Vector Helical Bloch Modes in N-Fold Rotationally Symmetric Waveguiding Structures: Spin and Azimuthal Order
european quantum electronics conference(2019)
摘要
Many different techniques have been used to model the electromagnetic response of photonic crystal fibres (PCFs) and waveguide arrays. Here we introduce a new vectorial approach based on helical Bloch waves (hBWs) that appear in structures (such as many PCFs) that are N-fold rotationally symmetric (symmetry group C
n
), i.e., they repeat perfectly in N sectors over 2π, when viewed in a cylindrical coordinate frame [1]. Helical Bloch waves can also carry optical angular momentum: a complex Bloch wave field propagates azimuthally around the axis of the structure, forming helical Bloch modes (hBMs) when a certain azimuthal resonance condition is satisfied.
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关键词
vector helical Bloch modes,N-fold rotationally symmetric waveguiding structures,azimuthal order,electromagnetic response,photonic crystal fibres,waveguide arrays,helical Bloch waves,symmetry group,cylindrical coordinate frame,optical angular momentum,complex Bloch wave field,azimuthal resonance condition
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