Exact and asymptotic solutions of wedge fields for sound propagation modeling using the physical theory of diffraction

摘要

Edge diffractions of sound propagation are relevant to predication of sound propagation over noise barrier, and objects in both urban environment and room-acoustic simulations. The need of developing accurate and cost-effective edge diffraction models has prompted recent investigations on edge diffractions with some progresses on solving multiple-order diffractions of finite wedges. This work explores an alternative approach based on the physical theory of diffraction (PTD). This approach is well suited for solving acoustic scattering problems from reflecting objects for noise prediction and room-simulation purposes. Some widely applied approaches based on the principle of geometrical acoustics are less suitable for geometrical shadow boundaries. The physical theory of diffraction emphasizes the physical principles. One of the important features of this physical acoustics (PA) approach is the ability to calculate the sound field more accurately inside shadow boundaries. This work exploits exact and asymptotic solutions of wedge fields based on the physical theory of diffraction. This paper will discuss implemented results of several canonical cases.