Some novel new resonator designs based on the distributed Bragg reflector a
re presented. The resonators implement a TE011 resonance in a cylindrical s
apphire dielectric, which is confined by the addition of rutile and sapphir
e dielectric reflectors at the end faces. Finite element calculations are u
tilized to optimize the dimensions to obtain the highest Q-factors and zero
frequency-temperature coefficient for a resonator operating near 0 degrees
C. We show that a Q-factor of 70,000 and 65,000 can be achieved with and wi
thout the condition of zero frequency-temperature coefficients, respectivel
y.