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We theoretically study the propagation of large-wavevector waves (volumeplasmon polaritons) in multilayer hyperbolic metamaterials with two levels ofstructuring. We show that when the parameters of a subwavelengthmetal-dielectric multilayer ("substructure") are modulated ("superstructured")on a larger, wavelength scale, the propagation of volume plasmon polaritons inthe resulting multiscale hyperbolic metamaterials is subject to photonic bandgap phenomena. A great degree of control over such plasmons can be exerted byvarying the superstructure geometry. When this geometry is periodic, stop bandsdue to Bragg reflection form within the volume plasmonic band. When a cavitylayer is introduced in an otherwise periodic superstructure, resonance peaks ofthe Fabry-Perot nature are present within the stop bands. More complicatedsuperstructure geometries are also considered. For example, fractal Cantor-likemultiscale metamaterials are found to exhibit characteristic self-similarspectral signatures in the volume plasmonic band. Multiscale hyperbolicmetamaterials are shown to be a promising platform for large-wavevector bulkplasmonic waves, whether they are considered for use as a new kind ofinformation carrier or for far-field subwavelength imaging.

Photonic band-gap engineering for volume plasmon polaritons in multiscale multilayer hyperbolic metamaterials