Phase‐Sensitive Engineering of Optical Disordered Materials Using Heterogeneous Networks

ABSTRACT Heterogeneous networks provide a universal framework for extracting subsystem‐level features of a complex system, which are critical in graph coloring, pattern classification, and motif identification. In such networks, distinct groups of nodes and links can be decomposed into different types of multipartite networks, whose nodes are partitioned into disjoint sets with edges permitted only across these sets. In optics, this decomposition motivates a network‐based analysis of multiphase optical materials by introducing multipartite networks to model intra‐ and inter‐phase electromagnetic interactions. Here, we develop heterogeneous network modeling of wave scattering to engineer multiphase random heterogeneous materials. We devise multipartite network decomposition determined by material phases, which is examined using uni‐ and bi‐partite network examples for two‐phase multiparticle systems embedded in a host medium. We show that the directionality of the bipartite network governs the phase‐sensitive alteration of microstructures. The proposed modeling enables a network‐based design to achieve phase‐sensitive microstructural features, while almost preserving the overall scattering response. With examples of designing quasi‐isoscattering stealthy hyperuniform materials, our results provide a recipe for engineering multiphase materials for wave functionalities.