Page 429 - Engineering Electromagnetics, 8th Edition

CHAPTER 12 Plane Wave Reflection and Dispersion 411

Figure 12.2 The instantaneous values of the total field E x1 are shown at
t = π/2. E x1 = 0 for all time at multiples of one half-wavelength from the
conducting surface.

the reflection coefficient and find E x1 in terms of the incident field E . Knowing E x1
+
+
−
x1
and E ,we then find H and H .Inregion 2, E x2 is found from (10), and this then
+
−
+
−
y1
x1
y1
determines H .
+
y2
EXAMPLE 12.1
As a numerical example we select
η 1 = 100
η 2 = 300
E x10 = 100 V/m
+
and calculate values for the incident, reflected, and transmitted waves.
Solution. The reflection coefficient is
300 − 100
= = 0.5
300 + 100
and thus

E x10 = 50 V/m
−