The noise induced by the turbulent boundary layer pressure fluctuations on hydrophones embedded in an elastomer layer is usually predicted by assuming that the layer is unbounded in the lateral direction and the hydrophone does not influence the stress field [S. H. Ko and H. Schloemer, J. Acoust. Soc. Am.85, 1469–1477 (1989)]. These predictions neglect the flow‐induced noise associated with the edges of the layer as well as the diffraction, reflection, or shadowing of the stress field by the hydrophones. To avoid these limitations, the finite element code ATILA [B. Hamonicet al., J. Acoust. Soc. Am.86, 1245–1253 (1989)] is used to model hydrophones embedded in viscoelastic layers of finite extent. The transfer function of the layer and/or the noise sensed by the hydrophone are computed for a given excitation of the outer surface or of the edges of the layer for different sizes. More complex multilayered structures are also examined. [Work partially supported by the Direction des Recherches Etudes et Techniques.]