Isotropic / anisotropic material: linear approximation (without losses)
Presentation
This model defines a D(E) law of linear behavior for an isotropic or anisotropic material.
Mathematical model
This model is a straight line.
The corresponding mathematical formula is written:
D(E)= ε0εrE
where:
- ε0 is the permittivity of vacuum; ε0 = 1/(36 π). 10-9 [F/m]
- εr is the relative permittivity of the material
The shape of D(E) curve is presented in the figure below.
Anisotropic material
For an anisotropic material, this linear model consists in a set of three straight lines, one per 3D-space direction.