Sewage smell from kitchen sink area
Your undersink setup is quite unusual. 
Normally you wouldn't see three independent P-traps.

What's happening is that as your dishwasher drains its siphoning water out of the other traps. This allows sewer gasses to rise through the sink drains.

To correct this, have your undersink area replumbed to have only one P-trap with the other drain sources connecting before the single trap. For your dishwasher this is quite simple because your garbage disposal has a nipple where your can attach the dishwasher drain hose. This has two main benefits. The first is that it shares a P-trap as discussed. The second is that any solids end up first in the disposal, rather than directly down the drain. There is a plastic plug in the nipple that would have to be removed before using it.

It's likely that you code forbids you from connecting the dishwasher directly to the disposal without the use of an air gap. An air gap installs at the sink above the counter and, among other things, prevents backpressure on the waste line.