Application of the extended boundary condition method to homogeneous particles with point-group symmetries

F. Michael Kahnert, Jakob J. Stamnes, Knut Stamnes

Research output: Contribution to journalArticlepeer-review

47 Scopus citations

Abstract

The numerical evaluation of surface integrals is the most time-consuming part of the extended boundary condition method (EBCM) for calculating the T matrix. An efficient implementation of the method is presented for homogeneous particles with discrete geometric symmetries and is applied to regular polyhedral prisms of finite length. For such prisms, an efficient quadrature scheme for computing the surface integrals is developed. Exploitation of these symmetries in conjunction with the new quadrature scheme leads to a reduction in CPU time by 3 orders of magnitude from that of a general EBCM implementation with no geometry-specific adaptations. The improved quadrature scheme and the exploitation of symmetries account for, respectively, 1 and 2 orders of magnitude in the total reduction of the CPU time. Test results for scattering by rectangular parallelepipeds and hexagonal plates are shown to agree well with corresponding results obtained by use of the discrete-dipole approximation. A model application for various polyhedral prisms is presented.

Original languageEnglish
Pages (from-to)3110-3123
Number of pages14
JournalApplied Optics
Volume40
Issue number18
DOIs
StatePublished - 20 Jun 2001

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