A method for measurement or imaging of nonlinear scattering of elastic waves from a region of an object, where a) at least two elastic wave pulse complexes (101, 104; 501, 504) are transmitted towards said region where said pulse complexes are composed of a pulse (103, 106, 107, 109, 111-113; 311, 313, 315; 503, 506, 512, 522) in a high frequency, hereinafter referred to as HF, band and a pulse (102, 105, 108, 110; 312, 314, 316; 401, 402, 411, 412; 502, 505; 511, 521) in a low frequency, hereinafter referred to as LF, band with the same or overlapping beam directions and where the HF pulse is spatially so close to the LF pulse that the HF pulse observes the nonlinear modification of the object by the LF pulse at least for a part of the image depth, and where at least the transmitted LF pulse varies for each transmitted pulse complex in order to nonlinearly manipulate the scatterer elasticity observed by the HF pulse along at least for a part of the image depth, where the LF pulse of a pulse complex can be zero and the LF pulse for at least one pulse complex is nonzero, and where b) received HF signals (604, 606, 609, 610-612; 706) are picked up by transducers (208; 301; 601; 700; 1101; 1201; 1303) from one or both of scattered and transmitted HF components from at least two transmitted pulse complexes, and processing said received HF signals to form measurement or image signals for display, where said processing is characterized in that: c) in the process of forming said measurement or image signals, intermediate HF signals are formed from said received HF signals as said received HF signals, and where said intermediate HF signals are - delay corrected in the fast time, i.e. depth-time, and - pulse distortion corrected in the fast time, so as to form corrected intermediate HF signals from at least two transmitted pulse complexes with differences in the LF pulse, said corrected intermediate HF signals from different pulse complexes are combined to form nonlinear measurement HF signals that represent the object local nonlinear elastic properties, and where said nonlinear measurement HF signals are used for further processing to form measurement or image signals. a) at least two elastic wave pulse complexes (101, 104; 501, 504) are transmitted towards said region where said pulse complexes are composed of a pulse (103, 106, 107, 109, 111-113; 311, 313, 315; 503, 506, 512, 522) in a high frequency, hereinafter referred to as HF, band and a pulse (102, 105, 108, 110; 312, 314, 316; 401, 402, 411, 412; 502, 505; 511, 521) in a low frequency, hereinafter referred to as LF, band with the same or overlapping beam directions and where the HF pulse is spatially so close to the LF pulse that the HF pulse observes the nonlinear modification of the object by the LF pulse at least for a part of the image depth, and where at least the transmitted LF pulse varies for each transmitted pulse complex in order to nonlinearly manipulate the scatterer elasticity observed by the HF pulse along at least for a part of the image depth, where the LF pulse of a pulse complex can be zero and the LF pulse for at least one pulse complex is nonzero, and where b) received HF signals (604, 606, 609, 610-612; 706) are picked up by transducers (208; 301; 601; 700; 1101; 1201; 1303) from one or both of scattered and transmitted HF components from at least two transmitted pulse complexes, and c) in the process of forming said measurement or image signals, intermediate HF signals are formed from said received HF signals as said received HF signals, and where said intermediate HF signals are - delay corrected in the fast time, i.e. depth-time, and - pulse distortion corrected in the fast time, so as to form corrected intermediate HF signals from at least two transmitted pulse complexes with differences in the LF pulse, said corrected intermediate HF signals from different pulse complexes are combined to form nonlinear measurement HF signals that represent the object local nonlinear elastic properties, and where said nonlinear measurement HF signals are used for further processing to form measurement or image signals. - delay corrected in the fast time, i.e. depth-time, and - pulse distortion corrected in the fast time, so as to form corrected intermediate HF signals from at least two transmitted pulse complexes with differences in the LF pulse, said corrected intermediate HF signals from different pulse complexes are combined to form nonlinear measurement HF signals that represent the object local nonlinear elastic properties, and where said nonlinear measurement HF signals are used for further processing to form measurement or image signals.