不均匀磁场的Faraday旋光效应研究

发布时间：2018-03-22 19:35

  本文选题：磁致旋光效应　切入点：光学电流互感器　出处：《中国电机工程学报》2017年08期 　论文类型：期刊论文

【摘要】：为解决不均匀磁场中磁光效应特性在数学上难以准确刻画的问题,该文建立感应不均匀介质的琼斯矩阵模型,并据此研究感应不均匀介质特性和不均匀磁场的Faraday旋光效应。研究发现,不均匀磁场和应力场共同作用下致使旋光介质感应角不守恒,感应不均匀介质琼斯矩阵级联形式是复非对角元酉矩阵,可通过本征变换为基于介质感应角、介质不均匀角和整体相移差为整体物理量的无冗余的三元解析式。建立不均匀磁场的Faraday旋光效应的光强测量模型并进行数值仿真与实验验证。与均匀磁场情形相比,不均匀磁场对琼斯矩阵、输出光强均有明显影响:琼斯矩阵出现了介质不均匀角,光强公式出现了不均匀系数。论证实际测量磁场是关于光程磁场的加权积分磁场,对提高光学电流互感器精准测量的实际应用具有参考价值。
[Abstract]:In order to solve the problem that the characteristics of magneto-optic effect in inhomogeneous magnetic field are difficult to describe mathematically, a Jones matrix model of inductive inhomogeneous medium is established in this paper. Based on this, the characteristics of induced inhomogeneous medium and the Faraday optical rotation effect of inhomogeneous magnetic field are studied. It is found that the joint action of inhomogeneous magnetic field and stress field leads to the nonconservation of the inductive angle of optical rotation medium. The inductive nonuniform dielectric Jones matrix cascade form is a complex non-diagonal unitary matrix, which can be converted to a dielectric inductive angle by intrinsic transformation. The dielectric inhomogeneity angle and the global phase shift difference are the non-redundant ternary analytical formulas of the whole physical quantity. The light intensity measurement model of the Faraday optical rotation effect of the inhomogeneous magnetic field is established, and the numerical simulation and experimental verification are carried out. The inhomogeneous magnetic field has obvious influence on the Jones matrix and the output light intensity: the Jones matrix has the medium inhomogeneity angle and the light intensity formula has the inhomogeneous coefficient. It is proved that the actual measurement magnetic field is the weighted integral magnetic field about the optical path magnetic field. It has reference value for improving the practical application of optical current transformer precision measurement.
【作者单位】： 哈尔滨工业大学电气工程及自动化学院;辽宁省电力科学研究院;
【基金】：国家自然科学基金项目(11004040) 黑龙江省自然科学基金项目(E201237)~~
【分类号】：TM452
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本文编号：1650075