Towards photophoresis with the generalized Lorenz-Mie theory

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. (c) 2022 Elsevier Ltd. All rights reserved.

Automated summary

Based on the adjoint boundary value problem proposed by Zulehner and Rohatschek [1] decades ago, analytic and closed-form expressions for the photophoretic forces exerted by arbitrary-shaped beams on homogeneous and low-loss spherical particles are derived in both the free molecular and slip flow regimes. The asymmetry vector for arbitrary refractive index particles is explicitly calculated by expanding the internal electromagnetic fields using the generalized Lorenz-Mie theory (GLMT). The proposed approach is the first systematic attempt to incorporate GLMT into the field of photophoresis and may be extended to spheroids and find important applications in optical trapping and manipulation of microparticles, geoengineering, particle levitation, optical trap displays, and other areas.