T-Matrix Methode für Partikeln mit einem biaxialen Brechungsindex zur Simulation kompositer Schichten
Final Report Abstract
The objective of this project is an extension of the light scattering theory based on the T-matrix method to optically anisotropic particles and layers including them. The T-matrix method was extended to scattering objects with the biaxial anisotropic and generally anisotropic permitivity tensor. We focus on particles with arbitrary shape (also non-symmetrical). The derived solution is compatible with existing tools based on the conventional Null-Field Method (NFM) theory for the isotropic scatterer. Therefore, our results are ready to use in the light scattering computation for clusters of anisotropic non-Spherical particles, particle on a surface or particles in an evanescent field. The numerical behavior of the algorithm was studied and optimized. The derived theory was implemented in an effective and scalable Fortran program using two different parallel paradigms. This allows to provide mass and complex light scattering simulations for the investigated subject on a multi-core computer and on a cluster of interconnected computers. Finally, we provide some simulations, which show that an ensemble of anisotropic particles can be effectively approximated by the isotropic one. The optical properties of a dense composite layer including anisotropic particles or pigments raise a huge interest in the wide range of application areas. For example, white pigments for papers and color pigments for paints or lacquer coat. Through computational design, it is possible to obtain a special color or a reflection function of the desired inhomogeneous layer.
Publications
- Equivalent refractive index for biaxially anisotropic scatterers using T-matrix approach. Proceedings of the conference Mie Theory 1908-2008, Halle, Germany (2008), 101-104
V. Schmidt, T. Wriedt
- Light scattering by biaxially anisotropic particles. Proceedings of the Workshop on the Null-Field Method with Discrete Sources, Bremen, Germany (2008), 16-18
V. Schmidt
- T-matrix method for biaxial anisotropic particles. Proceedings of the 11th Electromagnetic & Light Scattering Conference, Hertfordshire, England (2008), 89-92
V. Schmidt, T. Wriedt
- T-matrix method for biaxial anisotropic particles. J. Quant. Spect. Radiat. Trans. (2009) 1392-1397
V. Schmidt, T. Wriedt
- Iterative solvers for T-matrix and discrete sources methods. In proceedings of ELS XII, Helsinki, Finland, June 28 - July 2, 2010
V. Schmidt, R. Schuh, T. Wriedt
- Improving the numerical stability of T-matrix light scattering calculations for extreme particle shapes using the nidl-field method with discrete sources. J. Quant. Spect. Radiat. Trans. 112 (2011) 1679-1686
J. Hellmers, V. Schmidt, T. Wriedt
