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中国科学院大学学报 ›› 2011, Vol. 28 ›› Issue (4): 462-466.DOI: 10.7523/j.issn.2095-6134.2011.4.006

• 论文 • 上一篇    下一篇

不规则形状粒子Fraunhofer衍射计算

赵剑琦   

  1. 中国科学院大气物理研究所大气科学和地球流体力学数值模拟国家重点实验室, 北京 100029
  • 收稿日期:2010-07-02 修回日期:2010-10-25 发布日期:2011-07-15
  • 基金资助:

    国家重点基础研究发展计划(2006CB403705)、国家自然科学基金(41075015, 41005086)与LASG自由探索项目资助 

Calculations of Fraunhofer diffraction by irregularly shaped particles

ZHAO Jian-Qi   

  1. LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China
  • Received:2010-07-02 Revised:2010-10-25 Published:2011-07-15

摘要:

讨论了半透明不规则形状粒子Fraunhofer衍射积分的计算问题.借助于标量Kirchhoff理论,推导出关于衍射的3种新的相互等价的1D围线积分形式,直接摆脱了通常2D面积分中繁琐的区域划分的束缚.在此基础上求得投影截面为任意多角形粒子衍射的解析结果.

关键词: 衍射, 多角形, 围线积分

Abstract:

Calculations of the Fraunhofer diffraction integrals for the translucent particles of irregular shape are discussed. Three kinds of new 1D contour integral for diffraction are derived by means of scalar Kirchhoff theory, and they are equivalent to each other and can get rid of the drawbacks of regional division in usual 2D surface integrals. Finally, analytical formula of diffraction integrals for the particles with arbitrarily polygonal projection are obtained.

Key words: diffraction, polygon, contour integration

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