A nonlinear optical processor that is capable of true real-time conversion
of spatial-domain images to ultrafast time-domain optical waveforms is pres
ented. The method is based on four-wave mixing between the optical waves of
spectrally decomposed ultrashort pulses and spatially Fourier-transformed
quasi-monochromatic images. To achieve efficient wave mixing at a femtoseco
nd rate we utilize a cascaded second-order nonlinearity arrangement in a be
ta-barium berate crystal with type II phase matching. We use this ultrafast
technique to experimentally generate several complex-amplitude temporal wa
veforms, with efficiency as high as 10%, by virtue of the cascaded nonlinea
rity arrangement. (C) 1999 Optical Society of America.