In a sauce pan, melt 1/2 cup butter over medium heat. Smash 4 garlic cloves with the flat side of a knife and add to saucepan with 1 tsp salt and 1/4 tsp pepper. Simmer 1 min or until fragrant. Add chopped dill and 2 Tbsp lime juice then immediately remove from heat.

Arrange salmon fillets on a platter skin-side-down and spoon on 1/3 of butter sauce and brush over the tops. Let salmon marinate while preheating grill.

Preheat grill to medium heat (350˚F to 400˚F). Oil the hot grates. Place salmon onto preheated grill, skin-side-up. Cover and grill over medium (350˚F) heat undisturbed, about 3 minutes on the first side.

Carefully flip salmon over (it helps to have a spatula to loosen it and tongs to flip it over), brush on 1/3 of butter sauce then cover and cook another 2 minutes (or according to salmon grilling chart), until internal temperature reaches 140˚F (the temperature will continue to rise to an ideal 145˚F internal temperature off the grill).

Transfer salmon to a platter and drizzle with remaining 1/3 of sauce in saucepan (if butter has hardened, heat on the stovetop just until melted). Garnish with fresh dill and serve with lime wedges to squeeze over salmon.