Mitri F G
J Opt Soc Am A Opt Image Sci Vis. 2017 Jul 1;34(7):1194-1200. doi: 10.1364/JOSAA.34.001194.
This work demonstrates the generation of auto-bending cylindrical/tubular Bessel-Gauss bottle beams in homogeneous two-dimensional (2D) space. The corresponding wave fields flow through a two-dimensional curved trajectory leaving a singularity hollow central region, exhibiting the characteristic of circumventing obstacles. Scalar and vector fields are derived based on the angular spectrum decomposition method, the Helmholtz equation, the Lorenz gauge condition, and Maxwell's equations. The profile and area of the 2D bottle beams, together with the location of the autofocusing spots, are controlled by the intrinsic parameters of the illuminating waves and polarizations of the vector potential forming the incident fields. The demonstrated auto-bending cylindrical bottle beam solutions may find potential applications in acoustical and optical cloaking, auto-bending beam tweezers, imaging around steep corners, therapeutic investigations with unconventional autofocusing beams, acoustical and light sheets (i.e., slice of beams in 2D), and other related particle manipulation, isolation, and sorting devices, to name a few examples.
这项工作展示了在均匀二维（2D）空间中自动弯曲的圆柱/管状贝塞尔 - 高斯瓶形光束的产生。相应的波场沿着二维弯曲轨迹流动，留下一个奇异的中空中心区域，展现出绕过障碍物的特性。基于角谱分解方法、亥姆霍兹方程、洛伦兹规范条件和麦克斯韦方程组推导出标量场和矢量场。二维瓶形光束的轮廓和面积，以及自聚焦点的位置，由形成入射场的照明波的固有参数和矢量势的极化来控制。所展示的自动弯曲圆柱瓶形光束解决方案可能在声学和光学隐身、自动弯曲光束镊子、陡峭角落周围成像、非常规自聚焦光束的治疗研究、声学和光片（即二维光束切片）以及其他相关的粒子操纵、隔离和分选装置等方面找到潜在应用，仅举几例。
