Gap Sensitivity Reveals Universal Behaviors in Optimized Photonic Crystal and Disordered Networks

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Abstract

Through an extensive series of high-precision numerical computations of the optimal complete photonic band gap (PBG) as a function of dielectric contrast for a variety of crystal and disordered heterostructures, we reveal striking universal behaviors of the gap sensitivity , the first derivative of the optimal gap-to-midgap ratio . In particular, for all our crystal networks, takes a universal form that is well approximated by the analytic formula for a 1D quarter-wave stack, . Even more surprisingly, the values of for our disordered networks converge to for sufficiently large . A deeper understanding of the simplicity of this universal behavior may provide fundamental insights about PBG formation and guidance in the design of novel photonic heterostructures.

Original languageEnglish (US)
Article number037401
JournalPhysical review letters
Volume127
Issue number3
DOIs
StatePublished - Jul 16 2021

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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