A study of the location of the singularities of the reflection coeffic
ient, and the related acoustic fields, at the plane contact surface be
tween a fluid layer and a porous layer, is performed in two cases. In
the first case, the porous layer is thin (the product of the thickness
by the wavenumber is much smaller than one), and the layer is set on
an impervious rigid backing. In a second case, the porous layer is sem
i-infinite. In the first case, one of the poles, predicted after more
approximations, is related to a slightly inhomogeneous wave in air whi
ch has recently been observed by nearfield acoustical holography. In t
he second case, it is shown that the singularity is related to a zero
of the reflection coefficient observable at high frequencies. New resu
lts concerning the location of the pole relative to the steepest integ
ration path can be obtained from a physical model of sound propagation
in the porous medium.