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. 2013 Dec 12;26(4):532–569. doi: 10.1002/adma.201303456

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© 2013 The Authors. Published by WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

This is an open access article under the terms of the Creative Commons Attribution-NonCommercial License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited and is not used for commercial purposes.

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(a1) The 2D photonic band diagram of a typical polymeric solid having a permittivity of with embedded air cylinders in a square lattice. The air cylinders have a radius , where is the lattice constant of the structure (inset). The partial PBG for TE-polarization is shown in red for the Γ−X and the Γ−M directions, respectively. (a2) The 2D photonic band diagram of the same structure with a higher permittivity of exhibiting a PBG for TM-polarized waves and for TE-polarized waves. However, since the TE and TM gaps do not overlap, there is no polarization-independent complete gap. (a3) The 2D photonic band diagram in (a2) is folded along the boundary of the irreducible BZ. (b) The phononic band diagram of the same structure with typical polymer solid density of = 1190 kg m⁻³, transverse sound speed = 1800 m/s, and longitudinal sound speed = 3100 m/s, respectively, for in-plane (solid lines) and out-of-plane (dashed lines) elastic waves.

Inline graphic — (a1) The 2D photonic band diagram of a typical polymeric solid having a permittivity of with embedded air cylinders in a square lattice. The air cylinders have a radius , where is the lattice constant of the structure (inset). The partial PBG for TE-polarization is shown in red for the Γ−X and the Γ−M directions, respectively. (a2) The 2D photonic band diagram of the same structure with a higher permittivity of exhibiting a PBG for TM-polarized waves and for TE-polarized waves. However, since the TE and TM gaps do not overlap, there is no polarization-independent complete gap. (a3) The 2D photonic band diagram in (a2) is folded along the boundary of the irreducible BZ. (b) The phononic band diagram of the same structure with typical polymer solid density of = 1190 kg m⁻³, transverse sound speed = 1800 m/s, and longitudinal sound speed = 3100 m/s, respectively, for in-plane (solid lines) and out-of-plane (dashed lines) elastic waves.