Fiber laser physical parameters estimation from input-output power measurements

The problem of fiber laser parameters estimation from input-output transient power measurements is considered in the paper. The proposed procedure is based on a suitable laser model obtained by simplifying the rate and propagation equations. By proper manipulation of the simplified laser equations, the estimation problem is formulated in the bounded error estimation framework, where a-priori information on physical parameters can be taken into account. A two stage scheme is presented where the first stage requires the solution to a nonconvex optimization problem, while the second stage is formulated as a linear regression problem. A suitable convex relaxation scheme for solving the nonconvex optimization problem is presented, along with a discussion of its convergency properties. The proposed algorithm is tested on a set of simulated data obtained from a commercial laser simulator.