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2.3 Variables d’états2.3.1 Variables de KirchoffP (x, t) = 1 (ρ 0 c ˜P L(x), L )t2 0 c 0(˜P (l, t) =ρc 2 0 P X (l), c )0L t⎧⎨⎩2.3.2 Variables de type ondes planes p ±e ac (x, t) = 1 2 R(x)2 [(1+ R c 2(1U(x, t) =c 0 L 2 S ( L(x) ) Ũ L(x), L )tc 0) (Ũ(l, t) =c 0 ˜S( X (l) U X (l), c )0L t∂x 2 P (x, (x)t)+2R′ R(x) ∂ x P (x, t) − ∂t 2 P (x, t) = 0∂ t U(x, t)+∂ x P (x, t) = 0{ []()s 2 +Υ− ∂x2 R(x)P (x, s) = 0sU(x, s)+∂ x P (x, s) = 0e ac (x, t) =πR(x) 2 P (x, t) 2 + U(x, t) 2p ± (x, t) = 1 (ρ 0 c 2 ˜p± L(x), L )t0 ( c 0˜p ± (l, t) =ρ 0 c 2 0 p ± X (l), c )0L t[ ] [ ][ ]p + (x, s)p − = 1 1 S(x)/Sc P (x, s)(x, s) 2 1 −S(x)/S c U(x, s)[ ] [][ ]P (x, s) 1 1 p + (x, s)=U(x, s) S c /S(x) −S c /S(x) p − (x, s)R(x) 2 ) (p + (x, t) 2 + p − (x, t) 2) +22.3.3 Variables de type ondes sphériques φ ±2(1 − R c 2 )]R(x) 2 p + (x, t)p − (x, t)(φ ± 1(x, t) =Lρ 0 c ˜φ ± L(x), L )t2 0 c 0˜φ ( ± (l, t) =Lρ 0 c 2 0 φ ± X (l), c )0L t[ ] [ ][φ + (x, sφ − = R(x) 1 1 P (x, s)(x, s) 2 1 −1 U(x, s)[ ] [ ][P (x, s)= 1 1 1 φ + (x, s)U(x, s) R(x) 1 −1 φ − (x, s)]]{ (s + ∂x)φ + (x, s) = σ(x)φ − (x, s)(s − ∂x)φ − (x, s) = −σ(x)φ + (x, s)