T-matrix calculation via discrete dipole approximation,point matching and exploiting symmetry |
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Authors: | Vincent LY Loke Timo A Nieminen Norman R Heckenberg Halina Rubinsztein-Dunlop |
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Institution: | Centre for Biophotonics and Laser Science, School of Mathematics and Physics, The University of Queensland, Brisbane, Queensland 4072, Australia;Science and Technology Research Institute, Centre for Astrophysics Research, University of Hertfordshire, Hatfield, AL10 9AB, UK |
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Abstract: | We present a method of incorporating the discrete dipole approximation (DDA) method with the point matching method to formulate the T-matrix for modelling arbitrarily shaped microsized objects. The T-matrix elements are calculated using point matching between fields calculated using vector spherical wave functions and DDA. When applied to microrotors, their discrete rotational and mirror symmetries can be exploited to reduce memory usage and calculation time by orders of magnitude; a number of optimization methods can be employed based on the knowledge of the relationship between the azimuthal mode and phase at each discrete rotational point, and mode redundancy from Floquet's theorem. A ‘reduced-mode’ T-matrix can also be calculated if the illumination conditions are known. |
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