Title

Three-Dimensional Photonic Crystals By Holographic Lithography Using The Umbrella Configuration: Symmetries And Complete Photonic Band Gaps [28]

Abstract

We present a detailed study of the crystallographic symmetries and band structures of three-dimensional photonic crystals that are amenable to nanofabrication through holographic lithography. For the experimentally preferable umbrella geometry, we identify realistic parameters that lead to structures with complete three-dimensional photonic band gaps. We find a solution, for which the photonic crystals have rhombohedral point symmetry. This solution is a member of the same space group as the celebrated Yablonovite structure and has a similar crystallographic motif. We find a complete photonic band gap with a gap/midgap ratio of 5.8% between the second and third band after silicon inversion at 38% silicon filling fraction. In addition, we identify parameter combinations for which the optimized interference contrast is as large as a factor of 10, rendering the fabrication of this structure possible.

Publication Date

10-1-2004

Publication Title

Physical Review B - Condensed Matter and Materials Physics

Volume

70

Issue

16

Number of Pages

1-10

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1103/PhysRevB.70.165104

Socpus ID

11244327735 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/11244327735

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