Harmonic dependence of the fields may be implmented via Ē(x,t) = Re [Ē() exp(-iwt)], where Ē() may be complex, and simmilarly for the magnetic field. Show that the time-average of the Poynting vector can be expressed as (S) - 1 2μο · Re[Ē(x) × Ẻ(x)*].

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Harmonic dependence of the fields may be implmented via
Ē(x,t) = Re [Ē() exp(-iwt)],
where Ē() may be complex, and simmilarly for the magnetic field. Show that the
time-average of the Poynting vector can be expressed as
(S)
-
1
2μο
· Re[Ē(x) × Ẻ(x)*].
Transcribed Image Text:Harmonic dependence of the fields may be implmented via Ē(x,t) = Re [Ē() exp(-iwt)], where Ē() may be complex, and simmilarly for the magnetic field. Show that the time-average of the Poynting vector can be expressed as (S) - 1 2μο · Re[Ē(x) × Ẻ(x)*].
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