Control of the Silica Photonic Crystal Fiber Production

Abstract

This paper deals with the problem of optimal control of the drawing process of special silica optical fibers. The research is based on a nonlinear mathematical model of drawing a silica capillary, which is a constituent unit of a photonic crystal fiber. Under well-grounded assumptions, this model is modified and reduced to a linear model. The problem of optimal stabilizing control of the silica capillary drawing is formulated on the basis of such model. An optimality system is written using variational principles. An algorithm for the numerical solution of the optimization system and the results of numerical simulation are proposed.