Assessing and improving the accuracy of T-matrix calculation of homogeneous particles with point-group symmetries

We present an approach for improving the accuracy of T-matrix calculation of particles with point-group symmetries that eliminates from consideration some elements of the T matrix with low accuracy. A high accuracy approach (HAA) is suggested based on symmetry related comparative analysis of the accuracy rating of evaluation of surface integrals by the extended boundary condition method (EBCM).The symmetry relation for elements of the T matrix is a consequence of the general symmetry relation for particles with point-group symmetries. A simple comparative accuracy criterion composed of matrix norms rc(Q)=∥RgQ∥⋅∥Q−1∥ is suggested, where Q and RgQ are matrices computed with evaluation of surface integrals by the EBCM. An example of practical HAA application is given and results of numerical modeling of light scattering on finite polyhedral prisms are analyzed.

► We present an approach for assessing and improving the accuracy of T-matrix calculation. ► The high accuracy approach is based on the general symmetry relation for particles with point-group symmetries. ► A simple comparative accuracy criterion with surface integral evaluation is suggested. ► Model calculations have demonstrated high efficiency of the present approach.