Blend the tarragon with bread crumbs, salt and pepper, to taste, in a food processor, pulsing in the dill last. Remove and stir in just enough melted butter to create the consistency of wet sand.
Pat the salmon dry and season on all sides with salt and pepper, to taste. Heat 1 tablespoon of butter in a large saute pan and sear the salmon, flesh side down, over medium- high heat, about 2 minutes. Do not crowd pan. Flip and top each fillet with the herb/crumb mixture. Put the pan in the oven and bake until the fish flakes with a fork. About 8 to 12 minutes. Transfer the fish to a platter and serve immediately.