If you are just a little short on power a great and cheap upgrade is called the "big three". The idea is that you ran this really big wire(0/1, 4, or 8 awg I'm assuming) all the way to your amp, but if the rest of the circuit (grounds, etc.) are still stock, than there is still a lot of resistance in the circuit. The "Big Three" replaces the three major power cables in your car:
-The alternator positive to battery positive
-The battery negative to ground
-The alternator negative to ground(this wire usually runs from some part of your engine to the ground, as the alternator's outside case is the negative, and is connected to the engine.)
To get any benefit you should use at least 4 awg for all three, and use 0/1 if you plan on adding a lot more power later. also make sure the ground from your amp is at least the same size as the amps power cable.
I just finished this upgrade because I am about to install 2 amps, and
this write up seemed like the best one I could find.
One other way to reduce dimming can be a capacitor. There is a lot of argument about whether caps really help or not, but most agree that they will help with regulator lag. If it takes a split second for your alt to make more power during a loud low note, than the capacitor can cover the power needs until the alt kicks in. I'm pretty sure that this isn't a problem with all alternators however, and a cap won't help with any major power shortcomings.
A capacitor of decent size can be upwards of 100$, but the wire for the big three should only cost 10-20$, plus a few dollars for ring terminals. I would upgrade this first, then see if you need any further upgrades. Also, see if you could install it yourself based off that guide, because if you payed for instillation the price would jump a lot. Good Luck.