Rigorous analytical modeling of light scattering by particles and spherical surfaces in a focused beam

Light scattering by a sphere has long been interest of studying and developing different microscopies that are used for studying different objects such as biological cells, molecules, atoms. The generalized Lorenz-Mie theory (GLMT) has been well developed for analyzing the scattering effects. In this paper, we present a novel interpretation of the scattering mechanism. A converging beam becomes a diverging beam after passing through the focus. The GLMT defined the incident beam so that it comprises both the converging beam and the diverging beam. We define the incident beam so that it only comprises the converging beam. Then we show that whereas the definition of the GLMT can be applied only to the sphere, our definition can be applied to both the sphere and the SIL. To account for the multiple reflections inside the sphere, Debye series have been formulated and developed for more than 100 years. Since we use the different definition of the incident beam, we formulate different series for explaining the scattering mechanism [1].