  We present an ultrafast coherent spectroscopy data acquisition scheme that
samples slices of the time domain used in multidimensional coherent
spectroscopy to achieve faster data collection than full spectra. We derive
analytical expressions for resonance lineshapes using this technique that
completely separate homogeneous and inhomogeneous broadening contributions into
separate projected lineshapes for arbitrary inhomogeneous broadening. These
lineshape expressions are also valid for slices taken from full
multidimensional spectra and allow direct measurement of the parameters
contributing to the lineshapes in those spectra as well as our own.
