Uniform Static Field

Definition

The static electric field with amplitude $a$ and direction $\hat{\bm p}$ is given by

\[\bm e(\bm r) = a \, \hat{ \bm p} \,.\]

The API provides the following constructor with default values:

ex = UniformField(; 
    embedding=Medium(ε0, μ0), 
    amplitude=1.0, 
    direction=SVector{3,typeof(amplitude)}(1.0, 0.0, 0.0)
)

Tip

The direction vector is automatically normalized to a unit vector during the initialization.

The electric field is as given above.

The general API is employed:

Φ = field(ex, ScalarPotential(point_cart))

E = field(ex, ElectricField(point_cart))

The scattered field computation follows [3].

The following API is employed:

Φ = scatteredfield(sp, ex, ScalarPotential(point_cart))

E = scatteredfield(sp, ex, ElectricField(point_cart))

For the dielectric sphere with thin impedance layer two additional quantities are available:

Φ = scatteredfield(sp, ex, ScalarPotentialJump(point_cart))

E = scatteredfield(sp, ex, DisplacementField(point_cart))

The following API is employed:

Φ = field(sp, ex, ScalarPotential(point_cart))

E = field(sp, ex, ElectricField(point_cart))