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I hear what you are saying, but I was thinking that having the baffle out at the end means that the smallest opening is at the very end, rather than taking advantage of the larger diameter opening... ya know? 
The way that all works, is that with a large chamber to store the exhaust pulse and a relatively small outlet, the sound pulse comes out the end slowly and quietly. If the pipe were large enough and the outlet small enough, you would get a steady, even flow of air out the end that would be nearly totally silent. Think of pipes with a small expansion chamber and large opening as banging a board with a hammer and large pipes with a small opening at the far end as applying the same amount of force to the board in a long steady push.
Let's hope there's intelligent life somewhere in space 'cause it's buggar all down here. -- Monte Python
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