Second harmonic generation at oblique angles in photonic bandgap structures

Second harmonic generation generated by an obliquely incident fundamental wave in a nonlinear photonic bandgap structure is analyzed by applying the transfer matrix method, where multiple reflection and interference effects are taken into account. The radiation of fundamental and second harmonic waves from the exit plane of the nonlinear photonic bandgap structure, and the distribution of the fields within the structure are discussed. Under the non-depleted pump wave assumption, the conversion efficiency of the second harmonic wave versus the incident angle of the fundamental is studied in detail.

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