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This study presents the first observation of elastic shear waves generated in soft tissues using a laser beam. In a first set of experiments, we show that a 532 nm, 10 mJ.mm$^{-2}$ 200 mJ  laser beam can induce a displacement in a soft phantom and that this displacement was detectable by an ultrasound scanner using speckle-tracking algorithms. In a second set of experiments, we show that shear waves can be induced by a laser beam in a chicken breast sample. The results shows the feasability of an elastography method using a laser beam as a shear wave source.