Abstract

We demonstrate that a two-dimensional complete photonic band-gap (PBG) can be realized in a layered periodic structure with a double-layer unit cell containing an anisotropic left-handed metamaterial layer. A set of criteria is derived for the geometric and material parameters to realize a two-dimensional complete PBG in such systems, and a detailed phase diagram is given. We discuss the underlying physics of the mechanism and illustrate the complete band-gap effects with several concrete examples.

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