TY - JOUR
T1 - Gap Sensitivity Reveals Universal Behaviors in Optimized Photonic Crystal and Disordered Networks
AU - Klatt, Michael A.
AU - Steinhardt, Paul J.
AU - Torquato, Salvatore
N1 - Funding Information:
We thank G. T. Barkema and N. Mousseau for providing samples of CRNs and the Princeton Institute for Computational Science and Engineering (PICSciE) for the computational resources. This work was partially supported by the Princeton University Innovation Fund for New Ideas in the Natural Sciences. S. T. also gratefully acknowledges the support of the Air Force Office of Scientific Research Program on Mechanics of Multifunctional Materials and Microsystems under Grant No. FA9550-18-1-0514. M. A. K. also acknowledges funding by the Volkswagenstiftung via the Experiment-Projekt Mecke.
Funding Information:
Princeton University Air Force Office of Scientific Research Volkswagen Foundation
Publisher Copyright:
© 2021 American Physical Society
PY - 2021/7/16
Y1 - 2021/7/16
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.127.037401
DO - 10.1103/PhysRevLett.127.037401
M3 - Article
C2 - 34328757
AN - SCOPUS:85110303070
SN - 0031-9007
VL - 127
JO - Physical Review Letters
JF - Physical Review Letters
IS - 3
M1 - 037401
ER -