A method for measuring a non-linear response from a target using an imaging apparatus includes transmitting a signal towards a region of interest from a transducer at a first amplitude and measuring a first response thereto, and transmitting, from the transducer towards the region of interest, at least one additional signal of the same phase as the first amplitude signal but at one or more different, lower amplitudes and measuring at least one additional response thereto. A difference of a function of the measured additional response or responses from the first response is determined, thereby obtaining a non-linear response of the object of interest, and a representation of the non-linear response is displayed.