Abstract: A relatively small, lightweight muffler is provided, especially adapted to low horsepower aircraft and comprises an elongated, essentially cylindrical structure made up of inner and outer casings having sound-absorbent-material-containing chambers and pressure-wave trap elements to minimize exhaust noises. The rear end of the muffler is in the form of a cone having its apex to the rear and containing a quantity of sound-absorbent material in a rearward part thereof and the conical wall ahead of this material being perforated. One form of the structure has a convex or hemispherical front end for aerodynamic purposes in those cases where the muffler is installed externally of the aircraft. The pressure-wave traps comprise walled structures having louvered slots therein appropriately aimed to direct the pressure waves to the sound-absorbent material.