Abstract: An optical waveguide device has a casing, a base member housed in the casing, at least one input optical fiber cable and at least one output optical fiber cable which are introduced into the casing, an optical waveguide substrate mounted on the base member and connected to respective ends of the input and output optical fiber cables for transmitting a light signal from the input optical fiber cable to the output optical fiber cable, support bases and holders fixed to the base member for holding end portions of the input and output optical fiber cables on the base member, and a bushing or bushings in the casing for introducing the input and output optical fiber cables into the casing. The optical waveguide substrate has an optical waveguide branched into a plurality of waveguide paths, and input and output optical fiber cables are coupled to each other through the optical waveguide.

Abstract: A spherical surface of the workpiece is machined, i.e., abraded or polished, with an abrasive particle layer on a tubular jig. The tubular jig is rotatable about a first axis, and has a through passage extending along the first axis and having a tapered surface on the peripheral edge of an outlet, the tapered surface spreading outwardly. The tubular jig is rotated about the first axis, and a fluid lubricant-coolant containing suspended abrasive particles is supplied into the through passage, so that a highly packed flowing layer of abrasive particles is produced on and along the tapered surface under centrifugal forces generated by the rotation of the tubular jig. Then, the spherical surface of the workpiece, which is rotating about a second axis at a predetermined angle with respect to the first axis, is pressed against the flowing layer of abrasive particles.