Effects of Random Link Removal on the Photonic Band Gaps of Honeycomb Networks
Marian Florescu, Salvatore Torquato, and Paul J. Steinhardt

TL;DR
This study investigates how random removal of links affects the photonic band gaps in honeycomb networks, finding that the band gaps are surprisingly resilient even with significant link loss.
Contribution
It demonstrates the robustness of photonic band gaps in honeycomb networks against extensive random link removal, highlighting potential fabrication tolerances.
Findings
Photonic band gaps survive up to 58% link removal.
Band gaps show high resilience to random defects.
Network integrity is maintained despite significant link loss.
Abstract
We explore the effects of random link removal on the photonic band gaps of honeycomb networks. Missing or incomplete links are expected to be common in practical realizations of this class of connected network structures due to unavoidable flaws in the fabrication process. We focus on the collapse of the photonic band gap due to the defects induced by the link removal. We show that the photonic band gap is quite robust against this type of random decimation and survives even when almost 58% of the network links are removed.
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