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带电平面的反射与透射研究——菲涅耳公式的修正 被引量:2

Reflection and Transmission on Charged Surface-Modified Fresnel Formulas
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摘要 根据一般条件下电磁场的边界条件,研究了两种介质分界面存在面电荷分布时的反射与透射,证明了这一条件下反射定律和折射定律仍然成立,推导得到存在面电荷分布时入射波平行分量和垂直分量的振幅反射系数和振幅透射系数,即修正的菲涅耳公式。由于不同界面的导电特性不同,两种介质界面的面电荷分布会影响界面的面电导率,修正后的菲涅耳公式与面电导率和自由空间阻抗有关。计算结果表明当面电荷密度或界面特性使面电导率发生较大变化时,振幅反射系数和振幅透射系数及反射率和透射率发生变化。 According to the general boundary conditions of the electromagnetic field, the reflection and transmission laws of electromagnetic waves on the charged interface of two different media are studied. It is proved that the reflection and the refraction laws for the charged interface are the same as that for the uncharged interface. The amplitude reflection coefficient and the amplitude transmission coefficient are derived for the reflection and transmission of the parallel and vertical components of the incident waves on the charged surface, i.e. modified Fresnel formulas. Due to the different interface conduction characteristics, surface charge distribution on the interface of two different media will affect the surface conductivity of the interface, and the modified Fresnel formulas are related to the surface conductivity and electromagnetic impedance of free space. The calculation results show that the amplitude reflection coefficient and the amplitude transmission coefficient as well as the reflectance and the transmittance will change when the surface conductivity varies with the surface charge density or the interface characteristics.
出处 《光学学报》 EI CAS CSCD 北大核心 2016年第6期277-283,共7页 Acta Optica Sinica
基金 国家自然科学基金(61172029 51206082 61302189)
关键词 物理光学 电磁波 菲涅耳公式 反射与透射 带电平面 physical optics electromagnetic wave Fresnel formula reflection and transmission charged surface
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