A planar capacitor analysis by EM simulator 4
Issued on August 21, 2009
Finally I tried to analyze a capacitor of which electrode is mesh-shape. As well as the previous analysis, only one electrode is mesh-shape but the other one is still solid metal plane. It is like this.
According to the Analysis 3, we can suppose that the capacitance would be more than the overlapping ratio of the area.
With 10mm*10mm area, necessary memory to analyze exceeds 16MB, which is the limitation of Sonnet Lite. It is because the shape of the upper electrode got complicated. The upper electrode becomes a 5-by-5 window mesh in the size. Then I reduced the size of the bottom electrode to 4.0mm*4.2mm. A 2-by-2 window mesh electrode can be placed there.
The cycle of a mesh line is 2.0mm as well as Analysis 3. I changed the width of the line to 0.2mm, 0.4mm, 0.6mm, 0.8mm and 1.0mm. See figures below. The trace line of the upper electrode was placed in the outside of the bottom electrode as well as Analysis 3.
Here I put the summary table.
Even though you make mesh lines thin, overlapping area doesn't rapidly decrease.
|Overlapping ratio of electrodes
|Line width and space
*Click a figure to enlarge.
I got bigger error than Analysis 3, 2 times error in around 20% overlapping ratio.
mesh cases the effect in Analysis 3 occurs two-dimensionally. In comb-shape cases it occurs in only single axis. But here it occurs in dual axis. So in low range of the overlapping ratio, the error got about 2 times as big as comb-shape cases.
Capacitance of a single mesh-shape electrode capacitor doesn't change in proportion to the overlapping ratio of electrodes. We can not neglect electric lines which pass gap windows of a mesh.
The ratio of capacitance is much more than the overlapping ratio of electrodes in the low range.
Capacitance of a simple and solid-metal-plane planar capacitor changes in proportion to the overlapping area of electrodes. But it is different for a capacitor which has gaps inside of an electrode. The capacitance is more than the overlapping ratio of electrodes.
An electromagnetic simulator is useful for this kind of consideration.
End of document.
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