Step 1Combine the shallot, soy sauce, sesame oil, Dijon, Sherry and brown sugar in a small bowl. Evenly coat all sides of the filets with the mixture.
Step 2Combine the white and black sesame seeds in a bowl and dredge the salmon through the seeds to completely coat.
Step 3Heat the olive oil in a large, heavy oven-proof skillet. When the oil is hot, place the salmon skin side up in the pan. Cook the filets until the sesame seeds are golden brown, 2 to 3 minutes. Turn the salmon over, then place the skillet in the oven. Bake the salmon until it feels firm to the touch, another 5 to 7 minutes, depending on the thickness of the filets and your preference for doneness.