  We propose a classical optical interferometry scheme that reproduces
dispersion-insensitive Hong-Ou-Mandel interferograms. The interferometric
scheme is derived from a systematic method based on the time-reversal symmetry
of quantum mechanics. The scheme uses a time-reversed version of a
Hong-Ou-Mandel interferometer with pairs of orthogonally polarized input laser
pulses. We experimentally demonstrate automatic dispersion cancellation using
the interferometry. The results show that the interferometer can obtain
high-visibility interferograms with high signal conversion efficiency.
