A computationally efficient superposition T-matrix method for non-spherical particles with overlapping minimum circumscribing spheres

Jesús Rubio, Rafael Gómez Alcalá and Yolanda Campos-Roca

Journal of Electromagnetic Waves and Applications, 2025, vol. 39, issue 11, 1233-1255

Abstract: Multiple scattering of particles is calculated with the superposition T-matrix method even if their minimum circumscribing spheres overlap. Starting from the T-matrix of arbitrarily shaped particles, mutual interactions are computed using, exclusively, addition theorems for spherical vector waves. Although a similar idea has been published recently for the two-element case, its extension to an arbitrary number of particles can be very complicated and even unfeasible. In this work, a new, more efficient approach is proposed that provides practically the same results. In addition, it allows its easy application to an arbitrary number of particles simultaneously with the classical superposition T-matrix formulation.

Date: 2025
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DOI: 10.1080/09205071.2025.2499851

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