Berlin 2008 – scientific programme

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HL: Fachverband Halbleiterphysik

HL 27: Photonic crystals III

HL 27.10: Talk

Tuesday, February 26, 2008, 18:30–18:45, EW 203

Electromagnetic Green's dyadic: finite difference time domain formulation — •Dmitry Chigrin — Physikalisches Institut, Universitaet Bonn, Nussallee 12, D-53115 Bonn, Germany

The electromagnetic Green's function (dyadic) is a central object in many topics of theoretical and computational electrodynamics. The knowledge of the Green's function for a given medium provides directly information about, e.g., the radiation dynamics of excited atoms in this medium or scattering processes on the medium inhomogeneities. In the same time, the finite-difference time-domain method (FDTD) is known to be very powerful and popular numerical tool of computational electrodynamics. Being simple in implementation and numerically rigorous in nature this method suits very well for large scale electrodynamics problems. In this presentation, an extension of the FDTD method for direct calculation of the electromagnetic Green's function will be discussed. An appropriate choice of initial and boundary conditions will be considered. An application of the method to the study of the radiation dynamics of two-level atom in a finite two-dimensional photonic crystal will be presented.