We consider layered heterostructures combining ordinary positive indexmaterials and dispersive metamaterials. We show that these structures canexhibit a new type of photonic gap around frequencies where either the magneticpermeability \mu or the electric permittivity \epsilon of the metamaterial iszero. Although the interface of a semi-infinite medium with zero refractiveindex (a condition attained either when \mu= 0 or when \epsilon= 0) is known togive full reflectivity for all incident polarizations, here we show that a gapcorresponding to \mu = 0 occurs only for TE polarized waves, whereas a gapcorresponding to \epsilon = 0 occurs only for TM polarized waves. These bandgaps are scale-length invariant and very robust against disorder, although theymay disappear for the particular case of propagation along the stratificationdirection.
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机译：我们考虑了将普通正折射率材料和色散超材料相结合的分层异质结构。我们显示这些结构可以在超材料的磁导率\ mu或介电常数\ epsilon为零的频率附近展示一种新型的光子隙。尽管已知折射率为零的半无限介质（当\ mu = 0或\ epsilon = 0时达到的条件）的界面对于所有入射偏振都具有全反射率，但在这里我们显示了对应于\ mu = 0的间隙仅对于TE偏振波会发生，而对应于\ epsilon = 0的间隙仅对于TM偏振波会发生。这些带隙是标度长度不变的，并且对于紊乱非常有力，尽管对于沿着分层方向传播的特定情况它们可能会消失。
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