Rapport de stage - Master 2 SAR ATIAM - Base des articles ...

2.2 Variables et fonctions de base2.2.1 Variables indépendantes et coefficients2.2.2 Rayons, pentes et surfacest = c 0L ˜t s = L c 0˜s Υ=L 2 ˜Υ ε =√L˜ε˜t = L c 0t ˜s = c 0L s ˜Υ =1L 2 Υ ˜ε = 1 √LεR ( x ) = 1 L ˜R ( L(x) )˜R ( l ) = LR (X (l))dR( ) 1 x =dx Ld ˜Rdxd ˜R ( ) dR l = Ldl dl( ) d ˜R ( )L(x) = ldldR( )(X (l)) = xdxσ ( x ) = Lζ ( L(x) ) = R′( x )R ( x ) S( x ) = πR ( x ) 2 1 =L ˜S ( 2 L(x) )ζ(l) = 1 L σ (X (l)) = ˜R ′( l )˜R ( l )) ) 2˜S( l = π ˜R( l = L 2 S (X (l))C Υ : z(√ )↦→ cosh Υ zS Υ : z ↦→( √Υ )sinh z√Υ˜R(l) =LR ( X (l) ) = ÃC˜Υ(l)+ ˜BS˜Υ(l)˜R ′ (l) = d ˜R (l) =LdRdl dl (X (l)) = Ã ˜Υ S ˜Υ(l)+ ˜BC˜Υ(l)R(x) = 1 L ˜R ( L(x) ) = AC Υ (x)+BS Υ (x)R ′ (x) = dRdx (x) = 1 d ˜R ( )L(x)L dx= A Υ S Υ (x)+BC Υ (x)2.2.3 Autres fonctions( c0)Γ(s) =L˜ΓL s = √ s 2 1+Υ e ac (x, t) =ρ 0 c 2 0 L 2 ẽac˜Γ(˜s) = 1 ( ) LL Γ ˜s =c 0(L(x), L )tc 0√ ( ) ˜s 2+c ˜Υ(ẽ ac l, ˜t ) (= ρ 0 c 2 0 L 2 e ac X (l), c 00 L ˜t)