SOLUTION TO FULL COUPLED WAVE-EQUATIONS OF NONLINEAR COUPLED SYSTEMS

The full coupled two-mode equations of a nonlinear coupler are solved. A slightly more accurate analytical description of the coupling behavior of a nonlinear coupler than the coupled-mode analysis reported earlier is provided. The critical power predicted by the improved coupled-mode analysis, which marks the instability and switching characteristics, is found to be lower than that predicted by the early simplified coupled-mode analysis. This indicates that power lower than that previously predicted is needed for power switching and amplification purposes.