Waveguide Mode Interactions. Coupled Nonlinear Schrödinger Equations
The waveguide modes, specified by a transverse variable profile, propagate with velocity determined by the joint matter–waveguide dispersion. Any nonlinearity will lead to mode interaction, and in the case of wavepackets this will be described approximately by the coupled nonlinear Schrödinger (CNS) equations. The theory and numerical solutions is presented below.