Data-Driven Design Rules for Three-Dimensional Photonic Crystals
Rose K. Cersonsky, Saswat K. Nayak, Seungmin H. Lee
TL;DR
This paper uses data-driven methods to discover new design rules for 3D photonic crystals, focusing on material distribution and connectivity rather than just symmetry.
Contribution
The novel contribution is a data-driven framework that identifies structural and material factors influencing photonic band gaps in non-ideal systems.
Findings
Photonic band gap size is most strongly linked to the volume fraction and connectivity of high-dielectric materials.
Tetrahedral and gyroidal structures maintain band gaps even with symmetry distortions.
Global lattice symmetry has a secondary influence on photonic band gaps.
Abstract
Photonic crystals are crystalline systems composed of multiple materials whose patterning results in the selective reflectance of light. Historically, design principles for three-dimensional photonic crystals have remained limited to how to optimize photonics response, thereby limiting synthetic guidance in non-ideal systems. This work introduces a data-driven approach to uncover such principles; we transform a data set comprising 1,200 crystalline templates (and tens to hundreds of band structures per template) from band structures into photonic densities of states (PDOS), which serve as statistical fingerprints for property-structure analyses. We exploit hybrid supervised–unsupervised dimensionality reduction and clustering to reveal low-dimensional maps of this high-dimensional latent space that capture both structural similarity and gap size, enabling sensitivity analyses across…
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Taxonomy
TopicsPhotonic Crystals and Applications · Metamaterials and Metasurfaces Applications · Optical Coatings and Gratings