maxwell.j.c
Newbie level 3
I'm having problems in the calculation of power using FDTD method and the poynting vector.
The Yee cell has 6 faces, so i have to calculate [(E × H) dot n] in each face, rigth?
But how i can do that? For example, the upper face. In that face, n points to z direction, and in that face we have only Ez, Hx and Hy, so the Poynting vector is in x and y direction. If Poynting vector is in x and y direction, in that face, (E × H) dot n is 0. The same happens in all other faces.
Where am I wrong?
Thanks in advance.
Added after 24 minutes:
I have to consider the other cells?
For example, in the following figure:
**broken link removed**
If I want to calcute the [(E × H) dot n] in rigth face (yellow) of cell 1, I have the result:
(EzHx - ExHz)
But in that face there are no Ez and Ex. I can use the Neighborhood cells? I can say that Ez and Ex in that face is:
Ez = 0.25 *
[Ez in the upper face in cell 1 +
Ez in the lower face in cell 1 +
Ez in the upper face in cell 2 +
Ez in the lower face in cell 2]
Ex = 0.25 *
[Ez in the front face in cell 1 +
Ez in the back face in cell 1 +
Ez in the front face in cell 2 +
Ez in the back face in cell 2]
?
Thanks
The Yee cell has 6 faces, so i have to calculate [(E × H) dot n] in each face, rigth?
But how i can do that? For example, the upper face. In that face, n points to z direction, and in that face we have only Ez, Hx and Hy, so the Poynting vector is in x and y direction. If Poynting vector is in x and y direction, in that face, (E × H) dot n is 0. The same happens in all other faces.
Where am I wrong?
Thanks in advance.
Added after 24 minutes:
I have to consider the other cells?
For example, in the following figure:
**broken link removed**
If I want to calcute the [(E × H) dot n] in rigth face (yellow) of cell 1, I have the result:
(EzHx - ExHz)
But in that face there are no Ez and Ex. I can use the Neighborhood cells? I can say that Ez and Ex in that face is:
Ez = 0.25 *
[Ez in the upper face in cell 1 +
Ez in the lower face in cell 1 +
Ez in the upper face in cell 2 +
Ez in the lower face in cell 2]
Ex = 0.25 *
[Ez in the front face in cell 1 +
Ez in the back face in cell 1 +
Ez in the front face in cell 2 +
Ez in the back face in cell 2]
?
Thanks