掺铋钇铁石榴石法拉第旋转谱的理论计算

Theoretical Calculation of Faraday Rotation Spectra of Bismuth Substituted Yttrium Iron Garnet

将Ｂｉ离子的浓度Ｘ与跃迁中心数联系起来，并给出了具体关系式．在入射光的频率为ω＝２．３ｅＶ至ω＝２．８ｅＶ的范围内，分别计算了ｘ＝０，０．１，０．３，０．５时．Ｙ３－ｘＢｉｘＦｅ５Ｏ１２（Ｂｉ－ＹＩＧ）的法拉第旋转谱，并在ω＝２．５ｅＶ（λ＝４９５ｎｍ），ω＝２．４１ｅＶ（λ＝５１５ｎｍ）和ω＝１．９６ｅＶ（λ＝６３３ｎｍ）时，分别计算了法拉第旋转角随Ｂｉ的含量ｘ的变化情况．结果表明，Ｂｉ－ＹＩＧ的法拉第旋转角的增加可以由杂化轨道的自旋轨道劈裂增加来解释．

For the bismuth substituted yttrium iron garnet(Bi-YIG),The relationship between the number of transition centers and the ion concentration of Bi3+ is given.The Faraday Rotation (θF)Spectra of Y3-xBixFe6O12 is calculated respectively,with x=0,Q.1,0. 3,0. 5.in the range from 2. 3eV to 2. 8eV.The dependence of θF on the bismuth content x is calculated respectively, when ω= 2.5eV (λ= 495nm) or ω= 2. 41eV (λ= 515nm)or ω= 1. 96eV(λ=633nm)in Bi-YIG. The results indicate that the large enhancement of the Faraday rotation can be explained by the enhancement of spin-orbit splitting of excited state resulting from the substitution of bismuth.