Gap Sensitivity Reveals Universal Behaviors in Optimized Photonic Crystal and Disordered Networks
Klatt M, Steinhardt PJ, Torquato S (2021)
Publication Type: Journal article
Publication year: 2021
Journal
Book Volume: 127
Article Number: 037401
Journal Issue: 3
DOI: 10.1103/PhysRevLett.127.037401
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.
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APA:
Klatt, M., Steinhardt, P.J., & Torquato, S. (2021). Gap Sensitivity Reveals Universal Behaviors in Optimized Photonic Crystal and Disordered Networks. Physical Review Letters, 127(3). https://dx.doi.org/10.1103/PhysRevLett.127.037401
MLA:
Klatt, Michael, Paul J. Steinhardt, and Salvatore Torquato. "Gap Sensitivity Reveals Universal Behaviors in Optimized Photonic Crystal and Disordered Networks." Physical Review Letters 127.3 (2021).
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