AI 中文总结
研究用矢量光测量悬浮粒子位置，开发半经典散射形式，引入信息辐射模式和投影量化效率，以径向极化捕获光束为例验证可降低轴向反冲加热率，理论框架在开源包中实现，助力悬浮光机械实验设计优化。
AI 中文摘要
我们为光学悬浮偶极散射体开发了一种完全矢量的半经典散射形式，用角谱表示，适用于任意捕获场配置和高数值孔径聚焦。在此框架内，引入信息辐射模式表征位置相关信息的角分布，用散射场到本地振荡器模式的理查兹 - 沃尔夫投影量化模式匹配效率，得出实验可行的前向和后向检测效率。以径向极化捕获光束为例，证实轴向反冲加热率相对于传统线性极化高斯镊子降低。该理论框架在LevitationToolbox中实现，这是一个开源Python包，旨在支持近海森堡极限悬浮光机械实验的设计和优化。
英文摘要
We develop a fully vectorial, semiclassical scattering formalism for optically levitated dipolar scatterers, expressed within the angular spectrum representation and applicable to arbitrary trapping-field configurations as well as to high--numerical-aperture focusing. Within this framework, we introduce the information radiation pattern to characterize the angular distribution of position-dependent information and use a Richards--Wolf projection of the scattered field onto the local-oscillator mode to quantify the resulting mode-matching efficiency, yielding experimentally realistic forward- and backward-detection efficiencies. As a worked example, we apply the formalism to a radially polarized trapping beam and confirm that the axial recoil heating rate is reduced relative to a conventional linearly polarized Gaussian tweezer. The theoretical framework is implemented in LevitationToolbox, an open-source Python package intended to support the design and optimization of near-Heisenberg-limited levitated optomechanical experiments.
