The Computational Optimization of the Invariant Imbedding T Matrix Method for the Particles with N-Fold Symmetry

The invariant imbedding T-matrix (IIM T-matrix) model is regarded as one of the most promising models for calculating scattering parameters non-spherical particles. However, IIM needs to be iterated along radial direction when T-matrix, which involves complex calculations such matrix inversion and multiplication. Therefore, how improve its computational efficiency an important problem solved. Focused on particles with N-fold symmetric geometry, this paper deduced symmetry in calculation process model, derived block iteration scheme contracted program geometry. Discrete Dipole Approximation (DDA) Geometrical Optics (IGOA) were employed verify accuracy improved model. results show that six phase elements (P11, P12/P11, P22/P11, P33/P11, P34/P11 P44/P11) calculated by our are good agreement other models. was further investigated. As demonstrated results, nearly 70% improvement U T matrix. In conclusion, can remarkably reduce time while maintaining high accuracy.