  We developed a new method for fabricating crystalline whispering gallery mode
cavities based on laser-heated pedestal growth. We fabricated sapphire cavities
and obtained a Q factor of 16000 with a cavity whose diameter was about 240 um.
We showed numerically that the cross-sectional shape of the cavity is sensitive
to the cavity Q, and we controlled it successfully by changing the growth
condition in the molten zone, without significantly degrading the crystal
structure.
