11 Les équations de Maxwell

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− ω2
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−
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6
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7
=,$
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−
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⋅
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6
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∇∧ ⋅
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= µ, µ
∇∧
&
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− ωε ,ε
+
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4
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µ
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µ
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µ
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σ2
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8
4
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&
→
8
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→ +∞
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µ
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=µ
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−
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µ
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−
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6
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2
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•
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ρ
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∂
∂
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8
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6
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πε ,
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ε,
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ρ ( '$
πε ,
6
•
8
∇⋅ Q= ,
8
∇∧ Q= −
8
∇⋅ Q=
'
&
$ Q$
Q
•
=
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µ,
π
( '$ −
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τ2
τ
Q(
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µ,
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2
&
7
Q& #
1
7
!
2
Q = −∇$ Q −
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∂
∂ Q
∂
1
ρ
+
ε,
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Q = −µ, 2
& #
Q
:
τ$
= − µ,
$
∇ $Q =
&
Q=∇∧
7
∂$Q ρ
≈
∂
ε,
G
∂∇$ Q
∂
∇ ∧ Q = µ, −
8
∂∇$ Q
∂
$=
&
F
%
3
8
ε,
ρ
+
ε,
∂$
≈∇ $ $
∂
#
∂∇ ⋅$
2
∂
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8'8
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≈∇ $
∂$ ρ
≈ 2
∂
ε,
&
;
-
%
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<
•
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%
F 8'8
∇⋅ Q = ,
∇ ∧ Q = − µ,
∂
∂
%
+
%
+
% &
%
%
•
8
2
2
$
# $
+
#
)
2
1
4
%
2
(
Q( =
6
8
4
∇⋅ Q =
∇ $Q = −
(
θ
ρ
ε,
∇∧ Q= −
•
µ,
π2
∂ Q
∂
ρ
$ ∇ Q = − µ,
ε,
$
$
2
•
8
6
∇∧
= µ, 2 "
∇⋅ = ,
I
8
&
6
∂ρ
+∇⋅ = , 2
∂
∂ρ
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%
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# $
0
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,
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+
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,+
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=
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,
− (
,
+
4
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2 2
,
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,+
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2
∂
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5
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1
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%
∇ ∧ Q = µ,
6
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$
(&
$
− ε ,ω2
=σ2 $ & σ =
F
8'8
N
ε =µ =
8'8
σ,
<< ε ,ω $
− ω2τ
)
σ,
2
− ω2τ
6 &
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6
&
<< ε ,ω2 $ F
<< ε ,ω
+
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+
2
8 "
6
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,
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∇⋅ = , $
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ρ 2 <<
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− (
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1
∂
=,$
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ε , T , − 4A $ τ T , − E
ω << , G 2 − 2
1 %
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2
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E 3
8
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6
•
8
;
<
%
%
∂
Q = −∇$ Q −
= −∇$ Q $
∂
∇∧ Q=,
Q
∇∧ Q= , $ ∇⋅ Q=
8
-
2
ρ
ε,
Q
∂ Q
∂
∇ ⋅ Q = , $ ∇ ∧ Q = µ, +
6
•
2
ρ
$∇
ε,
∇ $ =−
•
8
8
= −µ,
)
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%
ρ
2
<< ρ 2 ( F
8'8
2
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ρ
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3
2
0
π
6
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ρ ( '$ −
πε ,
ρ '
#
τ$
'
0
=
µ,
π
ρ
2
( '$ −
'
'
τ
$
%
2
M
=∇∧
6
"
2
0
= − ∇$ −
%
∂
$
∂
0
2
0
$
2
(ρ $
+ −
+ −
− +
: 3
4 π
0
ρ24 π
0
$
∇∧
= µ, +
( $
( +$ −
( −$ +
−
+
+
−
ρ
∇⋅
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%
∂
∂
%
* 3
=
ρ
ε,
%
0
0
0
0
2
2
3O
4
N
6
•
6
•
8
&
+
1
= µ, 2 2 2
N
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8
6
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)% 2
<
(
=,
$ ρ =,2
+
"
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∇⋅ = , $
%
∇ ∧ = µ,
)
( = µ, 2 2 ( 2
N
#2
%
,
8
( 40
9
%
= ( $
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(
6
∇∧
6
⋅
"
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∂
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∂
= ,$
=
⋅
∇∧
∂
⋅ =−
∂
% )%
=
6
= µ,
∇∧
6
θ
%
∂
+
∂
7
$
%
#
&
#
#
%
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