Summary edit

${\displaystyle I_{r}=4{\frac {E_{0}^{2}}{D^{2}+x^{2}}}\cdot \mathrm {sinc} ^{2}\left(\pi \cdot {\frac {x}{B}}\right)\cdot \cos ^{2}\left(\pi \cdot {\frac {x}{A}}\right)}$

Profil d'intensité avec des fentes de Young ; conditions :

• distance entre les fentes : d = 0,5 µm ;
• longueur d'onde : λ = 630 nm (rouge) ;
• distance fentes-écran : D = 1 m ;
• A = λ · D / d = 1,26 m ;
• B = λ · D / a = 126 m ;

Intensity profile with Young double-slits; conditions :

• distance between the slits : d = 0.5 µm ;
• wavelength : λ = 630 nm (red) ;
• distance slits-screen : D = 1 m ;
• A = λ · D / d = 1.26 m.
• B = λ · D / a = 126 m ;

Auteur/author : Christophe Dang Ngoc chan (cdang)

Réalisé avec/made with Scilab

clear;clf;

// constantes

d = 5e-7; // distance entre les fentes en m
D=1; // distance fentes/écran en m
lambda=6.3e-7; // longueur d'onde en m (rouge)
A=(lambda*D)/d; // pseudo-longueur d'onde de la figure de diffraction
a = 5e-8;
B = (lambda*D)/a;

// fonction

deff('y=I(x)','y=(cos(%pi*x/A))^2')
deff('y=I1(x)','y=1/(D^2+ x^2)') // décroissance circulaire
deff('y=I2(x)','y=(sin(%pi*x/B)*B/(%pi*x))^2') // diffraction par chaque fente

// valeurs
X=[0:0.01:10]';
NX = size(X); nx=NX(1,1);

Y=feval(X,I);
Y1=feval(X,I1);
Y2(1)=1;
Y2(2:nx)=feval(X(2:nx),I2);
Y3 = Y.*Y1.*Y2;

// tracé

plot2d(X,Y3,style=color('red'))
plot2d(-X,Y3,style=color('red'))
xtitle('Diffraction par des fentes de Young','x','I (4E0^2)')

Licensing edit

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