- #1
lholmes135
- 12
- 0
- TL;DR Summary
- Please explain meaning of each element of permittivity as a tensor.
If I have an anisotropic material with permittivity:
$$\epsilon=
\begin{pmatrix}
\epsilon_{ii} & \epsilon_{ij} & \epsilon_{ik} \\
\epsilon_{ji} & \epsilon_{jj} & \epsilon_{jk} \\
\epsilon_{ki} & \epsilon_{kj} & \epsilon_{kk} \\
\end{pmatrix}
$$
What exactly does each element represent in this matrix? For example, if I have an electric field polarized in the x direction, and moving in the y direction, how do I determine the permittivity in this case?
$$\epsilon=
\begin{pmatrix}
\epsilon_{ii} & \epsilon_{ij} & \epsilon_{ik} \\
\epsilon_{ji} & \epsilon_{jj} & \epsilon_{jk} \\
\epsilon_{ki} & \epsilon_{kj} & \epsilon_{kk} \\
\end{pmatrix}
$$
What exactly does each element represent in this matrix? For example, if I have an electric field polarized in the x direction, and moving in the y direction, how do I determine the permittivity in this case?