deletions | additions       diff --git a/The_sample_was_then.tex b/The_sample_was_then.tex  index bfddc22..fdba9a9 100644  --- a/The_sample_was_then.tex  +++ b/The_sample_was_then.tex 
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The sample was then replaced by a similar phantom except that cellulose particles were used instead of graphite particles: thus, the phantom presented a weak optical absorption but a comparable speckle pattern. A black disk of variable diameter was painted on a surface of the phantom at the laser beam impact location, to control the absorption area. The amplitude of the induced shear waves versus black disk diameter in the second phantom is illustrated in Fig. \ref{Figure4}-(B). We observe a linear relationship between shear wave amplitude and black disk diameter, with a correlation coefficient of 0.9281. We also In both series of experiments (20 plus 23 measurements), we  measured shear wave frequency of 500 $\pm$ 100 Hz over the 23 experiments. % The resulting shear waves have same propagation pattern as in the first phantom, meaning that most of the energy was absorbed in the first hundreds of micrometers (thickness of the black paint) in both cases.  %Two other parameters have been investigated, and showed no correlation: (1) correlation coefficient between shear wave wavelength and diameter of the black paint is 0.27, and between shear wave speed and diameter is 0.089. These results were expected, as shear wave wavelength depends primarily on thermal conductivity value of the medium, and shear wave speed on shear modulus of the medium, which were constant parameters in these experiments.  The potential application of these results on a biological tissue was finally studied. The phantom was replaced by a chicken breast sample bought in the local grocery. Due to the absence of absorbing material like melanin or haemoglobin, the laser was diffused in a large area with a very small increase of temperature and couldn't induce elastic waves. Accordingly, a 5 mm diameter black disk was painted on the surface of the sample at the laser beam impact location. Hz.  The potential application of these results on a biological tissue was finally studied. The phantom was replaced by a chicken breast sample bought in the local grocery. Due to the absence of absorbing material like melanin or haemoglobin, the laser was diffused in a large area with a very small increase of temperature and could not induce elastic waves. Accordingly, a 5 mm diameter black disk was painted on the surface of the sample at the laser beam impact location.  Displacement amplitude maps along Y axis and Z axis 0.8, 1.6, 2.4, 3.2 and 4.0 ms after laser emission in the biological tissue are illustrated in Figure \ref{Figure5}. Shear waves propagated at a velocity of 5.5$\pm$.5 m.s$^{-1}$. It corresponds to a shear modulus of 30$\pm$5 kPa, which is a typical value for a relaxed muscle tissue \cite{sarvazyan1998shear}. The pattern is moreover very similar to the one presented in Figure \ref{Figure2}, suggesting similar involved phenomena. We found, again, a shear wave frequency of 500 $\pm$ 50 Hz. 
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