固体光谱分析的样条函数方法

在三次样条函数插值的基础上,建立了微分能谱,Kramers-Kronig变换以及求和规则等计算方法;分析了由椭偏光谱法测得的Si介电函数的一阶和三阶微分谱,Kramers-Kronig变换以及其它积分关系,并与其它数值方法的结果比较.样条函数具有使用灵活,速度快和精度高等优点.结合最优化方法,由样条函数方法求出的微分能谱能够分析固体电子的临界点参量.

Analysis of Optical Spectra of Solids by Spline Function Methods

Spline function methods are presented for the analysis of optical spectra of solids. Algorithms for differential energy spectra, Kramers-Kronig transform and sum ruls are developed on the basis of the third spline interpolation. We demonstrated the first and the third differential spectra, Kramers-Kronig transformation and other integral relations of Si dielectric function measured by ellipsometric spectroscopy and compared them with those by other numerical methods. Spline function methods have the merits of flexibility, high speed and high accuracy. By means of optimization, the electronic critical point parameters can be determined from the differential spectra obtained using spline function.