We present the enhanced transmission spectrum of a copper foil with the sub-wavelength fractal structures by means of
the terahertz time domain spectroscopy (THz-TDS) and FDTD simulation. In the view of experimental measurement and
finite-difference-time-domain (FDTD) simulations, respectively, we studied the influence of the electric field and
magnetic field on the enhanced transmission of THz wave through each level of fractal pattern generated by the repeated
affine transformations of an H-shaped mother element on the copper foil. We simulate the incidence and transmission of
the THz wave and show the propagation and distribution of the interior electromagnetic field by the software for
electromagnetic design named CONCERTO. To compare with the experimental results, we simulate the cases that the
certain levels of the pattern are deleted. The results of simulation agree with the experimental one. It is found that the
transmission enhancement in the low frequency regime is caused by the radiation of electron resonance in the low fractal
levels, and the transmission enhancement in the high frequency regime is caused by the radiation of electron resonance
in the high fractal level, that is, the localization resonance of the fractal structures. These results indicate that the flat
surface fractal structure like an ideal wave-guide. The vertically incident THz wave is confined on the surface and
transmitted along the fractal slits. The controlling ability of fractal structures will offer a powerful tool for the design of
THz photonic devices.
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