# Data For Triangles

Data for triangles consist of metallic triangles, edges, symmetry, dielectric triangles as well as advanced information for corner and end points.

## Metallic Triangles

For the metallic triangles the following extract is written:

                         DATA OF THE METALLIC TRIANGLES

no.       label     x1 in m     y1 in m     z1 in m       edges
medium     x2 in m     y2 in m     z2 in m
medium     x3 in m     y3 in m     z3 in m
nx          ny          nz          area in m*m
1      0   0.0000E+00  0.0000E+00  0.0000E+00            1
Free s   0.0000E+00  2.0000E-01  0.0000E+00
Free s   3.3333E-02  0.0000E+00  0.0000E+00
0.0000E+00  0.0000E+00 -1.0000E+00      3.3333E-03
2      0   3.3333E-02  2.0000E-01  0.0000E+00           -1         2         3
Free s   3.3333E-02  0.0000E+00  0.0000E+00
Free s   0.0000E+00  2.0000E-01  0.0000E+00
0.0000E+00  0.0000E+00 -1.0000E+00      3.3333E-03

The first column gives the number of the triangle. The second column gives the label followed by the medium in which the triangle is situated. A 0 means that the triangle is in free space. The next three columns are the X coordinate, Y coordinate and Z coordinate of the three corner points of the triangles.

In the first row of each triangle follows another list of the numbers of the edges of the adjacent triangles. A positive sign indicates that the positive current direction is away from the triangle. A negative sign indicates that the positive current direction is towards the triangle. The area of the triangle is given below the edges in m2.

## Metallic Triangle Edges

The data for the metallic triangle edges is given after the metallic triangles. Such an edge is generated wherever two triangles have two common vertices. An additional line (or row) gives the components (nx, ny, nz) of the normal vector of each triangle.

                         DATA OF THE METALLIC EDGES (with MoM)

triangle no.  points of tr.  information on symmetry
no.  type  length/m   media    KORP  KORM  POIP   POIM  yz   xz   xy     status
1   1   2.0276E-01  Free s    -1     1     2     1     1    0    0   0  unknown
2   1   2.0000E-01  Free s    -1     2     3     3     3    0    0   0  unknown
3   1   3.3333E-02  Free s    -1     2     7     2     2    0    0   0  unknown  
Note: In the above table the spacing between columns was reduced to facilitate rendering the rows as single lines of data.
Each edge is assigned a consecutive number, which appears in the first column. The second column indicates the type of the edge. The third column gives the length of the edge and the fourth column gives the medium in which the edge is found. On an edge there are exactly two triangles. The columns KORP and KORM give the numbers of these two triangles and the positive current direction is from the triangle KORP to the triangle KORM . The column POIP gives the number of the corner point of the triangle KORP which is opposite to the edge. The same applies to the column POIM.

The next four columns contain information regarding the symmetry. The column yz gives the number of the edge corresponding to the X=0 plane (YZ plane) of symmetry. A positive sign indicates that the currents are symmetric and a negative sign indicates that the currents are anti-symmetric. If there is a 0 present in this column then a symmetric edge does not exist. The same applies to the next columns xz and xy concerning the Y=0 plane and the Z=0 plane.

If the last column with the heading status displays unknown then the edge has an unknown status. This means that the applicable coefficient of the current basis function cannot be determined from the symmetry, but has to be determined form the solution of the matrix equation. If a 0 is displayed instead then the coefficient of the current basis function is 0 due to electric or magnetic symmetry and does not have to be determined.

If there is any other number in the status column then this number indicates another edge for which the coefficient is equal to (positive sign in the status column) or the negative of (negative sign in the status column) the coefficient of the current basis function. From symmetry the coefficient of the current triangle does not have to be determined.

## Dielectric Triangles

The data of the dielectric triangles (SEP method) is very similar to that of metallic triangles.
                         DATA OF THE DIELECTRIC TRIANGLES

no.       label     x1 in m     y1 in m     z1 in m       edges
medium     x2 in m     y2 in m     z2 in m
medium     x3 in m     y3 in m     z3 in m
nx          ny          nz          area in m*m
1      0   7.1978E-01  0.0000E+00  7.1978E-01            1         2         3
1   9.4044E-01  0.0000E+00  3.8954E-01
Free s   8.6886E-01  3.5989E-01  3.8954E-01
8.2033E-01  1.6317E-01  5.4812E-01      7.2441E-02
2      0   9.4044E-01  0.0000E+00  3.8954E-01            4         5         6
1   1.0179E+00  0.0000E+00  0.0000E+00
Free s   9.4044E-01  3.8954E-01  0.0000E+00
9.6264E-01  1.9148E-01  1.9148E-01      7.8817E-02

## Dielectric Edges

For the dielectric edges the extract is as follows:
                         DATA OF THE DIELECTRIC EDGES (with MoM)

triangle no.  points of tr.  electr. info on symmetry ...
no. type  length/m   media     KORP  KORM   POIP   POIM   yz   xz   xy   status    ...
1   3   3.6694E-01  Free s  1   1     3      1      3    40   75   141  unknown   ...
2   3   5.1069E-01  Free s  1   1     4      2      1    41   76   142  unknown   ...
3   3   3.9718E-01  Free s  1   1     45     3      2    42   -3   143     0      ...

magnet. info on symmetry
yz     xz     xy  status
40     75    141  unknown
41     76    142  unknown
42     -3    143  unknown

Note: In the above table the spacing between columns was reduced to facilitate convenient rendering of line breaks in the rows of data.
The symmetry information is shown for the basis functions for both the equivalent electric and magnetic current densities.