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Designer disordered materials with large, complete photonic band gaps

Designer disordered materials with large, complete photonic band gaps
Designer disordered materials with large, complete photonic band gaps
We present designs of 2D, isotropic, disordered, photonic materials of arbitrary size with complete band gaps blocking all directions and polarizations. The designs with the largest band gaps are obtained by a constrained optimization method that starts from a hyperuniform disordered point pattern, an array of points whose number variance within a spherical sampling window grows more slowly than the volume. We argue that hyperuniformity, combined with uniform local topology and short-range geometric order, can explain how complete photonic band gaps are possible without long-range translational order. We note the ramifications for electronic and phononic band gaps in disordered materials.
0027-8424
20658-20663
Florescu, Marian
14b7415d-9dc6-4ebe-a125-289e47648c65
Torquato, Salvatore
55a42684-9a08-48fd-8720-a5f433de1d19
Steinhardt, Paul J.
b5b5a024-4643-4446-9211-7587abc1c059
Florescu, Marian
14b7415d-9dc6-4ebe-a125-289e47648c65
Torquato, Salvatore
55a42684-9a08-48fd-8720-a5f433de1d19
Steinhardt, Paul J.
b5b5a024-4643-4446-9211-7587abc1c059

Florescu, Marian, Torquato, Salvatore and Steinhardt, Paul J. (2009) Designer disordered materials with large, complete photonic band gaps. Proceedings of the National Academy of Sciences, 106 (49), 20658-20663. (doi:10.1073/pnas.0907744106).

Record type: Article

Abstract

We present designs of 2D, isotropic, disordered, photonic materials of arbitrary size with complete band gaps blocking all directions and polarizations. The designs with the largest band gaps are obtained by a constrained optimization method that starts from a hyperuniform disordered point pattern, an array of points whose number variance within a spherical sampling window grows more slowly than the volume. We argue that hyperuniformity, combined with uniform local topology and short-range geometric order, can explain how complete photonic band gaps are possible without long-range translational order. We note the ramifications for electronic and phononic band gaps in disordered materials.

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Published date: 1 December 2009

Identifiers

Local EPrints ID: 501206
URI: http://eprints.soton.ac.uk/id/eprint/501206
ISSN: 0027-8424
PURE UUID: a8c98e5b-a785-4125-b448-49d30cf2c918
ORCID for Marian Florescu: ORCID iD orcid.org/0000-0001-6278-9164

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Date deposited: 27 May 2025 17:20
Last modified: 22 Aug 2025 02:46

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Contributors

Author: Marian Florescu ORCID iD
Author: Salvatore Torquato
Author: Paul J. Steinhardt

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