In this study, a pseudo-null space curve in Minkowski 3-space is used to describe an optical fiber that is injected into monochromatic linear polarized light. The direction of the electric field vector with respect to the Frenet frame of a pseudo-null curve determines the state polarization of a monochromatic linearly polarized light wave traveling along an optical fiber. For the Frenet frame of a pseudo-null curve in Minkowski 3-space, the polarization vector E is assumed to be perpendicular to the tangent vector u with respect to anholonomic coordinates. Anholonomic coordinates for the Frenet frame of a pseudo-null curve are used to describe pseudo-null electromagnetic curves in the normal and binormal directions along an optical fiber. For the Frenet frame of the pseudo-null curve, Lorentz force equations in the normal and binormal directions along the optical fiber are presented. Pseudo-normal and binormal Rytov parallel transport laws for electric fields in the normal and binormal directions along with the optical fiber for the Frenet frame of the pseudo-null curve via anholonomic coordinates are presented. For anholonomic coordinates in Minkowski 3-space, rotations of the polarization planes of a light wave traveling in the normal and binormal directions along with the optical fiber with respect to the Frenet frame of the pseudo-null curve are obtained. Finally, a pseudo-null curve’s Maxwellian evolution is determined.

中文翻译：

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沿光纤的伪零几何相位

在这项研究中，使用 Minkowski 3 空间中的伪零空间曲线来描述注入单色线偏振光的光纤。电场矢量相对于伪零曲线的 Frenet 框架的方向决定了沿光纤传播的单色线偏振光波的状态偏振。对于 Minkowski 3 空间中伪零曲线的 Frenet 框架，极化向量乙假定垂直于切向量你关于非完整坐标。伪零曲线的 Frenet 框架的完整坐标系用于描述沿光纤的法线和副法线方向的伪零电磁曲线。对于伪零曲线的Frenet框架，给出了沿光纤的法线和副法线方向的洛伦兹力方程。给出了通过非完整坐标的伪零曲线Frenet框架的法线和副法线方向电场的伪法线和副法线Rytov平行输运定律以及光纤。对于 Minkowski 3 空间中的完整坐标系，获得了沿着光纤沿法线和副法线方向传播的光波的偏振平面相对于伪零曲线的 Frenet 框架的旋转。