Details of the Derivation of the Acoustic Surface Loss Formula

摘要

The purpose of this document is to provide a detailed and self- contained derivation of the high frequency component SL1 of the acoustic surface loss formula for a rough interface of impedance mismatch. We thoroughly examine the existing derivations of SL1, point at their flaws and suggest the corrected form. Much of the report is a technical review in which we critically revisit the fundamentals behind the surface loss formula and cover such aspects as the basics of the Kirchhoff theory, random surfaces and wave scattering from them, large roughness approximation of the diffuse field, and energy flux calculations.