Non-axisymmetric, horn-free phase plug (70) including a compression member (2) such that a central axis (93) defined perpendicular thereto is not a symmetry axis for the phase plug (70). The phase plug (70) includes interior or exterior acoustic waveguides (120) extending from the compression member (2) to a phase plug tip (84) arranged opposite to the compression member (2), wherein the guide (120) is non-axisymmetric to the central axis (93). The phase plug (70) is accommodated in a housing possibly made of two detachable parts.