Two-scale expansion of wave propagation in a random medium

✍ Scribed by Joseph Gozani

• Publisher: Elsevier Science
• Year: 1991
• Tongue: English
• Weight: 278 KB
• Volume: 65
• Category: Article
• ISSN: 0010-4655
• DOI: 10.1016/0010-4655(91)90162-e

✦ Synopsis

This paper presents an innovative technique for performing partial inversion of the operator of a wide class of transport-like equations encountered in mathematical physics. This inversion is an alternative to the traditional selective summation technique of the iterated series solution to a corresponding Volterra integral equation. Comparing with the regular iterated series for which the zero-order iterate is the worst approximation, it was computationally found that our zero-order term has an exact high-frequency and acceptable low-frequency content. It is suggested that the first iteration that reflects a single scattering event will compensate for the inaccuracy in the low-frequency region. Thus two terms in the series will be a sufficient approximation for practical purposes, eliminating the need for higher iterations.