高等学校化学学报 ›› 2003, Vol. 24 ›› Issue (2): 350.

• 论文 • 上一篇    下一篇

材料介观有序结构小角光散射图案的FFT算法

洪珂, 王涛, 张红东, 杨玉良   

  1. 复旦大学高分子科学系, 聚合物分子工程教育部重点实验室, 上海 200433
  • 收稿日期:2001-12-20 出版日期:2003-02-24 发布日期:2003-02-24
  • 通讯作者: 张红东(1967年出生),男,副教授,主要从事高分子物理研究.E-mail:zhanghd@etang.com E-mail:zhanghd@etang.com
  • 基金资助:

    国家自然科学基金(批准号:20004002,19832050);国家重大基础研究规划项目(批准号:G1999064800);优秀博士论文基金资助

FFT Algorithm for Calculating the SALS Patterns from Anisotropic Objects Immersed in an Isotropic Matrix

HONG Ke, WANG TAO, ZHANG Hong-Dong, YANG Yu-Liang   

  1. Department of Macromolecular Science, Key Lab of Molecular Engineering of Polymers, SMEC, Fudan University, Shanghai 200433, China
  • Received:2001-12-20 Online:2003-02-24 Published:2003-02-24

摘要: 用快速傅里叶变换计算方法(FastFourierTransformation,FFT)直接获得高分子材料中介观有序结构小角激光光散射(SALS)图案,从而对实验获得的球晶和液晶液滴的SALS图案进行结构预测.作为实例,计算了几种典型液晶液滴构型的SALS图案.

关键词: 液晶液滴, 指向矢构型, 小角激光光散射, FFT算法

Abstract: In order to overcome the difficulties faced on analytically deriving the equation for describing the samll angle light scattering (SALS) patterns from anisotropic objects with arbitrarily director configurations, a Fast Fourior Transformation(FFT) algorithm for the calculation of SALS patterns from the anisotropic objects immersed in an isotropic matrix has been developed. With this method, the types of nematic droplets with different director configurations could be easily distinguished. For a certain configuration, it could also be achieved to indicate the direction of the main axis of droplets. It is fully demonstrated that the SALS patterns from the anisotropic objects can be predicted through the FFT algorithm without needs of complicated mathematical derivations.

Key words: Liquid crystal droplet, Director configuration, SALS, FFT

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