In a mixing bowl, combine the diced salmon, breadcrumbs, beaten egg, dill, lemon juice, garlic powder, salt, and black pepper. Mix until well combined.

Form the mixture into 4 equal patties.

Preheat the grill to medium-high heat.

Place the salmon patties on the grill and cook for about 4-5 minutes on each side, or until cooked through and golden brown.

If using cheese, add a slice on top of each patty during the last minute of cooking to melt.

Toast the burger buns on the grill for 1-2 minutes.

Assemble the burgers by placing a salmon patty on each bun, then top with lettuce, tomato, and tartar sauce.