# Heidelberg 2015 – wissenschaftliches Programm

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# UP: Fachverband Umweltphysik

## UP 13: Postersession Bodenkunde, Kryosphäre, Meßtechnik, Ozeanographie

### UP 13.9: Poster

### Donnerstag, 26. März 2015, 10:45–19:45, G/Foyer

**T-matrix calculation with the Green's dyadic technique for electromagnetic scattering: a numerical approach using the Dyson equation** — •ugo tricoli and klaus pfeilsticker — Institute of Environmental Physics, University of Heidelberg, INF 229 Heidelberg, 69120, Germany

A new technique to compute the T-matrix for a single arbitrary shaped particle is presented, called the Green's dyadic technique for T-matrix (GDT-matrix). It is based on the use of the volume integral equation (VIE) for electromagnetic scattering. Interpreting the T-matrix as a generalized potential in combination with the Coupled Dipole Approximation (CDA) method, it is possible to make a parallel use of the Lippmann-Schwinger and the Dyson equations to iteratively solve for the T-matrix and the Green's function dyadic, respectively. Hence, there is no need to explicitly specify the boundary conditions and only an accurate spatial discretization of the particle is required, which is here done by a sparse-octree volume discretization. Further no assumptions regarding the particle symmetry, homogeneity and isotropy needs to be made. For the validation of the code, examples in 1D and 2D are investigated. Then, 3D results are compared with Mie theory for spherical particles. For more complex shaped particles, comparison against experimental results is provided for forward-scattering, in particular for rough ice particles.