# 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. |