When an end surface of a silica optical fiber and another optical element are to be optically coupled to each other, according to the invention, the optical fiber is treated so that a core of the optical fiber is protruded from a clad of the optical fiber at an end portion of the optical fiber to form a protrusion shaped like a truncated cone or like a cone. On this occasion, the refractive index of the surrounding medium is selected to be in a range of from 1.35 to 1.60. Preferably, the area of the top surface of the truncated cone is not larger than as large as the area of the bottom surface of the truncated cone. Further preferably, the side surface of the core protrusion is inclined at an angle of 30 degrees to 75 degrees, both inclusively, with respect to the central axis of the core.