ABSTRACT:The preparation of gradient index polymer optical fiber through a co-extrusion process is analyzed theoretically. The effects of the essential parameters of the system under consideration on the radial distribution of the refractive index (R/) of the optical fiber are examined through numerical simulation. These include the ratio (volume of inner layer/volume of outer layer), the diffusivity and the initial concentration of monomer, the length of diffusion zone, and the mass transfer coefficient of monomer at the outer boundary of the outer layer. We show that these parameters can play a significant role in the design of a co-extrusion process. If they are chosen appropriately, about 80% of an optical fiber can have an approximate parabolic Rl distribution in its radial direction.KEY WORDS Co-Extrusion Process / Optical Fiber Preparation / Mathematical Modeling/ Gradient-index (GI) polymer is one of the most popular materials for optical fiber communication and imaging. 1 -5 Reported results for potential applications of GI polymer optical fiber are ample in the literature. These include, for example, a high bandwidth GI polymer optical fiber, 6 GI polymer optical fiber amplifier with a high gain in the visible region, 7 and GI polymer lens used in fax machines. 8 • 9 It is known that the bandwidth can be maximized if the radial distribution of the refractive index (RJ) of an optical fiber is parabolic. 10 Several efforts have been made to achieve this idealized condition. Perry and Witcher, 11 for instance, proposed a multiple layer co-extrusion process, which is capable of yielding a near parabolic RI distribution. Similar idea was also adopted by other researchers. 9 · 12 -14 Yamamoto et a/., 8 Mishina et a/., 15 · 16 and Mishina et a/., 17 were able to design an extrusion process, which comprises an internal diffusion and surface evaporation operation. Another possible approach is the closed co-extrusion process developed by Ho et al.,12 Chen et a!., 13 and Chen, et a/. 14 It was shown experimentally that this process has the advantage of high reproducibility and high production rate. The mathematical analysis on the closed co-extrusion process was presented recently by Liu et a/. 18 in which the effects of the nature of the reactant mixtures and the operating conditions such as different volume ratios of (inner layer/outer layer), extrusion velocity, and diffusion length on the radial distribution of RI were discussed. It was shown that the radial distribution of RIcan be affected appreciably by these factors. However, achieving an exact parabolic RI distribution for the entire cross section of an optical fiber is impossible. This is because that the outer boundary of the co-extrusion apparatus is impermeable to the diffusing monomers, and the radial distribution of RI becomes flat near the outer boundary of the extruded fiber.In the present study, the analysis of Liu et a/. 18 is extended to the case where a more general condition on the outer boundary of the co-extrusion apparatus is assumed...