1 Exercice 1: Propagation dans un milieu diélectrique 2 Problème 1

ab a=a/a
a R = (x, y, z)
ε εrn=√εr
e−iωt
E,D,B,H
E H
∆E(R) + K2E(R) = 0,
K
E(R) = eiK·RE0B(R) = eiK·RB0
K,E0,B0
E0
n1n2
y= 0
r t
n2=n0
2+in00 2
n00
2>0
λ n00
2
E B
VA E B
div A+1
c2
∂V
∂t = 0.
A

e−iωt
∆A(R) + K2
0A(R) = −µ0j(R),
jK0
A(R) = −µ0ZdR0G(R−R0)j(R0),
G G(R) = G(R) = −eiK0R/(4πR)
R0< D
R >> D
A(R)' −µ0G(R)J(b R),
J(b R) = ZdR0e−iK0
b
R·R0j(R0)
b
R=R/R
b
R
∼1/R 
rot (J(b
R))
∼1/R  rot (b
R×J(b R))
∼1/R
rot (GJ) = Grot (J) + ∇G×J
B(R)' −iµ0K0G(R)b R×J(b R)
E(R)'iωµ0G(R)b R×[b R×J(b R)],
J(b R)' −iωp,
p
RRdiv j(R)dR=−Rj(R)dR
P(R)b
RP(b R) = R2P(R)·b R
P(b R) = αK2
0
b
R×J(R)
2
,
α
ω4