Three-dimensional photonic band gaps in modified simple cubic lattices

2002 ◽  
Vol 65 (20) ◽  
Author(s):  
R. Biswas ◽  
M. M. Sigalas ◽  
K.-M. Ho ◽  
S.-Y. Lin
2019 ◽  
Vol 116 (47) ◽  
pp. 23480-23486 ◽  
Author(s):  
Michael A. Klatt ◽  
Paul J. Steinhardt ◽  
Salvatore Torquato

We show that it is possible to construct foam-based heterostructures with complete photonic band gaps. Three-dimensional foams are promising candidates for the self-organization of large photonic networks with combinations of physical characteristics that may be useful for applications. The largest band gap found is based on 3D Weaire–Phelan foam, a structure that was originally introduced as a solution to the Kelvin problem of finding the 3D tessellation composed of equal-volume cells that has the least surface area. The photonic band gap has a maximal size of 16.9% (at a volume fraction of 21.6% for a dielectric contrast ε=13) and a high degree of isotropy, properties that are advantageous in designing photonic waveguides and circuits. We also present results for 2 other foam-based heterostructures based on Kelvin and C15 foams that have somewhat smaller but still significant band gaps.


1998 ◽  
Vol 10 (4) ◽  
pp. 753-760 ◽  
Author(s):  
Ya-Chih Tsai ◽  
Kenneth W-K Shung ◽  
John B Pendry

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