A unified approach to volume and roughness scattering
作者:
Anatoliy N. Ivakin,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1998)
卷期:
Volume 103,
issue 2
页码: 827-837
ISSN:0001-4966
年代: 1998
DOI:10.1121/1.421243
出版商: Acoustical Society of America
数据来源: AIP
摘要:
A unified approach is proposed to study scattering from a fluid medium with irregularities of different types: volume inhomogeneities (spatial fluctuations of the compressibility and density) and roughness of the interfaces. The approach considers the roughness as a volume perturbation of a specific kind near flat (unperturbed) interfaces. It permits a description of the scattering problem on the basis of a unique integral equation with a kernel including both types of irregularities. In the case of small perturbations, the first-order solution of this equation is used to obtain the scattering amplitude and scattering cross section for a stratified randomly inhomogeneous fluid medium with an arbitrary number of rough interfaces. Expressions for the roughness and volume scattering cross section are obtained involving cross-correlation matrixes between the roughness of different interfaces and between the volume fluctuations of different parameters. Also, an example is considered where roughness–volume correlations are important. The results are generalized to the case when the fluid is placed over an arbitrary basement characterized by its own reflection coefficient and scattering amplitude.
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