Frequency Domain Equations
To derive the time harmonic equation this physics interface solves, start with Maxwell-Ampère’s law including displacement current (then called Maxwell-Ampère’s law). Including this does not involve any extra computational cost in the frequency domain. Assume time-harmonic fields
and use the definitions of the fields,
and combine them with the constitutive relationships
B
= μ
0
(
H
+
M
)
and
D
= ε
0
E
+
P
to rewrite Ampère’s law as
The equation of continuity is again obtained by taking the divergence of Ampère’s law. It is the equation solved for the electric potential. Thus the following equations for
V
and
A
apply:
