earth's atmosphere. For example, the shuttle astronauts have to worry about their communication with the earth because the earth's atmosphere very often interferes with their radio signals. The same problems arise in satellite communications as well. Rather than tackle a problem as large as the earth's atmosphere some scientists, like the principal investigator, study simpler mathematical models for the transmission of waves through inhomogeneous media like the atmosphere. In this case the principal investigator will study such problems numerically.