Efficient Inverse Design of Acoustic Metamaterials Using Gradient-Based Optimization

Abstract This work presents an efficient implementation of the inverse design of acoustic metamaterials using the gradient-based optimization (GBO) method. The inverse design is based on an optimization process using the semi-analytical optimization approach by adjusting the radius and position of each scatterer in the non-uniform planar configuration of scatterers of various radii. As an illustration of the method, the application of the GBO method for the design of an acoustic lens is demonstrated. The proposed inverse design method is implemented utilizing the GBO algorithms, such as the sequential quadratic programming (SQP) algorithms and the Julia programming language, which is suitable for large-scale simulations and optimization problems. Jointly they create a synergy that enhances the optimization process. The results are compared against computations performed on MATLAB using the f mincon solver with the SQP algorithms. This paper will present numerical examples of sound localization using random and symmetric non-uniform planar configurations of cylindrical rigid scatterers submerged in water.