Ultrasonic inspection head system having a transducer arrangement, wherein the transducer arrangement comprises a first, a second and a third transducer (201, 202, 203) for transmitting and receiving sound waves, wherein each of the transducers comprises at least three transducer elements, and wherein the transducer elements of the transducers are each arranged on a circular arc of a virtual circle so that sound waves emitted by the transducer elements of each transducer are overlaid in such a way that they approximate a sector of an elementary wave with a virtual point source, wherein the virtual point source is located at the center of the virtual circle, wherein, in a cross section, the transducer elements of the second transducer are arranged along a straight line which is parallel to the base sides of a virtual trapezoid, wherein the straight line corresponds to a tangent at the center of the circular arc on which the transducer elements of the second transducer are arranged, wherein the transducer elements of the first and the third transducers (201, 203) are arranged along the non-parallel legs of the virtual trapezoid, wherein the legs of the virtual trapezoid each correspond to a tangent at the center of the circular arc on which the transducer elements of the first and the third transducers (201, 203) are arranged, wherein the transducer arrangement is housed in a single inspection head or wherein the transducer arrangement is divided into three inspection heads which each accommodate one of the transducers, wherein the ultrasonic inspection head system has a delay line in the form of an inspection head wedge. wherein the transducer arrangement comprises a first, a second and a third transducer (201, 202, 203) for transmitting and receiving sound waves, wherein each of the transducers comprises at least three transducer elements, and wherein the transducer elements of the transducers are each arranged on a circular arc of a virtual circle so that sound waves emitted by the transducer elements of each transducer are overlaid in such a way that they approximate a sector of an elementary wave with a virtual point source, wherein the virtual point source is located at the center of the virtual circle, wherein, in a cross section, the transducer elements of the second transducer are arranged along a straight line which is parallel to the base sides of a virtual trapezoid, wherein the straight line corresponds to a tangent at the center of the circular arc on which the transducer elements of the second transducer are arranged, wherein the transducer elements of the first and the third transducers (201, 203) are arranged along the non-parallel legs of the virtual trapezoid, wherein the legs of the virtual trapezoid each correspond to a tangent at the center of the circular arc on which the transducer elements of the first and the third transducers (201, 203) are arranged, wherein the transducer arrangement is housed in a single inspection head or wherein the transducer arrangement is divided into three inspection heads which each accommodate one of the transducers, wherein the ultrasonic inspection head system has a delay line in the form of an inspection head wedge.