Berlin 2008 – scientific programme
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HL: Fachverband Halbleiterphysik
HL 31: Poster II
HL 31.63: Poster
Tuesday, February 26, 2008, 16:30–19:00, Poster D
Resonant behavior of fractal shaped metamaterials
— •Benjamin Meier, Ernst Lenz, and Heino Henke — TU Berlin, Fachgebiet Theoretische Elektrotechnik EN-2, Einsteinufer 17, 10587 Berlin, Germany
Resonant fractal meta structures are investigated with the aim of drastically reducing the resonance frequency. A Koch snowflake is used as fractal structure [1]. We show that an essential reduction of resonant frequency in the microwave regime could be achieved for fractals of higher orders without changing the maximal spatial extent.
This offers the possibility of higher homogenization of metamaterials by using smaller unit cells [2,3]. Consequently scattering and diffraction of the impinging electromagnetic waves are reduced.
As an example the dispersion curve for the fourth order fractal meta structure
is calculated, resulting in the typical metamaterial behavior [4].
[1] K. J. Falconer, Fraktale Geometrie, Spektrum (1990).
[2] A. Semichaevsky et al., Prog.ER 71, 129 (2007).
[3] M. G. Silveirinha, PRB 75, 115104 (2007).
[4] D. R. Smith et al., PRL 84, 4184 (2000).