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T-matrix computations for particles with high-order finite symmetries
SMHI, Research Department, Air quality.ORCID iD: 0000-0001-5695-1356
2013 (English)In: Journal of Quantitative Spectroscopy and Radiative Transfer, ISSN 0022-4073, E-ISSN 1879-1352, Vol. 123, 79-91 p.Article in journal (Refereed) Published
Abstract [en]

The use of group theoretical methods can substantially reduce numerical ill-conditioning problems in T-matrix computations. There are specific problems related to obtaining the irreducible characters of high-order symmetry groups and to the construction of a transformation from the basis of vector spherical wave functions to the irreducible basis of high-order symmetry groups. These problems are addressed, and numerical solutions are discussed and tested. An important application of the method is non-convex particles perturbed with high-order polynomials. Such morphologies can serve as models for particles with small-scale surface roughness, such as mineral aerosols, atmospheric ice particles with rimed surfaces, and various types of cosmic dust particles. The method is tested for high-order 3D-Chebyshev particles, and the performance of the method is gauged by comparing the results to computations based on iteratively solving a Lippmann-Schwinger T-matrix equation. The latter method trades ill-conditioning problems for potential slow-convergence problems, and it is rather specific, as it is tailored to particles with small-scale surface roughness. The group theoretical method is general and not plagued by slow-convergence problems. The comparison of results shows that both methods achieve a comparable numerical stability. This suggests that for particles with high-order symmetries the group-theoretical approach is able to overcome the illconditioning problems. Remaining numerical limitations are likely to be associated with loss-of-precision problems in the numerical evaluation of the surface integrals. (C) 2012 Elsevier Ltd. All rights reserved.

Place, publisher, year, edition, pages
2013. Vol. 123, 79-91 p.
Keyword [en]
Scattering, T-matrix, Mineral dust, Cosmic dust, Ice clouds
National Category
Meteorology and Atmospheric Sciences
Research subject
Meteorology; Environment
Identifiers
URN: urn:nbn:se:smhi:diva-369DOI: 10.1016/j.jqsrt.2012.08.004ISI: 000319095300010OAI: oai:DiVA.org:smhi-369DiVA: diva2:800704
Available from: 2015-04-07 Created: 2015-03-31 Last updated: 2015-04-07Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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