The present study attempts to demonstrate the essential role of transverse waves in the propagation of a detonation by eliminating them. A cellular detonation was generated in a smooth tube and propagated through a short section where an acoustic absorbing material was lined on the tube wall. The absorbing material consisted of a metallic grid rolled up several times to vary its thickness. The influence of grid parameters on the propagation of the detonation downstream of the grid was analyzed for a series of fuel-oxygen mixtures, at various initial pressures, in tubes of different diameters.Streak records enabled the evolution of the detonation wave to be observed and the velocity to be measured over a field of view upstream and downstream of the grid. The patterns drawn on downstream smoked foils could confirm the presence or disappearance of transverse waves at the exit of the grid section. The reflected pressure from the grid layers was compared to that from a rigid wall, via pressure transducers.If only initial pressure is varied for a given mixture, there exists a very distinct critical pressure below which the detonation suffers a total lack of cellular structure downstream of the grid and an abrupt drop in velocity of 40% -60% of the upstream near the