Based on the generalized Lorenz-Mie theory (GLMT) and the angular spectrum decomposition method (ASDM), we calculate the time-averaged optical (spin) torque (OST) exerted on an absorptive dielectric sphere of arbitrary size illuminated by a TM polarized Airy light-sheet, and the negative optical torque is particularly emphasized. The influence of the transverse scale parameter w₀ and attenuation parameter γ of the Airy light-sheet on the torque is discussed. The numerical results show that both w₀ and γ have impact on the amplitude and spatial distributions of the OST. Furthermore, the OST amplitude depends on the position of the sphere in the transverse plane of wave propagation. In addition, the OST for a TE-polarized Airy light-sheet illuminating the absorptive dielectric sphere vanishes due to some symmetry considerations related to the vertical polarization property of the electric field vector. The results are of some practical significance for the development of Airy light-sheet based optical rotation of a suspended particle in light-sheet tweezers.

基于广义Lorenz-Mie理论（GLMT）和角谱分解方法（ASDM），我们计算了施加在TM偏振Airy照明的任意大小的吸收性介电球上的时均光学（自旋）扭矩（OST）。尤其是负光扭矩。讨论了艾里光栅的横向标度参数w ₀和衰减参数γ对扭矩的影响。数值结果表明，w ₀和γ对OST的幅度和空间分布有影响。此外，OST振幅取决于球在波传播的横向平面中的位置。另外，由于与电场矢量的垂直极化特性有关的一些对称性考虑，用于TE极化艾里光片的吸收吸收性电介质球的OST消失了。这些结果对于开发轻型镊子中悬浮颗粒的基于Airy轻型薄片的旋光性具有实际意义。