Mix the soy sauce, honey, ginger, and Worcestershire sauce. Put the marinade into a plastic bag with the salmon filets for an hour or two.
Melt the butter with the olive oil in a cast iron skillet. Add the salmon and marinade to the skillet. Sear the salmon and cook until it is medium rare. The marinade will caramelize into a glaze.
Plate the dish with a bed of arugula, the soy-ginger glaze, and the salmon filet.
Serve with buttered noodles or risotto and a salad or fruit.
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