不均勻磁場的Faraday旋光效應(yīng)研究
發(fā)布時(shí)間:2018-03-22 19:35
本文選題:磁致旋光效應(yīng) 切入點(diǎn):光學(xué)電流互感器 出處:《中國電機(jī)工程學(xué)報(bào)》2017年08期 論文類型:期刊論文
【摘要】:為解決不均勻磁場中磁光效應(yīng)特性在數(shù)學(xué)上難以準(zhǔn)確刻畫的問題,該文建立感應(yīng)不均勻介質(zhì)的瓊斯矩陣模型,并據(jù)此研究感應(yīng)不均勻介質(zhì)特性和不均勻磁場的Faraday旋光效應(yīng)。研究發(fā)現(xiàn),不均勻磁場和應(yīng)力場共同作用下致使旋光介質(zhì)感應(yīng)角不守恒,感應(yīng)不均勻介質(zhì)瓊斯矩陣級(jí)聯(lián)形式是復(fù)非對(duì)角元酉矩陣,可通過本征變換為基于介質(zhì)感應(yīng)角、介質(zhì)不均勻角和整體相移差為整體物理量的無冗余的三元解析式。建立不均勻磁場的Faraday旋光效應(yīng)的光強(qiáng)測(cè)量模型并進(jìn)行數(shù)值仿真與實(shí)驗(yàn)驗(yàn)證。與均勻磁場情形相比,不均勻磁場對(duì)瓊斯矩陣、輸出光強(qiáng)均有明顯影響:瓊斯矩陣出現(xiàn)了介質(zhì)不均勻角,光強(qiáng)公式出現(xiàn)了不均勻系數(shù)。論證實(shí)際測(cè)量磁場是關(guān)于光程磁場的加權(quán)積分磁場,對(duì)提高光學(xué)電流互感器精準(zhǔn)測(cè)量的實(shí)際應(yīng)用具有參考價(jià)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.
【作者單位】: 哈爾濱工業(yè)大學(xué)電氣工程及自動(dòng)化學(xué)院;遼寧省電力科學(xué)研究院;
【基金】:國家自然科學(xué)基金項(xiàng)目(11004040) 黑龍江省自然科學(xué)基金項(xiàng)目(E201237)~~
【分類號(hào)】:TM452
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本文編號(hào):1650075
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