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Dielectric photonic crystal as medium with negative electric permittivity and magnetic permeability

机译：具有介电常数和磁导率负的介电光子晶体

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摘要

We show that the two-dimensional photonic crystal (PC) made from a non-magnetic dielectric is a left-handed material in the sense defined by Veselago. Namely, it has negative values for both the electric permittivity ∈ and the magnetic permeability μ in some frequency range. This follows from a recently proven general theorem. The negative values of ∈ and μ are found by a numerical simulation. Using values |∈| and |μ| for the medium surrounding the PC slab we simulate the Veselago lens, a unique optical device predicted by Veselago. An approximate analytical theory is proposed to calculate the values of ∈ and μ from the PC band structure. It gives the results that are close to those obtained by the numerical simulation. The theory explains how a non-zero magnetization arises in a non-magnetic PC.
机译：我们显示，由非磁性电介质制成的二维光子晶体（PC）是Veselago定义的左手材料。即，在某个频率范围内，对于介电常数ε和导磁率μ，均为负值。这是根据最近证明的一般性定理得出的。 ε和μ的负值通过数值模拟找到。使用值|∈|和|μ|对于PC平板周围的介质，我们模拟Veselago透镜，这是Veselago预测的独特光学设备。提出了一种近似分析理论，根据PC带结构来计算ε和μ的值。它给出的结果接近于通过数值模拟获得的结果。该理论解释了在非磁性PC中如何产生非零磁化强度。

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