FieldComponents¶
Type: | enum |
---|---|
Range: | Electric, ElectricXYZ, ElectricXZ, ElectricY, Magnetic, MagneticXYZ, MagneticXZ, MagneticY, Scalar-MagneticX, Scalar-MagneticY |
Default: | Electric |
Appearance: | simple |
Specifies which field components should be computed. The allowed choices have the following meanings:
ElectricXYZ and MagneticXYZ
Use this for rigorous Maxwell solutions with a two-dimensional cross-section. In the first case, the full second order equations for the electric field are solved, yielding a hybrid electric mode where all components are non-zero, see here. In the second case the analogue magnetic field equations are used. Since both settings are derived directly from Maxwell’s equations they yield identical propagation constants . The electric and magnetic fields can be computed from each other by applying Maxwell’s equations.
Scalar-MagneticX and Scalar-MagneticY
Use this for a scalar approximation of Maxwell’s equations (weak guidance approximation, c.f., [1]). The approximation is only valid for low-contrast refractive index profiles. When using Scalar-MagneticX
the and components of the magnetic field are neglected. This allows to simplify Maxwell’s equations to derive a scalar equation for . The choice Scalar-MagneticY
is treated in an analogue way, but now only the components is non-zero.
ElectricY, MagneticXZ and MagneticY, ElectricXZ
Use these for slab problems with a one-dimensional grid field grid.jcm
. For all choices rigorous Maxwell’s equations are solved.
When setting ElectricY
, modes with vanishing electric and -components are computed. In this case Maxwell’s equations simplifies to a scalar equation for in a rigorous manner. The corresponding magnetic field has a vanishing -component and can be computed directly when setting MagneticXZ
. Hence, setting ElectricY
and MagncticXZ
yield identical propagation constants .
The considerations for MagneticY
and ElectricXZ
are similar.
Bibliography
[1] | N.J. Cronin, Microwave and optical waveguides, Institute of Physics Publishing, 1995. |