Thick inductive cross shaped metal meshes

Abstract

International audienceExperimental data for inductive cross shaped metal meshes with periodicity constant g=20 μm have been reproduced by the Micro-Stripes simulation program for various thicknesses. A similar calculation has been performed with the Fourier modal method for cross shaped meshes with periodicity constant g=1 μm. The transmittances of all these meshes show similar resonance peaks and the same dependence on thickness. A rudimentary coupled oscillator model describes very well the dependence on thickness of the peaks, suggesting that the transmittance of all metal meshes in the short and long wavelength region are excited surface waves coupled by waveguide modes of the openings

Inductive cross shaped metal meshes on silicon substrate

“…9 one has peaks at about 50 lm, that is at 2.5 times the periodicity constant g ¼ 20 lm. An interpretation may be given by considering thick metal meshes [6] which show at wavelengths shorter than the resonance wavelength series of peaks depending on the thickness of the mesh. For small thickness a narrow peak around k R % g appears and simulation calculations show a delta function at k R ¼ g. When the mesh is on a silicon substrate, the delta function may be perturbed and shows up as a broader peak.…”

Band pass filters in the 1μm spectral region: Thick metal screens

“…Transmittances of screens with various aspect ratios (opening-to-periodicity ratio) have been investigated from the visible to the THz spectral regions. Resonances of the screens may be interpreted in terms of surface plasmons/waves [4][5][6][7] and waveguide modes [8,9]. Surface plasmons terminology is commonly used when complex refractive index parameters are employed [10] whereas surface waves terminology is used when surface impedance boundary conditions [11] are applied.…”

Square-shaped metal screens in the infrared to terahertz spectral region: Resonance frequency, band gap, and bandpass filter characteristics

“…The effect of the geometrical shape of the openings may be represented by the transfer function H͑g , L , t͒, where L is the opening dimension and t is the thickness of the screen. conditions as made with the Fourier modal method 8 or by using space harmonics. 9 In this paper, we use the TLM method for normal incidence and the Ansoft HFSS package for oblique incidence.…”

“…An empirical formula 16 relates the resonance wavelength to the geometrical parameters; simulations with plane waves using a transmission line matrix ͑TLM͒ program reproduce the peak wavelength within a few percent. 8 In this paper we present experimental and simulation results for the transmittance of freestanding square-shaped metal screens with periodicity constants ranging over two orders of magnitude ͑12.7-1270.0 m͒, all having thicknesses around 4 m. Spectra were taken with blackbody, synchrotron, and terahertz sources. Yet, interpretation of the experimental data in terms of the modes, described above, presents a problem in our case.…”

“…Interpretation of the transmission data was conveniently made by using a coupled surface plasmon ͑SP͒/wave model. 7,8 In the model, incident light excites a compound mode. The compound mode consists of surface waves on both sides of the screen, which are coupled by waveguide modes in the screen openings.…”