Optique géométrique : lois de Descartes (PCSI)

a n1
n2
i1
θ
θ
i1
L
n1n2
θ
v1v2

i1i2
d1=h1tani1d2=h2tani2d1+d2=d h1tani1+h2tani2=d
h1
cos2i1di1+h2 cos2i2di2= 0
T=1
c1
h1
cosi1+1 c2
h2
cosi2L dL =1 c1
h1
cos2i1sini1di1+1 c2
h2
cos2i2sini2di2= 0
di1di2
1
c1
h1
cos2i1sini1di1−
1
c2
h1
cos2i1sini2di1= 0 1 c1sini1−
1
c2sini2h1di1 cos2i1= 0
ni=c0
cin1sini1=n2sini2

sin i =n sin r
sin i0=n sin r0
A=r+r0
D=i+i0 −A
i
n
i1
D(i1)
i2D(i2) = D(i1)
D(i)
Dmi=im
Dm
A n
sin i0A, n i
n(λ) = a+b
λ2

a n A
i1
B
i0i00 r, r0r000
D
i0, i00 , r, r0r00 i D
i
im
n(λ) = a+b
λ2
a b n (violet)=1.344 n(rouge) =
1.331
Dm(λ)n
λ
δD =Drouge −Dviolet
B
β β