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We have theoretically investigated a general function photonic crystals(GFPCs) with defect layer, and choose the line refractive index function fortwo mediums $A$ and $B$, and analyze the effect of defect layer's position,refractive indexes and period numbers on the transmission intensity and theelectric field distribution. We obtain some new characters that are differentfrom the conventional PCs, which should be helpful in the design of photoniccrystals.

The effect of defect layer on transmissivity and light field distribution in general function photonic crystals