衍射理论的数值分析

JIMI

论文编号:WLX056  字数:6287,页数:20 摘     要 本文阐述了衍射的基本理论,并用数值方法进行了研究和探讨.首先对基尔霍夫衍射公式进行直接的数值积分,得到该理论下的衍射场分布.然后对波动方程直接差分并进行数值求解,获得衍射场的分布图像.波动方程的直接求解提供了一种数值实验的手段.为便于比较,两者取相同的计算网格.计算结果表明,两者的计算结果基本一致. 关键字：衍射理论 波动方程 数值分析Abstract This article elaborated the diffraction elementary theory, and has conducted the research and the discussion with the numerical method. First carries on the direct numerical integration to the Jierhuofu diffraction formula, obtains under this theory diffraction field distribution. Then and carries on the value to the wave equation direct difference to solve, obtains the diffraction field the distributed image. Wave equation's direct solution has provided one value experiment's method. In order to be advantageous for the comparison, both take the same computation grid. The computed result indicated that both's computed result basic consistent. Keywords：Diffraction theory  Wave equation  Numerical Analysis 目录 中文摘要 i英文摘要 ii目录 iii第一章   绪论  11.1衍射现象的概念  11.2衍射理论的简单概述  11.3衍射的应用  11.4本文的主要工作  1第二章   衍射理论的基本理论 32.1  惠更斯原理 32.2  惠更斯-菲涅耳原理 32.3半波带法及矢量分析方法  52.4基尔霍夫衍射公式  62.5数值分析结果  7第三章   波动方程数值方法 93.1 波动方程的差分  93.2 数值计算模型 103.3 结果比较 11第四章   结论 12参考文献 13致谢 14附录 15