ABSTRACT

The subset of Maxwell’s equations that governs the propagation of electromagnetic waves can be written

∂Ex ∂t = − 1 0

(

jx + ∂Hy ∂z − ∂Hz ∂y

)

, (C.1)

∂Ey ∂t = − 1 0

(

jy + ∂Hz ∂x − ∂Hx ∂z

)

, (C.2)

∂Ez ∂t = − 1 0

(

jz + ∂Hx ∂y − ∂Hy ∂x

)

, (C.3)

∂Hx ∂t =

1 μ0

( ∂Ey ∂z − ∂Ez ∂y

)

, (C.4)

∂Hy ∂t =

1 μ0

( ∂Ez ∂x − ∂Ex ∂z

)

, (C.5)

∂Hz ∂t =

1 μ0

( ∂Ex ∂y − ∂Ey ∂x

)

(C.6)

(Fitzpatrick 2008). Here, E is the electric field-strength, H the magnetic intensity, j the current density (i.e., the current per unit area), 0 the electric permittivity of free space, and μ0 the magnetic permeability of free space.