CPO3D 80th example: enhancement factor for a carbon sheet with rounded edges.

This is a simple simulation with a small number of segments, intended only to show the capabilities.

See also xmpl3d79.

The sheet has a height and width of 1 micron (ie 0.001mm) and a thickness of 1nm (ie 1E-6mm). The edges are rounded (semicircular section). See the footnotes for details.

To create a field an anode is placed at an arbitrary 9 micron away, with a potential of 0.01V, giving a nominal 'far field' of 1V/mm.

The output file shows how the field varies along 17 lines that radiate from the edges. The first 17 lines are shown schematically on the diagram in the footnotes.

They all radiate from the middle of the edge. The other 4 lines radiate in the 'diagonal' plane (y - 0.001) = z.

The dependence of the field on the distance from the edge is not simple, but the field at the edge can be found by plotting the field versus the distance and extrapolating to a zero distance. Note that it is necessary to extrapolate to a zero distance because the field at the surface itself is indeterminate (it is finite on the outside surface but zero on the inside). Note also that if the distance is less than the typical dimensions of the segments that make up the surface then the calculation of the field can be inaccurate. Extrapolation is therefore essential. In the present example the form of the extrapolation has not yet been studied carefully (since this example is intended only to show the capabilities of CPO3D, not to provide an accurate enhancement factor).

Please refer to the footnotes of the data file for further information.