On transverse radiation pressure cross-sections in the generalized Lorenz-Mie theory and their numerical relationship with the dipole theory of forces

The Rayleigh limit of the generalized Lorenz-Mie theory (GLMT) and its relationship with the dipole the-ory of forces is investigated for transverse radiation pressure cross-sections and optical forces exerted over very small particles. If, at one hand, the GLMT provides interesting insights in terms of a multipole expansion and becomes restricted to contributions from (n = 1)-partial waves, on the other hand the dipole theory incorporates the total electromagnetic fields and their interaction with an electric dipole. Simulations reveal an extreme accuracy between both approaches up to 3000 decimal places, thus re-inforcing the conjecture that the Rayleigh limit of the GLMT might exactly identify with the traditional dipole theory of forces, although mathematically such identification remains to be uncovered. (C) 2021 Elsevier Ltd. All rights reserved.

Automated summary

The relationship between the Rayleigh limit of the generalized Lorenz-Mie theory (GLMT) and the dipole theory of forces is investigated, revealing extreme accuracy between the two approaches up to 3000 decimal places, reinforcing the conjecture that the Rayleigh limit of the GLMT might exactly identify with the traditional dipole theory of forces. However, mathematically uncovering such identification remains to be done.