Morphogenetic Design for Band Gap Engineering

Recently, a new way of forming electromagnetic band gaps with correlated disordered media has attracted a great attention to replace the ones based on photonic crystals. Indeed, due to the cristallinity, applications based on periodic structures have suffered from many fabrication issues. So far, the different protocols proposed to design disordered crystals consist on constrained optimization methods complex to scale to large systems. In this paper, we propose a new method inspired by the morphogenesis for designing correlated disordered materials displaying large electromagnetic band gaps, in the desired frequency range, using a technique that is simple to implement, easily adaptable to large-scale problems and requiring no gradient descent, unlike the optimization techniques usually used in inverse design. This exploratory work may find applications in the synthesis of electromagnetic waveguides and components from the microwave to photonic bands. As an illustration, a freeform waveguide synthesis is presented in this work.