In this paper, we numerically investigate a photonic hook (PH) generated by a dielectric micro-cylinder illuminated under an electric dipole using the finite element method. At first, we show the properties of the photonic nanojet (PNJ) produced by the micro-cylinder under an electric dipole. Then, we find that a PH can be obtained when the electric dipole is moved at a certain distance along the direction perpendicular to the center line of the cylinder. Considering the rotation symmetry of the model, we firstly present that a PH can be generated by changing the orientation of the electric dipole. And the power flow of the PHs produced by different orientated dipoles are studied. Finally, the PHs properties affected by the gap distance between the micro-cylinder and the electric dipole and the refractive index of the micro-cylinder are investigated. Our results provide a method to generate a PH under a dipole illumination. And it may have potential applications in the quantum dot detection and microsphere super-resolution.

中文翻译：

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介电微圆柱电偶极子下的光子钩生成


在本文中，我们使用有限元方法对电偶极子照射下的介电微圆柱体产生的光子钩（PH）进行了数值研究。首先，我们展示了微圆柱在电偶极子下产生的光子纳米喷射（PNJ）的特性。然后，我们发现，当电偶极子沿垂直于圆柱体中心线的方向移动一定距离时，可以获得PH。考虑到模型的旋转对称性，我们首先提出可以通过改变电偶极子的方向来产生PH。并研究了不同取向偶极子产生的PH的功率流。最后，研究了微圆柱体与电偶极子之间的间隙距离和微圆柱体折射率对PHs特性的影响。我们的结果提供了一种在偶极照明下生成 PH 的方法。它在量子点检测和微球超分辨率方面可能具有潜在的应用。