Parameters for efficient growth of second harmonic field in nonlinear photonic crystals

• Ultrashort pulse propagation in one-dimensional nonlinear photonic crystal.
• Optimized parameters for high second harmonic generation conversion efficiency.
• Phase matching using double resonance condition.
• Unique set of material combination GaInP/InAlP selected.
• Sensitiveness of conversion efficiency with the obtained parameters.

The ultrashort pulse propagation and nonlinear second harmonic generation under the undepleted pump approximation in a quadratic nonlinear photonic crystal (NPC) structure is theoretically investigated and the optimized parameters for high second harmonic generation conversion efficiency are extracted. The transfer matrix method is used for the numerical formulation for oblique angle of incidence. A unique set of material combination GaInP/InAlP is selected as alternating nonlinear and linear layers. The NPC parameters like incident angle and layer thickness are manipulated to obtain the exact phase matching using double resonance condition for a fixed number of layers with known experimental material parameters.