Unformatted text preview: ECE 329 Homework 9 Due: Thurs, Oct 30, 2008, 5PM 1. A plane wave ﬁeld V
m
is propagating in vacuum in +z direction and is incident on z = 0 plane which happens to be the
boundary of a perfect dielectric having permittivity 4 o and permeability µo in the region z > 0.
Calculate:
E = 10 cos(ω t − β z )ˆ
x a) The reﬂected and transmitted electric ﬁelds in terms of reﬂection and transmission coeﬃcients
R = η2 −η1 and T = 1 + R for the described interface. Express the ﬁelds in phasor form.
η2 +η1
b) The incident, reﬂected, and transmitted H ﬁelds in A/m units. Express the ﬁelds in phasor
form.
c) The timeaverage power per unit area transported by the incident, reﬂected, and transmitted
waves in W/m2 units. Are the calculations compatible with energy conservation principle?
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 Spring '08
 FRANKE
 Permittivity, Fundamental physics concepts, phasor, plane wave ﬁeld, energy conservation principle

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