reflection Coefficient for an incident wave which has normal on the perfect dielectric is (E1=permittivity of first medium :
E2= permittivity of second medium
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Answer:
Faculdade de Engenharia
Electromagnetic Engineering
MAP-Tele – 2008/2009
— Plane wave incidence —
1 The electric field intensity of a left-hand circularly polarized electromagnetic wave of frequency
200 MHz is 10 Vm−1
. This wave propagates in air and impinges normally on a dielectric medium
with εr = 4 that is located in the region z ≥ 0. The x component of the incident electric field
phasor has a maximum at z = 0 when t = 0.
0 z
Ei
dielectric
(a) Determine the electric field phasor of the incident wave.
(b) Find the reflection and transmission coefficients.
(c) Obtain the electric field phasors of the reflected and transmitted waves, and of the total field
in the region z ≤ 0.
(d) Find the fraction of the incident average power that is reflected by the interface and the one
that is transmitted to the dielectric medium.
2 Repeat the previous problem, assuming now that the region z ≥ 0 is filled wiht a poor conductor
with εr = 2.25, µr = 1 and σ = 10−4 Sm−1
.
3 At 200 MHz a given medium is characterized by σ = 0, µr = 15(1 − j3) and εr = 50(1 − j1). Find:
(a) η/η0, λ/λ0 and v/v0, where η is the intrinsic impedance and v is the phase velocity (the
subscript 0 corresponds to values in air);
(b) the skin depth δ;
(c) the attenuation in dB for a distance of 5 mm;
(d) the reflection coefficient for a wave propagating in air that impinges normally in this medium.
4 A nonconducting material with µr = εr = 6 − j6 is located under a perfectly conducting plate.
Assuming that a electromagnetic wave propagating in air with a frequency of 500 MHz impinges
normally in this material, find the thickness of the material that reduces the amplitude of the
reflected wave by 35 dB?
Ei
conductor
material
1