Lecture 5 - EM waves with boundaries Notes | EduRev

: Lecture 5 - EM waves with boundaries Notes | EduRev

 Page 1


Module I: Electromagnetic waves
Lecture 5: EM waves with boundaries
Amol Dighe
TIFR, Mumbai
Page 2


Module I: Electromagnetic waves
Lecture 5: EM waves with boundaries
Amol Dighe
TIFR, Mumbai
Outline
1
EM waves at dielectric boundaries: re?ection, transmission
2
EM waves in conductors: inside and at the boundary
Page 3


Module I: Electromagnetic waves
Lecture 5: EM waves with boundaries
Amol Dighe
TIFR, Mumbai
Outline
1
EM waves at dielectric boundaries: re?ection, transmission
2
EM waves in conductors: inside and at the boundary
Coming up...
1
EM waves at dielectric boundaries: re?ection, transmission
2
EM waves in conductors: inside and at the boundary
Page 4


Module I: Electromagnetic waves
Lecture 5: EM waves with boundaries
Amol Dighe
TIFR, Mumbai
Outline
1
EM waves at dielectric boundaries: re?ection, transmission
2
EM waves in conductors: inside and at the boundary
Coming up...
1
EM waves at dielectric boundaries: re?ection, transmission
2
EM waves in conductors: inside and at the boundary
Re?ection and refraction
An EM wave is incident from one medium (
1
;
1
;n
1
;c
1
) to another
medium (
1
;
1
;n
1
;c
1
), at an angle
I
with the normal to the boundary.
Page 5


Module I: Electromagnetic waves
Lecture 5: EM waves with boundaries
Amol Dighe
TIFR, Mumbai
Outline
1
EM waves at dielectric boundaries: re?ection, transmission
2
EM waves in conductors: inside and at the boundary
Coming up...
1
EM waves at dielectric boundaries: re?ection, transmission
2
EM waves in conductors: inside and at the boundary
Re?ection and refraction
An EM wave is incident from one medium (
1
;
1
;n
1
;c
1
) to another
medium (
1
;
1
;n
1
;c
1
), at an angle
I
with the normal to the boundary.
Incident, re?ected and refracted waves
Incident wave
~
E
I
=
~
E
I0
e
i(
~
k
I
~ r!t)
(1)
~
B
I
=
~
k
I
!

~
E
I
=
1
c
1
(
^
k
I

~
E
I
) (2)
Re?ected wave
~
E
R
=
~
E
R0
e
i(
~
k
R
~ r!t)
(3)
~
B
R
=
~
k
R
!

~
E
R
=
1
c
1
(
^
k
R

~
E
R
) (4)
Transmitted wave
~
E
T
=
~
E
T0
e
i(
~
k
T
~ r!t)
(5)
~
B
T
=
~
k
T
!

~
E
T
=
1
c
2
(
^
k
T

~
E
T
) (6)
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