Procedure for the manufacturing of a piezoelectric ceramics radiating surface, of the type that is used in a powerful ultrasound transducer, said transducer being next to an electrical impedance adaptation network, a power amplifier, a signal generator, a control unit, said transducer also comprising an external casing, said piezoelectric ceramics between some electrodes, an absorbent material between the casing and piezoelectric ceramics and an adaptation layer, wherein the piezoelectric ceramics radiating surface U2 is obtained by applying the following procedure: - the three space axes X, Y and Z are determined - a first segment S1 is drawn along axis X between two points A and B, - a second segment S2 parallel to axis Z is drawn, with a length h other than zero, between a middle point M of the first segment S1 and a point C, - a first arch A1 is defined that passes through points A, C and B, - two circumferences are drawn with radius r1 centred in points A and B and in planes parallel to plane YZ, - a circumference is drawn parallel to the previous ones with radius r2, centred in C; - a vector is defined that starts at point M and ends at point C, - a third segment S3 in plane XZ, in the direction of vector MC, is drawn between the point A and point D, being defined by length r1, - a fourth segment S4 in plane XZ, in the direction of vector MC, is drawn between the point A and point E, being defined by length r1 - a fifth segment S5 is in plane XZ, in the direction of vector MC, is drawn between the point C and point F, being defined by length r2, - a second arch A2 is defined that passes through points D, F and E, - a surface U1 is defined made up of all the circumferences parallel to plane YZ centred in the first arch A1 and with one point of the perimeter thereof located in second arch A2, and - first arch A1 is projected in the direction of axis Y on surface U1 producing two projections p1 and p2, - finally surface U2 is cut as required, such that said ceramics radiating surface U2 is defined as part of a surface U1 that contains an arch A2 and is limited by two projections p1 and p2, without necessarily containing them. - the three space axes X, Y and Z are determined - a first segment S1 is drawn along axis X between two points A and B, - a second segment S2 parallel to axis Z is drawn, with a length h other than zero, between a middle point M of the first segment S1 and a point C, - a first arch A1 is defined that passes through points A, C and B, - two circumferences are drawn with radius r1 centred in points A and B and in planes parallel to plane YZ, - a circumference is drawn parallel to the previous ones with radius r2, centred in C; - a vector is defined that starts at point M and ends at point C, - a third segment S3 in plane XZ, in the direction of vector MC, is drawn between the point A and point D, being defined by length r1, - a fourth segment S4 in plane XZ, in the direction of vector MC, is drawn between the point A and point E, being defined by length r1 - a fifth segment S5 is in plane XZ, in the direction of vector MC, is drawn between the point C and point F, being defined by length r2, - a second arch A2 is defined that passes through points D, F and E, - a surface U1 is defined made up of all the circumferences parallel to plane YZ centred in the first arch A1 and with one point of the perimeter thereof located in second arch A2, and - first arch A1 is projected in the direction of axis Y on surface U1 producing two projections p1 and p2, - finally surface U2 is cut as required,