A BEM framework for acoustic field analysis in ultra-thin coating/substrate structures

Abstract

This paper presents an advanced boundary element method (BEM) for high-precision analysis of two-dimensional acoustic fields in ultra-thin coating/substrate structures. The scaled coordinate transformation (SCT) method is first extended to acoustic analysis, enabling stable and efficient evaluation of domain integrals in ultra-thin coating systems without requiring domain discretization. The BEM is applied separately to the ultra-thin coating and substrate, generating boundary integral equations based on material-specific fundamental solutions, with continuity enforced through interface conditions. This BEM framework offers a potential alternative for modeling nanoscale acoustic fields, addressing the limitations in accuracy encountered by traditional numerical approaches. A comprehensive validation is performed by benchmarking against analytical solutions and results obtained by the COMSOL Multiphysics.