I want to build a vortex cannon; it fires nothing except a concentrated vortex of air. They exist as cheap novelty toys, like thus:

but I would like to build one that works off of compressed air to fire more powerful charges. Ideally this could be accomplished with a rechargable compressed air canister.
I don't have any details on how I would construct it, but could this even work from a technical standpoint? Would I be able to get enough air pressure to create a vortex of any strength, or is the little plastic toy the best bet for this size?
Bigger and stronger vortexes do exist using bigger barrels, but all that I have seen work on basically the same principle, or use something so large and unwieldy that it seems to defeat the point.