A circularly polarized uniform plane wave of phasor electric field intensity E' = (Aâ, + j\5â‚- B, )ek, " v/m, where A and 8 are real constants, and f =3x10° Hz is obliquely incident from a dielectric medium with (3E, Ho) onto another dielectric with (2€,, Ho) as shown in the figure. o) Determine the angle of incidence 0,, so that reflected field is linearly polarized. Explain your reasoning. You don't höve to find the numerical value of O,, you con just give sin 6, and coso,. For the questions asked in parts b, c, d,and e, use the incidence angle found in part a, b) Find the propagation vectors of the incident and the reflected waves, , k,. c) Find the numerical values of A and B. d) Find the expression of the reflected electric field. e) Comment on the polarization of the transmitted wave without actually computing fields. A Find the range of incidence angles, so that incident field is totally reflected. You don't have to find the numerical values of 8,, you can just give sin 0, ond cose;.

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I need the solution of the question in image below. I only need parts "d" and "e". Thats why I'm adding the solutions of part "a-b-c". 

so l-
The
expression for ele etrie field of a
the incident beam
we abdume that
Circularly Polaxized
uniform plane wave
then ky =o and
13
fall in the
Plane
given by
Condeguently
Rry
-i (Ri.)
LWave vectos of incident beam
(Aân + i J5 ây - Bâg
E
whe re
e
The uniform
Wave vector of reflected beam
W ave
ap proaches from one
Kiy
me dium (3 eo, do)
to the othex dielectric.
k sino
k, Sin O,
diele tric
So, kx
medium (2e0,duo) as an oblique .
lie in the Same medium
As
both of them
we Can woite
Phate velo city as
The
refle (ted wave will be linearly Polavized
%3D
will incident at 8rew Ster's
R
RI
when the
Wave
AS
= RI
anyle
OB
'. 0 = 01
%3D
2
.'. tan OB
Ky
%3D
-B'az
=) (âu kx +
tan (o.812)
OB =
B'az
=) A Kx + jVs ky
Bkz =0
'. OB =
39°
Sin(39")
0.63
So, Sin OB
=) Akx + jš Ky + BKz =0
0.78
Cos Og = Cos (39°)
. A - -j š Ky
and
B =
Transcribed Image Text:so l- The expression for ele etrie field of a the incident beam we abdume that Circularly Polaxized uniform plane wave then ky =o and 13 fall in the Plane given by Condeguently Rry -i (Ri.) LWave vectos of incident beam (Aân + i J5 ây - Bâg E whe re e The uniform Wave vector of reflected beam W ave ap proaches from one Kiy me dium (3 eo, do) to the othex dielectric. k sino k, Sin O, diele tric So, kx medium (2e0,duo) as an oblique . lie in the Same medium As both of them we Can woite Phate velo city as The refle (ted wave will be linearly Polavized %3D will incident at 8rew Ster's R RI when the Wave AS = RI anyle OB '. 0 = 01 %3D 2 .'. tan OB Ky %3D -B'az =) (âu kx + tan (o.812) OB = B'az =) A Kx + jVs ky Bkz =0 '. OB = 39° Sin(39") 0.63 So, Sin OB =) Akx + jš Ky + BKz =0 0.78 Cos Og = Cos (39°) . A - -j š Ky and B =
(360. Ho)
Ax (260, Ha)
A circularly polarized uniform plane wave of phasor electric field intensity
E' = (Aâ, + j\5â‚- Bâ, )e-Jk,* v/m, where A and 8 are real constants, and f=3x10° Hz
%3D
is obliquely incident from a dielectric medium with (36,, Ho) onto another dielectric with (2E,, Ho)
as shown in the figure.
o) Determine the angle of incidence 0,, so that reflected field is linearly polarized. Explain your
reasoning. You don't höve to find the numerical value of O, you can just give sin 6, and
coso,.
For the questions asked in parts b, c, d,ond e, use the incidence ongle found in part a,
b) Find the propagation vectors of the incident and the reflected waves, ,, k,.
c) Find the numerical values of A and B.
d) Find the expression of the reflected electric field.
e) Comment on the polarization of the transmitted wave without actually computing fields.
A Find the range of incidence angles, so that incident field is totally reflected. You don't hove to
find the numerical values of e;, you can just give sin 0, ond cose;.
Transcribed Image Text:(360. Ho) Ax (260, Ha) A circularly polarized uniform plane wave of phasor electric field intensity E' = (Aâ, + j\5â‚- Bâ, )e-Jk,* v/m, where A and 8 are real constants, and f=3x10° Hz %3D is obliquely incident from a dielectric medium with (36,, Ho) onto another dielectric with (2E,, Ho) as shown in the figure. o) Determine the angle of incidence 0,, so that reflected field is linearly polarized. Explain your reasoning. You don't höve to find the numerical value of O, you can just give sin 6, and coso,. For the questions asked in parts b, c, d,ond e, use the incidence ongle found in part a, b) Find the propagation vectors of the incident and the reflected waves, ,, k,. c) Find the numerical values of A and B. d) Find the expression of the reflected electric field. e) Comment on the polarization of the transmitted wave without actually computing fields. A Find the range of incidence angles, so that incident field is totally reflected. You don't hove to find the numerical values of e;, you can just give sin 0, ond cose;.
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