Band gaps atlas for photonic crystals having the symmetry of the pyrochlore and kagome lattices

TL;DR

This paper introduces a new family of 2D and 3D photonic crystals with kagome and pyrochlore symmetries, demonstrating large and partial band gaps, promising for applications and fundamental research.

Contribution

It reports the design and analysis of photonic crystals with specific lattice symmetries exhibiting significant band gaps, advancing the understanding of their photonic properties.

Findings

Large complete 3D photonic band gaps identified.

Enormous partial gaps observed in 2D for certain polarizations.

Feature sizes suitable for fabrication are achieved.

Abstract

A new family of two- and three-dimensional photonic crystals with the symmetry of the kagome and pyrochlore lattices that exhibit interesting photonic band structures are reported. From large complete photonic band gaps in three dimensions to enormous partial gaps in two dimensions for certain polarizations occurring at feature sizes that make these lattice amenable of fabrication, the results described below sure make this new family of photonic crystals very promising for potential applications and very interesting from the fundamental point of view.