Best way to deal w harvesters?

I keep dying and losing missions because of them. Their shields are my main issue. I'm having trouble dealing damage to them after their shield is down. I've been using the LAS-98 as my main weapon against them, but they always seem to regenerate shields before I can do much (if any) damage to them.

Is there eye a weak spot? Is there a better way to deal with them without relying on orbital strategems?