Blend all the ingredients except the salmon (and the sesame oil) until smooth, pour into a bag, add the salmon, toss to coat, squeeze out the air and marinate in the fridge for 30 minutes to 4 hours at most.
Take the fish out of the marinade and pat dry with kitchen paper; brush all sides with sesame oil.
Heat a grill or griddle pan until very hot.
Put the salmon on skin side up and cook for 3-5 minutes per side (turn 90 degrees halfway for nice marks).
Rest on a plate under foil for 5 minutes and serve with rice.