This paper presents an analytical Fourier deconvolution procedure for homod
yne detected electronically non-resonant fifth-order signal that reveals th
e bare nuclear response function free from the influence of the electronic
(hyperpolarizability) responses generated by the five potentially overlappi
ng finite duration pulses used in the experiment. In developing the fifth-o
rder deconvolution procedure, an analogous procedure for homodyne detected
third-order responses is elaborated. The potential implementation problems
with the homodyne deconvolution procedure are evaluated through comparison
of the third-order homodyne deconvolution result with that of the well-know
n third-order heterodyne deconvolution. Then, the homodyne deconvolution is
extended to fifth-order where it is used on several measured tenser elemen
ts of the direct fifth-order signal. Suggestions are given for improving im
plementation of the procedure in fifth order so that more information on th
e direct fifth-order nuclear response as well as the hyperpolarizability re
sponses can be recovered via the deconvolution procedure. (C) 2001 Elsevier
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