Three-pulse sequences in the presence of magnetic field gradients at high magnetic fields produce multiple nonlinear stimulated echoes (NOSE) at times n tau(1) after the third pulse, where n is an integer and tau(1) the interval between the first two pulses, These phenomena are due to the demagnetizing field produced by the spatial modulation of the nuclear magnetization arising in the sample after the first two pulses, The theory is presented and compared with experiments. The dependence of the NOSE amplitudes on the flip angles and on the pulse intervals is described, Implications for multidimensional NMR experiments based on sequences of three or more pulses in the presence of field gradients are discussed. (C) 1997 Academic Press.