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<p>The trajectory of magnetic flows that generate a magnetic field is called a magnetic curve. In this paper, a new class of electromagnetic curves is defined through a new frame defined along polynomial curves, called the Flc frame. Moreover, given that an optical fiber is a one-dimensional object placed on a three-dimensional Riemannian manifold, the evolution of a linearly polarized light wave is related to the geometric phase. Therefore, a new geometric phase model is obtained using the Flc frame.</p>

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The electromagnetic curves and rotation of the polarization plane with respect to the Flc frame in an optical fiber

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月22日

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  • Aykut Toplama,
  • Mustafa Dede

摘要

The trajectory of magnetic flows that generate a magnetic field is called a magnetic curve. In this paper, a new class of electromagnetic curves is defined through a new frame defined along polynomial curves, called the Flc frame. Moreover, given that an optical fiber is a one-dimensional object placed on a three-dimensional Riemannian manifold, the evolution of a linearly polarized light wave is related to the geometric phase. Therefore, a new geometric phase model is obtained using the Flc frame.