A loudspeaker having a front and a rear, comprising: a magnet structure having a frontal part towards the front of the loudspeaker, and a voice coil lying within a magnetic field established by the magnet structure and responsive to electrical signals to undergo excursions from a rest position along an axis of motion, the direction perpendicular to and away from this axis being outwards; a driven body, connected to a voice coil former and moveable to project acoustic waves from the front of the loudspeaker, the driven body having a front towards the front of the loudspeaker; and a suspension for providing a restoring force to the driven body towards the rest position, the suspension extending from a connection point on the driven body to an attachment point on a fixed portion of the loudspeaker; wherein the driven body comprises a diaphragm having a generally flat profile, a rear face extending across the front of the driven body, and a substantially U-shaped support structure extending rearwardly from a connection point with the voice coil former to a connection point with the suspension located rearward of the frontal part of the magnet structure, the support structure comprising a first conical portion extending rearwardly outwardly from the connection point with the voice coil former to the connection point with the suspension and having a front towards the front of the loudspeaker, a transition portion connected to the suspension at the connection point and a second conical portion extending forwardly outwardly from the connection point with the suspension to the diaphragm, the transition portion and the conical portions forming the substantial "U" shape, wherein the diaphragm is connected to the support structure at the connection point with the voice former and wherein there is a space in front of the first conical portion and behind the rear face of the diaphragm. a magnet structure having a frontal part towards the front of the loudspeaker, and a voice coil lying within a magnetic field established by the magnet structure and responsive to electrical signals to undergo excursions from a rest position along an axis of motion, the direction perpendicular to and away from this axis being outwards; a driven body, connected to a voice coil former and moveable to project acoustic waves from the front of the loudspeaker, the driven body having a front towards the front of the loudspeaker; and a suspension for providing a restoring force to the driven body towards the rest position, the suspension extending from a connection point on the driven body to an attachment point on a fixed portion of the loudspeaker; wherein the driven body comprises a diaphragm having a generally flat profile, a rear face extending across the front of the driven body, and a substantially U-shaped support structure extending rearwardly from a connection point with the voice coil former to a connection point with the suspension located rearward of the frontal part of the magnet structure, the support structure comprising a first conical portion extending rearwardly outwardly from the connection point with the voice coil former to the connection point with the suspension and having a front towards the front of the loudspeaker, a transition portion connected to the suspension at the connection point and a second conical portion extending forwardly outwardly from the connection point with the suspension to the diaphragm, the transition portion and the conical portions forming the substantial "U" shape, wherein the diaphragm is connected to the support structure at the connection point with the voice former and wherein there is a space in front of the first conical portion and behind the rear face of the diaphragm.