Designer disordered materials with large, complete photonic band gaps

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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.

Original languageEnglish (US)
Pages (from-to)20658-20663
Number of pages6
JournalProceedings of the National Academy of Sciences of the United States of America
Issue number49
StatePublished - Dec 8 2009

All Science Journal Classification (ASJC) codes

  • General


  • Amorphous materials
  • Dielectric heterostructures
  • Disordered structures
  • Electronic band gap


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