Large angle-insensitive photonic band gap in a one-dimensional photonic hypercrystal in the visible range based on the phase-variation compensation theory

Photonic band gaps (PBGs) in all-dielectric one-dimensional (1-D) photonic crystals strongly shift towards shorter wavelengths as incident angle increases. Such strong blueshift property of PBGs poses a great challenge to achieving large omnidirectional photonic band gaps (OPBGs), wide-angle narrow-band filtering, and wide-angle narrow-band absorbing. Based on the phase-variation compensation theory, we achieve a large angle-insensitive PBG in a 1-D photonic hypercrystal consisting of alternating dielectric and hyperbolic metamaterial layers in the visible range. Different from blueshift PBGs in all-dielectric 1-D photonic crystals, the angle-insensitive PBG demonstrates a superior angle-insensitive property. Empowered by the angle-insensitive property, the width of the OPBG reaches 200.36 nm. Besides, we realize wide-angle absorption based on an angle-insensitive Tamm plasmon polariton in a heterojunction composed of a metal layer, a dielectric spacer layer, and a 1-D photonic hypercrystal. This work would facilitate the development of large OPBGs, wide-angle narrow-band filtering, and wide-angle narrow-band absorbing.