  The axion is an intriguing dark matter candidate emerging from the
Peccei-Quinn solution to the strong CP problem. Current experimental searches
for axion dark matter focus on the axion mass range below 40 $\mu$eV. However,
if the Peccei-Quinn symmetry is restored after inflation the observed dark
matter density points to an axion mass around 100 $\mu$eV. A new project based
on axion-photon conversion at the transition between different dielectric media
is presented. By using $\sim 80$ dielectric discs, the emitted power could be
enhanced by a factor of $\sim 10^5$ over that from a single mirror (flat dish
antenna). Within a 10 T magnetic field, this could be enough to detect $\sim
100 \mu$eV axions with HEMT linear amplifiers. The design for an experiment is
proposed. Results from noise, transmissivity and reflectivity measurements
obtained in a prototype setup are presented. The expected sensitivity is shown.
