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The last decades witnessed the emergence of the field of correlateddisordered media, a great challenge offering a large panel of new perspectivesfor applications in theoretical modelling and material fabrication. Theefficient design of structures with a controlled level of spatial correlationis a central challenge in this field, in a context where existing techniquesgenerally rely on gradient descent on non-convex functions and on the use ofstochastic methods to explore vast design spaces more efficiently. In thiswork, we propose a new generative technique based on Alan Turing'smorphogenesis theory for designing correlated disordered materials. Inspired bythe structuring of living organisms, this technique relies on the definition ofsimple local interactions guiding the self-organization of a generated medium.The decentralization of design constraints and the elimination of cost functionminimization make this approach natively scalable to the design of largedomains with controlled levels of disorder. As a validation, the morphogeneticgeneration of stealthy hyperuniform disordered structures is exploited toreproduce an experiment of isotropic electromagnetic bandgap synthesis in themicrowave range using a low refractive index contrast.

Morphogenetic Design of Self-Organized Correlated Disordered Electromagnetic Media