Abstract
With plane-wave expansion and the Green function method, the second harmonic generation in a two-dimensional metal photonic band gap (PBG) material is studied theoretically. By appropriately selecting the structural parameters of the PBG material, the wave vectors of the fundamental and the second harmonics can be set at the edges of the PBG. In this case, the second harmonic can be realized efficiently due to metal surface nonlinearity. The discussion can be generalized to three-dimensional systems.
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