Debye-series expansion of T-matrix for light scattering by non-spherical particles computed from Riccati-differential equations - Archive ouverte HAL Access content directly
Journal Articles Optics Express Year : 2022

Debye-series expansion of T-matrix for light scattering by non-spherical particles computed from Riccati-differential equations

Lei Bi

Abstract

A new formulation of the Debye series based on the Riccati-differential equations was developed to compute electromagnetic wave scattering by non-spherical particles. In this formulation, the T-matrix was expanded in terms of the Debye series. The zeroth-order term, which corresponds to a combination of diffraction and external reflection, is given by unity minus the external reflection matrix. The higher-order terms are generated from the transmission matrix from the medium to the particle, the internal reflection matrix within the particle and the transmission matrix from the particle to the medium. We demonstrate that the aforementioned four reflection-transmission matrices satisfy the Riccati-differential equations, which can be numerically solved by the fourth-order Runge-Kutta method. The present algorithm can be applied to generalized convex non-spherical particles. The differential equations were analytically validated in the case of a homogeneous sphere. Representative results were given in the case of spheroids. The impacts of the Debye series with various orders on the optical properties of spheroids were revealed with significant details.

Dates and versions

hal-03793199 , version 1 (30-09-2022)

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Lei Bi, Gérard Gouesbet. Debye-series expansion of T-matrix for light scattering by non-spherical particles computed from Riccati-differential equations. Optics Express, 2022, 30 (16), pp.29796. ⟨10.1364/OE.465772⟩. ⟨hal-03793199⟩
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