北京师范大学学报（自然科学版）2017，Vol.53Issue(3)：272-276,5.DOI:10.16360/j.cnki.jbnuns.2017.03.005
Kramers-Kronig关系中积分奇点的处理方法研究
Calculation of integral singularities in Kramers-Kronig relations
摘要
Abstract
When Kramers-Kronig relation is applied to solve absorption coefficient and real refractive index of materials,how to deal with integral singularity exerts great influence on the accuracy of these two optical parameters.We proposed a nonlinear interpolation method to deal with singularity of the integral,and compared it with commonly used average value method and L'H(o)pital's rule method.It was found that the average value method and L'H(o)pital's rule method were suitable for slow changes in optical parameters,while non-linear interpolation method was applicable both for slow and rapid changes.Water vapor calculations showed that the maximum error in real refractive index by average and L'H(o)pital's rule methods was 5％,while the error by nonlinear interpolation method was less than 1.5 ％.关键词
Kramers-Kronig关系/奇点/吸收系数/实折射率/Van Vleck-Weisskopf线型/水汽Key words
Kramers-Kronig relation/singularity/absorption coefficient/real refractive index/Van Vleck-Weisskopf lineshape/water vapor分类
数理科学引用本文复制引用
张正,黄玉,金晨,孙萍..Kramers-Kronig关系中积分奇点的处理方法研究[J].北京师范大学学报（自然科学版）,2017,53(3):272-276,5.基金项目
国家自然科学面上基金资助项目(61371055) （61371055）
北京市大学生科学研究与创业行动计划资助项目 （）
