ARGET STRENGTH 234 Reflection and target strengthInterface reflection1xyptpri pθ θθ21 1ρ c1 1ρ c2 2pi = Ieiωt −i(k1x sin θ1−k1y cos θ1) epr = Reiωt −i(k1x sin θ1+k1y cos θ1) ept = T eiωt −i(k2x4 REFLECTION AND TARGET STRENGTH 24Boundary condition 1: continuity of pressure:@ y = 0 p1 = pi + pr = pt = p2Boundary condition 2: continuity of normal particle velocity:@ y = 0 v1 = vi + vr = vt = v2Momentum equation∂v = −1 ∂p· ∂t ρ ∂ybut ∂v∂t = iωv (since v ∝ eiωt)=⇒ v = i ∂pωρ ∂yContinuity of pressure:pi |y=0 + pr |y=0 = pt |y=0(I + R)e−ik1x sin θ1 = T e−ik2x sin θ2(I + R)e = T e −iωx −iωx sin θ1 sin θ2c1 c2

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structural viscosity
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