The scattering of a non-paraxial Bessel pincer light-sheet by a dielectric sphere of arbitrary size is studied in the framework of generalized Lorenz-Mie theory (GLMT). The electrical field of the Bessel pincer light-sheet is expanded using the vector angular spectrum decomposition method (VASDM), and its beam shape coefficients (BSCs) are derived using the method of multipole expansion and vector spherical wave functions (VSWF). By this way, the incident field, scattering field and near-surface field, and absorption and extinction efficiency factors are numerically calculated. Also, the effects of the beam order, scaling parameter, and polarization are mainly discussed. Numerical results represent that the intensity distribution of incident field, scattering field and near-surface field is intensely sensitive to the scaling parameters and the beam order. For the incident field, the bigger the order, the smaller the bending angle, and the closer the focus is to the source. By contrast, for the scattering and total field, the bigger the order, the larger the bending angle, and the farther the focus is to the source. Such results have potential applications in the imaging around steep corners and particle manipulation applications with minimal obstruction by particles.

在广义Lorenz-Mie理论（GLMT）的框架下，研究了任意尺寸的电介质球对非近轴Bessel夹钳式光片的散射。使用矢量角谱分解方法（VASDM）扩展Bessel夹钳光片的电场，并使用多极扩展和矢量球面波函数（VSWF）的方法导出其束形系数（BSC）。通过这种方式，数值计算了入射场，散射场和近地表场以及吸收和消光效率因子。此外，主要讨论光束顺序，缩放参数和偏振的影响。数值结果表明入射场的强度分布，散射场和近地表场对缩放参数和束序高度敏感。对于入射场，阶数越大，弯曲角度越小，并且焦点离源越近。相比之下，对于散射场和总场，阶次越大，弯曲角度越大，并且焦点到源的距离越远。这样的结果在陡峭拐角附近的成像中具有潜在的应用，并且在颗粒受最小限度干扰的情况下具有颗粒处理应用。