The THG spectrum chi(3)(omega) of trans-polyacetylene has two peaks at
0.6 and 0.9eV. While the first peak is unanimously understood to orig
inate from the three-photon resonance across the energy gap, how to in
terpret the second peak is a controversial issue. Both the single-part
icle and correlated electron theories show that the two-photon resonan
ce can give the second peak, but its position is higher than 0.9eV. A
phenomenological consideration indicates that the excitation-dependent
damping shifts the second. peak to the lower energy. This paper prese
nts a microscopic theory of the excitation-dependent damping, from whi
ch the THG spectrum chi(3)(omega) can be calculated and agrees quantit
atively with the experimental data.