Describing material media

Introduction

The material media are described by using of material regions:

  • mainly volume regions in 3D; surface regions and line regions are also possible in 3D
  • mainly surface regions in 2D problems; line regions and point regions are also possible in 2D

For additional information about the role of the regions, see chapter Physics: principles.

Material regions: overview

Volume, surface or line material regions enable the modeling of the material media (with materials). The physical properties of the medium are those of the corresponding material region.

A region… enables the modeling…
air or vacuum

of air or of a vacuum (relative permittivity εr = 1)

perfect conductor*

of a medium of perfect conductor: equipotential frontier (floating or fixed value of electric potential) with a normal electric field

dielectric (+ electric charge sources q)

of a dielectric medium (relative permittivity εr) with a possible volume density of the electric charge source (uniform or space dependent)

Note: * Refer to the § Describing perfect conductors for more details on this type of region.

Thin regions (3D)

Thin regions enable the modeling of regions of slight thickness, for example cracks in the dielectric of a capacitor, etc.

In 3D problems for a thin dielectric region, the direction of the electric field can be selected by the user, as indicated in the table below.

Thin region Direction of fields E and D
no restriction quasi tangential

dielectric (+ electric charge sources q)

thin region with random ε permittivity

thin region with: ε2 >> ε1

Filiform regions (3D)

Filiform regions enable the modeling of small cross-section regions.

In 3D problems for a filiform dielectric region, the direction of the electric field is imposed by Flux. The electric field is considered tangent to the line that models the filiform region.