Heidelberg 1999 – scientific programme

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MP: Theoretische und Mathematische Grundlagen der Physik

MP 11: Poster

MP 11.3: Poster

Thursday, March 18, 1999, 10:00–19:00, MA1

Theoretical characterization of Si-based 2D photonic crystals — •Wolfram Harms¹, Wolfram Hergert², and Reinald Hillebrand¹ — ¹MPI of Microstructure Physics, Weinberg 2, D-06120 Halle — ²Department of Physics, Martin-Luther-University, Halle

In recent years, the fabrication and the physical characterization of photonic crystals have revealed extraordinary optical properties. The theoretical studies presented accompany IR measurements of macroporous photonic band gap material [1] (e.g. Si, a ≈ 1µm) being electro-chemically prepared. The approaches implemented are based on Maxwell’s equations, solved by plane wave expansions. Triangular є_s/є_b-lattices of air columns are described for TM- and TE- polarisation. In the contribution, possible existence and energetic position of band gaps have been studied for varying lattice filling factors given by r/a. It is shown that the complete photonic band gap for circular air holes varies characteristically in the experimentally relevant r/a region.

Exceeding shapes of є-distributions already studied, analytical solutions for elliptical holes/rods are numerically implemented and analysed. The authors discuss the influence of the eccentricity of air columns to the band structure for different k-directions of the Brillouin zone.

[1] A. Birner et al. Phys . Stat. Sol. A 165, 111-117 (1998).