  We point out that photon regeneration-experiments that search for the axion,
or axion-like particles, may be resonantly enhanced by employing matched
Fabry-Perot optical cavities encompassing both the axion production and
conversion magnetic field regions. Compared to a simple photon regeneration
experiment, which uses the laser in a single-pass geometry, this technique can
result in a gain in rate of order ${\cal F}^2$, where ${\cal F}$ is the finesse
of the cavities. This gain could feasibly be $10^{(10-12)}$, corresponding to
an improvement in sensitivity in the axion-photon coupling, $g_{a\gamma\gamma}$
, of order ${\cal F}^{1/2} \sim 10^{(2.5-3)}$, permitting a practical purely
laboratory search to probe axion-photon couplings not previously excluded by
stellar evolution limits, or solar axion searches.
