Multiple AlphaComposite Sources?

I’m having a little trouble with the AlphaComposite class in Java’s AWT package. I’m trying to use it as a “lighting” system, where I use radial gradients as sources of light, but I can’t figure out how to make multiple light sources, or, in other words, composite several light sources with the same overlaid translucent black rectangle. If you don’t quite understand what I mean, see the attached picture… it’s of the effect as it is right now in my game.

http://www.darinbeaudreau.com/images/generic-zombie-shooter_57.png

Is there a way to use this class to composite the same rectangle with multiple “light sources”, or do I have to use another method? If so, what method could I use for lighting of a similar effect? I’m using Java2D for my graphics.