不规则形状粒子Fraunhofer衍射计算

摘要

Calculations of the Fraunhofer diffraction integrals for the translucent particles of irregular shape are discussed. Three kinds of new 1 D 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.%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.