  We show that the increasingly popular nonlinear optical technique of
time-domain coherent anti-Stokes Raman scattering (CARS), which is usually
understood in terms of the semiclassical time-dependent third-order
polarization, can be equally explained in terms of the time-delayed version of
the Yuratich equation so popular in traditional frequency-domain CARS. The
method brings out the strong dependence of CARS time traces and time-delayed
CARS lineshapes on the spectral envelope of the probe laser electric field.
Examples are analytically shown for experimental results that are otherwise
treated by means of numerical methods only.
