  We demonstrate a 13-fold speed improvement in broadband cantilever-enhanced
photoacoustic spectroscopy (CEPAS) by combining it with phase-controlled
Fourier-transform spectroscopy (PC-FTS) instead of traditional
Fourier-transform infrared spectroscopy (FTIR). PC-FTS is a modification of
FTIR and capable of fundamentally faster interferogram acquisitions. The
speed-improvement is beneficial for CEPAS, which is an especially sensitive
version of the background-free photoacoustic spectroscopy technique. We used
the PC-FTS-CEPAS technique to measure the absorption spectrum of methane in the
mid-infrared region (3.3$-$3.5 $\mu$m) with an optical frequency comb as the
light source.
