Matrix analysis for layered quasi-phase-matched media considering multiple reflection and pump wave depletion

A new matrix method for the distributed nondepleted pump wave approximation and its extension to include pump wave depletion are proposed for the analysis of optical wave interactions through layered nonlinear media, which takes internal multiple reflections into account and, hence, can lead to a precise analysis for both forward and backward nonlinear interactions. Using this method, several calculation results are presented for difference frequency generation and second-harmonic generation in periodically layered quasi-phase-matched media composed of Al/sub 0.2/Ga/sub 0.8/As and Al/sub 0.38/Ga/sub 0.62/As. In addition, the multiple reflection effect in quasi-phase-matched media is discussed.