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M3P2
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a008ac6e
Commit
a008ac6e
authored
Dec 11, 2022
by
Claude Meny
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Update textbook.fr.md
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textbook.fr.md
...-interfaces/10.boundary-conditions/10.main/textbook.fr.md
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12.temporary_ins/96.electromagnetism-in-media/20.reflexion-refraction-at-interfaces/10.boundary-conditions/10.main/textbook.fr.md
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a008ac6e
...
...
@@ -672,7 +672,7 @@ i.e. the reflected wave is totally reflected with a phase shift.
----------------
#### Oblique incidence onto a perfect conductor
####
3.5 -
Oblique incidence onto a perfect conductor
We consider now a linearly polarised plane wave travelling in a
perfect dielec- tric making an oblique incidence onto a perfect
...
...
@@ -689,29 +689,31 @@ incident and reflected fields.
##### Incident fields
Considering the situation depicted in figure [3.13,]
(#_bookmark74)
the
Considering the situation depicted in figure [3.13,] the
incident wavevector is given by:
@@@@@@@@ $`
\q
uad (equ. 3.56)
`$
we obtain :
Inserting this into the incident fields, and calculating the components of the
$`
\o
verrightarrow{E}
`$ and $`
\o
verrightarrow{B}
`$ fields form the picture (or using
the plane wave rule $`
\o
verrightarrow{B}_i=
\d
frac{
\o
verrightarrow{k}_i
\t
imes
\o
verrightarrow{E}_i}{
\o
mega}
`$)
, we obtain :
@@@@@@@@@@@@
2there is "-" sign in front of the fields as the chosen electric field
drawn in figure [3.13](#_bookmark74) is antiparallel to the *x* axis.
chap3 TE Wave TM Wave
![]()



_Figure 3.13 : Configuration des champs e.m pour le mode TE._
and
@@@@@@@@ $`
\q
uad (equ. 3.58)
`$
chap5
Reflected fields
#####
Reflected fields
@@@@@@@@@@@@
...
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@@ -732,7 +734,7 @@ and
@@@@@@@@ $`
\q
uad (equ. 3.60)
`$
chap5
Total fields
#####
Total fields
@@@@@@@@@@
...
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@@ -754,12 +756,11 @@ field is parallel to the interface.
@@@@@@@@@@@@@
![]()
![]()
! *Important remarks*
! ...


_Figure 3.14: The total electric field_
_amplitude of a TE wave upon oblique incident onto a perfect conductor._
_The field has a propagation character along the *z* axis and a_
...
...
@@ -768,7 +769,8 @@ _plane are displayed. The blue and red colours represent the minimum_
_and maximum of the field amplitude. You can easily reproduce this_
_pattern with water waves._
chap5 Poynting vector
##### Poynting vector
To this aim it is convenient to revert to the real notation for the
fields:
...
...
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