Lebesgue-integral-inspired matrix decomposition of optical fibers with arbitrary spinning rates

IF 2.6 3区计算机科学 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC

Optical Fiber Technology Pub Date : 2024-10-29 DOI:10.1016/j.yofte.2024.104011

Yuhao Huang , Li Xia , Kun Yue , Junchang Huang , Xiaodong Yin

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Abstract

Optical chiral materials have become a heated topic of research in recent decades, continually injecting new vitality into both the fundamental theory of optics and novel applications. An optical fiber with linear birefringence can be considered a chiral medium when it is twisted along the axial direction. However, when the spinning rate is non-uniform and varies arbitrarily along the fiber axis, obtaining the emerging polarization state of the light wave is challenging. In this work, inspired by the Lebesgue integral, we innovatively propose a method to decompose optical fibers with arbitrary spinning rates by using elliptical birefringence matrix. Mathematical derivation is provided, and the correctness of the scheme is also verified by comparing it with the results obtained from traditional coupled-mode theory and linear birefringence matrix method. The scheme proposed in this work provides great convenience for obtaining the polarization matrix of chiral fibers and is also applicable to other chiral materials.

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受勒贝格积分法启发的任意旋转速率光纤矩阵分解

近几十年来，光学手性材料已成为一个热门研究课题，不断为光学基础理论和新型应用注入新的活力。当具有线性双折射的光纤沿轴向扭转时，可将其视为手性介质。然而，当旋转速率不均匀且沿光纤轴任意变化时，要获得光波的新偏振态就很困难了。在这项工作中，我们受勒贝格积分的启发，创新性地提出了一种利用椭圆双折射矩阵分解任意旋转速率光纤的方法。本文提供了数学推导，并通过与传统耦合模式理论和线性双折射矩阵方法得出的结果进行比较，验证了该方案的正确性。本文提出的方案为获得手性光纤的偏振矩阵提供了极大的便利，同时也适用于其他手性材料。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Optical Fiber Technology 工程技术-电信学

CiteScore

4.80

自引率

11.10%

发文量

327

审稿时长

63 days

期刊介绍： Innovations in optical fiber technology are revolutionizing world communications. Newly developed fiber amplifiers allow for direct transmission of high-speed signals over transcontinental distances without the need for electronic regeneration. Optical fibers find new applications in data processing. The impact of fiber materials, devices, and systems on communications in the coming decades will create an abundance of primary literature and the need for up-to-date reviews. Optical Fiber Technology: Materials, Devices, and Systems is a new cutting-edge journal designed to fill a need in this rapidly evolving field for speedy publication of regular length papers. Both theoretical and experimental papers on fiber materials, devices, and system performance evaluation and measurements are eligible, with emphasis on practical applications.