Light Transport and Vortex Formation in All Solid Band Gap Fibres

A. Pryamikov, G. Alagashev, S. Turitsyn
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Abstract

Study of optical vortices (OV) is a growing area of research bringing together advanced theoretical and mathematical concepts and emerging technologies [1]. The necessary condition of OV existence is zero amplitude on a certain line representing the vortex axis. The zero — amplitude line may coincide with the axis of light beam or have more complicated shape [2]. It is known that the most important feature of the optical vortex formation is the rotation of the Poynting vector (energy rotation) around the phase dislocation (the OV core) [1]. It should also be noted that when the zero amplitude line has the shape of a ring the phases of the plane wavefront inside the ring and outside it differ b y π [2]. In this work, we examine the linear OVs that occur in the cladding of all-solid-band-gap fibres (ASBGFs) [3]. In the case of ASBGFs the formation of OVs can have strong impact on localization of the core modes. We demonstrate that the vortex formation in ASBGFs is determined by the location of the zero — amplitude lines in the cladding elements.
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全固体带隙光纤中的光输运和涡旋形成
光学涡旋的研究是一个不断发展的研究领域,它将先进的理论和数学概念与新兴技术结合在一起。涡轴存在的必要条件是在某一条代表涡轴的直线上振幅为零。零振幅线可能与光束轴线重合,也可能具有更复杂的形状[2]。众所周知,光涡旋形成的最重要特征是坡印亭矢量(能量旋转)围绕相位错(OV核)[1]的旋转。还应注意,当零振幅线具有环形形状时,环内和环外的平面波前的相位相差为y π[2]。在这项工作中,我们研究了发生在全固体带隙光纤(ASBGFs)[3]包层中的线性OVs。在ASBGFs中,OVs的形成会对核心模态的定位产生强烈影响。我们证明了涡的形成是由包层元件中零振幅线的位置决定的。
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