MirrorSymmetry¶

Type:	Vector<enum>
Range:	[v_1, …], v=ElectricSymmetric\|MagneticSymmetric
Default:	-/-
Appearance:	optional

In this presence of mirror symmetries it is required to specify the field behavior of the symmetric resonance mode across any mirror planes. A mirror plane is characterized by its normal vector $\pvec{n}$ . For type ElectricSymmetric the electric field is polarized within the mirror plane and the magnetic field is perpendicular to the mirror plane:

$\begin{eqnarray*} \pvec{n} \cdot \VField{E} & = & 0,\;\mbox{(electric symmetric)}, \\ \pvec{n} \times \VField{H} & = & 0,\;\mbox{(magnetic anti symmetric)}. \end{eqnarray*}$

For type MagneticSymmetric we have

$\begin{eqnarray*} \pvec{n} \times \VField{E} & = & 0,\;\mbox{(electric anti-symmetric)}, \\ \pvec{n} \cdot \VField{H} & = & 0,\;\mbox{(magnetic symmetric)}. \end{eqnarray*}$

For multiple mirror planes you must specify all individual mirror symmetry types in a vector. Thereby, the mirror planes (maximum three planes) are ordered by the following convention: A mirror plane with normal $\pvec{n}$ comes before another mirror plane with normal $\pvec{n'}$

$|n_z|<|n'_z|$ , or
$\left( |n_z|=|n'_z|\;\mbox{and}\; |n_y|<|n'_y| \right)$ , or
$\left( |n_z|=|n'_z|\;\mbox{and}\;|n_y|=|n'_y|\;\mbox{and}\;n_x<n'_x\right)$

Note

The mirror planes together with their normals and ordering are shown within JCMsuite.