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

S. K. Cheung·T. L. Chan·Z. Q. Zhang·C. T. Chan
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Abstract

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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S. K. Cheung, T. L. Chan, Z. Q. Zhang, C. T. Chan. 2005-09-14. Large Photonic Band Gaps in Certain Periodic and Quasi-Periodic Networks in two and three dimensions. https://doi.org/10.1103/physrevb.70.125104

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