Joints for doors with glass?

I have been building furniture for a few years and have done a fair number of doors with flat panels and raised panels but just finished the doors for a medicine cabinet that will house mirrors, my first crack at anything with glass. In looking at the finished product, I have no doubt that the frames will carry the light weight of the mirrors but question whether it would carry heavier glass panels. I used a tenon and groove cut on the table saw and rabbeted the back for the mirrors. My question; is there a better joint to use when one is creating a door that will house a glass panel? I have a job coming up for our pastor, to build a cabinet for his extensive stereo equipment collection. He wants glass panels in the doors and I want to make sure I provide a strong door to support the glass. I am largely self taught, from watching Norm and studying books and magazines and have not come up against this before. Thanks in advance.

Mart