d/ λ =12
Interferenza da N sorgenti
N=2
Intensita'
N=6 N=3
0.0 0.1 0.2 0.3
N=12 N 6
sin(θ)
2
0
sin
sin ⎟⎟ ⎠
⎜⎜ ⎞
⎝
= ⎛
γ γ I N
I γ = π λ d sin ϑ
λ
0, 1, 2,...sin = m = ± ±
m
λ
dϑ
,...
1 ,
1 ,...,
2 , 1 , 0
sin = m = ± ± N − N +
l Nd
λ ϑ
λ
max. principali
min.
( )
0, 1, 2,..., 2, 1,...1 2 2
sin = + m = ± ± N − N +
p Nd
λ ϑ
max. secondari
ϑ ϑ λ
cos 2
= Nd
∆
Larghezza max. principali
d/
λ=12 a/
λ=3
Intens ita'
d d
λ
N=20
λ 2 d
− λ
-0.1 0.0 0.1 0.2 0.3
λ
λ 3d
sin(
θ)
sin
2⎠
⎜⎜ ⎞
⎝
⎛ β
β
ϑ β a i
2
2
⎛ ⎞
⎞
⎛
2
sin
sin ⎟⎟
⎠
⎜⎜ ⎞
⎝
⎛
γ γ N
⎜ ⎠
⎝ β ϑ
π λ
β = sin λ ϑ π
γ = d sin
2
2
sin
sin ⎞ ⋅ ⎛ ⎞
⎛ β N γ
n sita '
d/
λ=8 a/
λ=2 N=10
Int en
0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0
sin(
θ)
d/λ=8 a/λ=2
m=0 m=1 N=10
m=2
λ d N
mN ⎟
⎠
⎜ ⎞
⎝
⎛ −1
λ d N
mN ⎟
⎠
⎜ ⎞
⎝
⎛ +1
Intensita' λN ⎠⎝ ⎠⎝
0.0 0.1 0.2 0.3
sin(θ)
λ d
λ 2 d
(N-1) min. tra due max. principali
N=20
λ
1= λ λ 0
2
=1.1 λ
0
2 0
Intens ita' I
0 0 0 1 0 2 0 3
0.0 0.1 0.2 0.3
