# Calculation of the electromagnetic scattering by non-spherical particles based on the volume integral equation in the spherical wave function basis

## TL;DR

This paper introduces a novel method for calculating electromagnetic scattering by non-spherical particles using volume integral equations and spherical wave functions, emphasizing efficiency and potential for parallel computation.

## Contribution

It develops a new approach for computing non-spherical particle T-matrices based on volume integral equations and the spherical wave basis, with insights into parallelization and energy conservation.

## Key findings

- Method closely related to invariant imbedding
- Parallel computation potential demonstrated
- Almost zero power balance achieved for dielectric particles

## Abstract

The paper presents a method for calculation of non-spherical particle T-matrices based on the volume integral equation and the spherical vector wave function basis, and relies on the Generalized Source Method rationale. The developed method appears to be close to the invariant imbedding approach, and the derivations aims at intuitive demonstration of the calculation scheme. In parallel calculation of single columns of T-matrix is considered in detail, and it is shown that this way not only has a promising potential of parallelization but also yields an almost zero power balance for purely dielectric particles.