Abstract
A topology optimization method for phononic crystals is developed for the design of sound barriers, using the level set approach. An optimal shape of periodic inclusions is found by minimizing the norm of transmittance for given incident waves at a frequency. We consider a layered structure which is composed of scatterers arranged periodically in horizontal direction while finite inclusions are distributed in vertical direction. The boundary conditions for the lower and the upper boundary of the unit cell are described by impedance matrices. Through a numerical example, the feasibility of the proposed method is demonstrated.
