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为了用琼斯矢量更明确地表示双折射晶体入射光和折射光的偏振状态,利用波法线椭球和物质方程,将入射光和折射光的电场矢量均视为由o振动和e振动两个方向的分量叠加而成,并将之投影到垂直于和平行于入射面的两个方向上。其中,入射光和折射光电场分量之间的关系用菲涅耳方程中的透射系数表示。考虑到e光电场矢量与电位移矢量的差别,对菲涅耳方程进行了一定的修正以满足e光的边界条件。最终给出了入射光和折射光电场矢量的琼斯矢量形式。并通过具体的数值计算说明,菲涅耳方程修正前后e光的透射系数有一定的差别,且e光的电场矢量和电位移矢量之间的分裂不可忽略。
In order to show the polarization states of incident light and refracted light of birefringent crystal more clearly by using Jones vector, the electric field vectors of incident light and refracted light are regarded as two of o vibration and e vibration by using wave normal ellipsoid and material equation The components of the directions are superimposed and projected in both directions perpendicular to and parallel to the incident surface. Here, the relationship between the incident light and the refracted photo-electric field component is expressed by the transmission coefficient in the Fresnel equation. Taking into account the difference between the e-electric field vector and the electric displacement vector, the Fresnel equation is modified to meet the e-light boundary conditions. Finally, the Jones vector form of incident light and refraction electric field vector is given. Through the numerical calculation, the transmission coefficient of e light before and after the Fresnel equation correction is different, and the splitting between the electric field vector and the electric displacement vector of e light can not be neglected.