复宗量菲涅耳积分的数值计算  

Computation of Fresnel Integral of Complex Argument

作　　者：王嗣源[1] 廖延娜[1] 汪中德[1] 

机构地区：[1]西安邮电学院电信系,西安710061

出　　处：《西安邮电学院学报》1999年第4期49-52,共4页Journal of Xi'an Institute of Posts and Telecommunications

摘　　要：在一致性绕射系数的计算等方面，菲涅耳积分尤其是复宗量菲涅耳积分的数值计算问题非常突出。本文给出的计算复宗量菲涅耳积分的小宗量级数展开和大宗量渐进展开表达式使得整个复平面的菲涅耳积分计算误差小于１０－ ６，并进一步找到了小宗量与大宗量的衔接部分。这种方法具有运算速度快。In the computation of uniform diffraction coefficient,the computation of the Fresnel integral,especially the Fresnel integral of complex argument,is very diffcult.The series expansion of small argument Fresnel integral and the asymptotic expansion of big argument Fresnal integral, which method this paper gives make the error of computation of the main part of the complex argument smaller than10 -6 .And it find the connection of the big and small argument.The advantage of the method is it increase the speed of computation and decrease the usage of the memory space.

关 键 词：复宗量 菲涅耳积分 数值计算 

分 类 号：O241.83[理学—计算数学] O29[理学—数学]