Based on the adjoint boundary value problem proposed decades ago by Zulehner and Rohatschek [1], analytic and closed-form expressions for the photophoretic forces exerted by arbitrary-shaped beams on homogeneous and low-loss spherical particles is derived in both the free molecular and slip flow regimes. To do so, the asymmetry vector for arbitrary refractive index particles is explicitly calculated by expanding the internal electromagnetic fields with the aid of the generalized Lorenz-Mie theory (GLMT). The approach here proposed is, to the best of the authors’ knowledge, the first systematic attempt to incorporate the GLMT stricto sensu into the field of photophoresis and might as well be extended, e.g. to spheroids and find important applications, among others, in optical trapping and manipulation of microparticles, in geoengineering, particle levitation, optical trap displays and so on.

基于几十年前由 Zulehner 和 Rohatschek [1] 提出的伴随边值问题，在自由分子和滑流状态。为此，借助广义 Lorenz-Mie 理论 (GLMT)，通过扩展内部电磁场来明确计算任意折射率粒子的不对称矢量。据作者所知，这里提出的方法是首次系统地尝试将严格意义上的GLMT进入光泳领域，也可以扩展到球体，并找到重要的应用，除其他外，在微粒的光捕获和操纵、地球工程、粒子悬浮、光阱显示器等方面。