Two-dimensional Bessel beams, both vectorial and scalar, have been extensively studied to date, finding many applications. Here we mimic a vectorial axicon to create one-dimensional scalar Bessel beams embedded in a two-dimensional vectorial field. We use a digital micro-mirror device to interfere orthogonal conical waves from a holographic axicon, and study the boundary of scalar and vectorial states in the context of structured light using the Arago–Fresnel laws. We show that the entire field resembles a vectorial combination of parabolic beams, exhibiting dependence on solutions to the inhomogeneous Bessel equation and asymmetry due to the orbital angular momentum associated rotational diffraction. Our work reveals the rich optical processes involved at the interplay between scalar and vectorial interference, opening intriguing questions on the duality, complementarity, and non-separability of vectorial light fields.

中文翻译：

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使用来自矢量轴锥的贝塞尔光束演示阿拉戈-菲涅耳定律

二维贝塞尔光束，包括矢量和标量，迄今为止已被广泛研究，发现了许多应用。在这里，我们模仿矢量轴锥创建嵌入二维矢量场的一维标量贝塞尔光束。我们使用数字微镜设备来干涉来自全息轴锥的正交锥形波，并使用 Arago-Fresnel 定律在结构光的背景下研究标量和矢量状态的边界。我们表明整个场类似于抛物线光束的矢量组合，表现出对非齐次贝塞尔方程的解的依赖性和由于轨道角动量相关的旋转衍射而导致的不对称性。我们的工作揭示了标量干涉和矢量干涉之间相互作用的丰富光学过程，