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We develop a full theoretical analysis of the nonlinear interactions of thetwo polarizations of a waveguide by means of a vectorial model of pulsepropagation which applies to high index subwavelength waveguides. In suchwaveguides there is an anisotropy in the nonlinear behavior of the twopolarizations that originates entirely from the waveguide structure, and leadsto switching properties. We determine the stability properties of the steadystate solutions by means of a Lagrangian formulation. We find all staticsolutions of the nonlinear system, including those that are periodic withrespect to the optical fiber length as well as nonperiodic soliton solutions,and analyze these solutions by means of a Hamiltonian formulation. We discussin particular the switching solutions which lie near the unstable steadystates, since they lead to self-polarization flipping which can in principle beemployed to construct fast optical switches and optical logic gates.

Full vectorial analysis of polarization effects in optical nanowires