Green function for wave motion in acoustic media with large randomness

✍ Scribed by G.D. Manolis

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 636 KB
• Volume: 179
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1995.0034

✦ Synopsis

Fundamental solutions, or Green functions, for waves propagating in acoustic media that exhibit random material properties, besides being useful in their own right, also serve as the basic building block for integral equation formulations that can be used for the numerical solution of acoustic wave scattering problems of practical importance. The present work serves as an extension of earlier derivations of boundary integral equation statements based on the perturbation approach by removing the assumption of small fluctuations of key medium properties about their mean values. The solution methodology is to assume time harmonic conditions and employ an orthogonal polynomial series expansion of the Green function. The position-dependent coefficients of this expansion are found through an eigensolution of first order differential equations. Finally, results for a series of representative cases are presented and the sensitivity of the solution to the number of terms employed in the expansion is investigated.