Dichroic Filter
In the high frequency community there has been an increasing interest in so called frequency selective surfaces (FSS). These materials are built as large array of single unit cells. On the microscopic level, such a unit cell consists for example of a metal structure and air around. On the macroscopic level, they overall act as frequency selective material due to their microscopic resonances. In Figure 1 the dichroic filter [1] as an example for frequency selective surfaces is shown.
![Picture of the dichroic filter structure [1].](/CMS/images/article121/Structure_Paper.png)
Figure 1: Picture of the dichroic filter structure [1].
When simulating such structures, there is no need to simulate the whole array of unit cells, which would be time and memory consuming. Instead it is advantageous to simulate a single unit cell and use adequate boundary conditions. The dichroic filter shown above can be simulated by the unit cell depicted in figure 2 (left), where the gold areas are sufficiently accurate represented by PEC material (grey). The whole array is modeled by the magnetic and electric boundary conditions, which mirror the structure in x and y direction to infinity.
Figure 2: Structure prepared for simulation with CST MWS (left) and with appropriate boundary conditions (right).
The results obtained with CST MWS are in good agreement with the measurements. The first passband (center frequency 1300 GHz) and second passband (center frequency 1750 GHz), which indicate the filter behaviour, are shown in the measurements and simulation results as well.
![Simulated (left) and measured (right) s-parameter results [1].](/CMS/images/article121/S-parameter_both.PNG)
Figure 3: Simulated (left) and measured (right) s-parameter results [1].
Within the MWS simulation also the electric and magnetic field pattern is obtained. Figure 5 shows the field plots, of the two modes which are able to propagate.
Figure 4: Field plots of the electric field at 1300 GHz (upper) and at 1700 GHz (lower). The frequency of 1300 GHz is located in the first passband, while 1700 GHz is located in the second passband.
References:
[1] C. Winnewisser, F. Lewen, J. Weinzierl, H. Helm, "Transmission features of frequency-selective components in the far infrared determined by terahertz time-domain spectroscopy.", Applied Optics, Vol. 38, No. 18, pp. 3961-3967, 1999.
CST Article "Dichroic Filter"
last modified 6. Oct 2008 6:47
printed 6. Oct 2008 6:47, Article ID 121
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Article ID: 121
Last modified: 6. Oct 2008 6:47
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