中国电机工程学报2017，Vol.37Issue(8)：2426-2435,10.DOI:10.13334/j.0258-8013.pcsee.162312
不均匀磁场的Faraday旋光效应研究
The Faraday Rotation Effect for Non-uniform Magnetic Field
摘要
Abstract
This paper proposed the Jones-matrix-based model of non-uniformly induced medium, in order to deal with the difficulty of mathematically depicting Faraday rotation of the non-uniform magnetic field with high accuracy. On the basis of the proposed model, the characteristics of non-uniformly induced medium and Faraday rotation of the non-uniform magnetic field were studied. It's found that the rotation medium induction angle is non-conservative under the combined effect of non-uniform magnetic field and stress field. The cascade form of the Jones matrix for the non-uniformly induced medium is a complex non-diagonal element unitary matrix. Through the eigen transformation, it can be deformed into a non-redundant analytic expression of 3 variables, namely induction angle, uneven angle and phase shift difference. It's indicated that these 3 variables are respectively. The model of light intensity measurement for Faraday rotation of non-uniform magnetic field is established which is proved by numerical simulations and experiments. The non-uniformity of magnetic field has great impact on Jones matrix and output light intensity that the average uneven angle appears in Jones matrix and the different non-uniformity coefficient appears in the light intensity formula, which is different from that in uniform magnetic field. Besides, the magnetic field sensed actually is the weighted integral of the optical path magnetic field, it provides reference for the practical application in terms of improving the measurement accuracy of optical current transformers.关键词
磁致旋光效应/光学电流互感器/不均匀磁场/琼斯矩阵/光强公式/等值磁场Key words
magneto-optical rotation effect/optical current transformers/non-uniform magnetic field/Jones matrix/light intensity formula/average magnetic分类
信息技术与安全科学引用本文复制引用
肖智宏,郭志忠,张国庆,于文斌,于同伟,李籽良..不均匀磁场的Faraday旋光效应研究[J].中国电机工程学报,2017,37(8):2426-2435,10.基金项目
国家自然科学基金项目(11004040) （11004040）
黑龙江省自然科学基金项目(E201237). Project Supported by National Natural Science Foundation of China (11004040) （E201237）
Project Supported by the Natural Science Foundation of Heilongjiang Province (E201237). （E201237）
