Large Photonic Band Gaps in Certain Periodic and Quasi-Periodic Networks in two and three dimensions

Details Large Photonic Band Gaps in Certain Periodic and Quasi-Periodic Networks in two and three dimensions Large Photonic Band Gaps in Certain Periodic and Quasi-Periodic Networks in two and three dimensions

2005-09-14

arxiv.org/abs/cond-mat/0509379v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 10 figures and 1 table. Published in Phys. Rev. B, 70, 125104 (2004)

Scientific paper

10.1103/PhysRevB.70.125104

The photonic band structures in certain two- and three-dimensional periodic networks made of one-dimensional waveguides are studied by using the Floquet-Bloch theorem. We find that photonic band gaps exist only in those structures where the fundamental loop exhibits anti-resonant transmission. This is also true for quasi-periodic networks in two and three dimensions, where the photonic band structures are calculated from the spectra of total transmission arising from a source inside the samples. In all the cases we have studied, it is also found that the gap positions in a network are dictated by the frequencies at which the anti-resonance occurs.

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