Structures multicouches de matériaux linéaires

N z
ni
θint
nk
k ek
z
y
ni
θi
nt n1n2n3
e1
Oyz
z
nisin θi=nksin θk

φk=2π
λnkekcos θk
pk=nk
ccos θk
pk=c
nk
cos θk
k
Mk=cos φki
pksin φk
ipksin φkcos φk
N
M=M1M2. . . MN
z= 0 z=L
z= 0
z=L
E(0)
B(0) =ME(L) B(L)
E(z)x
B(z)y E
B
z= 0 z=L
Ei+Er=E(0)
E(L) = Et
B(0) = pi(Ei−Er)
B(L) = ptEt
mij i j M
r=Er
Ei
=(m11 +m12pt)pi−(m21 +m22pt)
(m11 +m12pt)pi+ (m21 +m22pt)
t=Et
Ei
=2pi
(m11 +m12pt)pi+ (m21 +m22pt)
ni/nt

R=|r|2
T=pt
pi|t|2
A= 1 −R−T
 c
˜n=√ra −irb =n−iκ
exp(iωt)
rot  B=µ0γ E+iω r
c2
E
exp(iωt)
n=rr−iγ
0ω
p=1
2|E|2(Re(γ) + ω0rb)

˜n2=ra +1
0ωIm(γ)−i 0ω(Re(γ) + ω0rb)
κ