Nonlinear phenomena in AFM arrays

Cantilever arrays offer a promising alternative to standard single cantilever atomic force microscopy (AFM) imaging techniques. The successful implementation and operation of such an AFM array, however, is determined by the collective, nonlinear dynamics of the array. There exists two key parameters that influence the AFM array response, namely the mechanical coupling strength and nonlinear interaction forces. We present a mathematical model of a coupled array of cantilevers subjected to nonlinear force interactions and demonstrate how changes in modal response can be used to enhance the sensitivity of AFM technology