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Pol Grasland-Mongrain edited Results_shear_wave.tex
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\section{Results}
Z component maps of the displacements over time are illustrated in Figure \ref{Figure4}, respectively 1, 2, 4, 8 and 12 ms after current emission, as given by the simulation (A), experiment in the PVA phantom (B) and experiment in the chicken breast sample (C). Initial displacements occurs where the Lorentz force has the highest magnitude, on the opposite side of the ultrasound probe, so displacement is not due to probe vibration. Displacements reached an amplitude of 5 $\mu$m in the phantom and 0.5 $\mu$m in the chicken sample. Displacement maps were harder to compute in the chicken breast sample, as electrical conductivity was lower and as speckle was of poorer quality. They propagated as shear waves, whose speed was
4.0 4 m.s$^{-1}$ for the simulation, 4.0$\pm$1.0 m.s$^{-1}$ for the PVA phantom and 3.5$\pm$1.0 m.s$^{-1}$ for the chicken sample along Z axis. It corresponds respectively to a Young's modulus of 48$\pm$12 kPa for the PVA phantom and of 37$\pm$10 kPa for the chicken sample.