<title>Optimal control of all-optical communication soliton systems</title>

Abstract

Space, time and polarization photonic switching process in nonlinear Kerr-like media is described by the system of coupled nonlinear Schrodinger equations. New analytical solutions to these equations were obtained by means of modification of inverse scattering transform (IST) method. Matrix modification of the IST method is used to solve the problem of two-frequency spatial and temporal solitons. Some 'soliton spectral flashes' at sum and difference frequencies are discovered. It is shown that if the nearest sum and difference frequencies lie in the transmission region then bit-rate capability of optical fiber soliton information superhighways can be increased. When soliton pulses propagate in the optical fiber with loss and inserted optical amplifiers, the main difficulty is that after amplification the soliton lose their ideal soliton shape and nonsoliton radiation appears. A topic of particular interest is the development of the methods of the theory of optimal control of distributed media for the nonlinear equations solvable by the IST method. Novel ideas and results obtained in this paper include distributed optimal control formulation of the IST method. Obtained solution to the problem describe the amplification of the solitons by the optimal manner without formation of nonsoliton radiation.© (1996) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.