Differences in Four-Wave Mixing Efficiency Calculation Methods

This analysis examines the mathematical expressions used for calculating four-wave mixing efficiency, comparing two distinct approaches: one that incorporates the nonlinear phase mismatch factor and another that neglects it. The computational results demonstrate significant differences between these two methodologies. When the nonlinear phase mismatch factor is excluded from the calculation, the derived four-wave mixing efficiency values deviate from those obtained when the factor is properly accounted for. This discrepancy arises because the nonlinear phase mismatch factor substantially influences the final computational outcome. Therefore, accurate four-wave mixing efficiency calculations must comprehensively consider both linear and nonlinear phase mismatch factors. From an implementation perspective, the complete calculation typically involves solving coupled nonlinear differential equations using numerical methods such as the Runge-Kutta algorithm, while simplified approaches may use analytical approximations that ignore higher-order nonlinear terms.