We develop a rigorous theory to describe coupled multiple nonlinear processes in a single nonlinear multilayer structure using iteration technique and transfer-matrix method. Pump depletion is taken into account. The validity of the theory is confirmed by analyzing coupled third-harmonic generation (CTHG). The CTHG process consists of two processes: second-harmonic generation and sum-frequency generation. These two processes are coupled together when their phase-matching conditions are satisfied simultaneously. The conversion efficiencies of second-harmonic and third-harmonic under various phase-matching conditions are studied numerically. The results demonstrate that our theory can efficiently and accurately deal with the coupled nonlinearity problem. The model can deal with periodic or aperiodic nonlinear structures. Our approach may be helpful in designing nonlinear photonic crystals and quasi-phase-matching structures.

© 2012 Optical Society of America

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