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Lignes de transmission - IUT Bordeaux 1...

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Coefficient <strong>de</strong> réflexion Γ :<br />

Coefficient <strong>de</strong> réflexion<br />

et<br />

rapport d’on<strong>de</strong> stationnaire<br />

<strong>Lignes</strong> sans perte : coefficient <strong>de</strong> réflexion Γ<br />

En x=0 , l’impédance <strong>de</strong> charge Z l s’écrit :<br />

D’où :<br />

x<br />

Zl<br />

− Zc<br />

−2<br />

jβx<br />

Γ(<br />

x)<br />

= e<br />

Zl<br />

+ Zc<br />

on<strong>de</strong> inci<strong>de</strong>nte :<br />

j(<br />

ω t+<br />

βx)<br />

Ae<br />

on<strong>de</strong> réfléchie :<br />

j(<br />

ωt−βx) Be<br />

− jβx<br />

on<strong>de</strong> réfléchie Be B −2<br />

jβx<br />

Γ(<br />

x)<br />

=<br />

= = e<br />

on<strong>de</strong> inci<strong>de</strong>nte<br />

jβx<br />

Ae A<br />

En x=0, le coefficient <strong>de</strong> réflexion associée à la charge Z l est :<br />

x=0<br />

charge Z l<br />

A<br />

+ 1<br />

U ( x = 0)<br />

A + B<br />

Z = = = B<br />

l<br />

Zc<br />

Zc<br />

I ( x = 0)<br />

A − B A<br />

−1<br />

B<br />

23<br />

Zl<br />

−Z<br />

Γ(<br />

x=<br />

0)<br />

= Γ(<br />

Z c<br />

l)<br />

=<br />

Z24<br />

l + Zc

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