Ondes électromagnétiques dans le vide Notes de

∆ψ=O2ψ=1
c2
∂2ψ
∂t2
ψ=ExEyEzBxByBz
c=1
√ε0.µ0
= 3 ×108m·s−1
~
B~ E
z
z
•λ
•ν < 10 GHz
•
•γ λ < 1 nm ⇔ν > 3×1018 Hz
◦

z
◦

◦

E=E(r) cos(ω t −~ k ~r)
E=E0cos(ω t −~ k ~r)
ψ(~r, t) = ψm.cos ω.t −~ k.~r −ϕ
˜
ψ=ψm.e−iω.t.e+i.~
k.~r.e+iϕ
ψ(~r, t) = <(˜ ψ) = ˜
ψ+˜ ψ∗
2
ψ˜ ψ˜ ψ=˜
~
E, ˜
~
B)
B
∂
∂t → −i.ω
O→+i.~ k
B
B
◦

c
Eϕ=~.ω =h.ν
~= 1,055 ×10−34 J·s~=h
2.π
~pϕ=~.~ k
nϕ
m−3
BJ·m−3
heemi=nϕ.Eϕ
BW·m−2
h~πi=c2.nϕ.~pϕ
eem =ee+em
eeem
ee=1
2ε0.E2=em=B2 2.µ0
=eem
2
~π =c.eem~uz
~uz
h~πi=1
2.<
˜
~
E∧
˜
~
B∗
µ0
heemi=ε0
4<˜
~
E. ˜
~
E∗+1
4.µ0<˜
~
B. ˜
~
B∗
◦