  We present frequency tuning mechanisms for dielectric resonators, which
undergo "super-mode" interactions as they tune. The tunable schemes are based
on dielectric materials strategically placed inside traditional cylindrical
resonant cavities, necessarily operating in Transverse Magnetic modes for use
in axion haloscopes. The first technique is based on multiple dielectric disks
with radii smaller than that of the cavity. The second scheme relies on hollow
dielectric cylinders similar to a Bragg resonator, but of different location
and dimension. In particular we engineer a significant increase in form factor
for the TM030 mode utilising a variation of a Distributed Bragg Reflector
Resonator. Additionally, we demonstrate application of traditional Distributed
Bragg Reflectors in TM modes, which may be applied to a haloscope. This is the
first demonstration of Bragg resonators applied to TM modes, as well as the
first application of super-modes to tune Bragg resonators, or haloscope
resonators. Theory and experimental results are presented showing an increase
in Q-factor and tunability due to the super-mode effect. The TM030 ring
resonator mode offers between 1 and 2-orders-of-magnitude improvement in axion
sensitivity over current conventional cavity systems and will be employed in
the forthcoming ORGAN experiment.
