Comparison of various approximation theories for randomly rough surface scattering

doi:10.1016/j.wavemoti.2009.03.001

	Comparison of various approximation theories for randomly rough surface scattering
	Hu, ShanZheng; Fu, Li-Yun; Yao, ZhenXing
刊名	WAVE MOTION
	2009-08-01
卷号	46 期号:5 页码:281-292
关键词	Rough surface scattering Approximation methods BEM
ISSN号	0165-2125
DOI	10.1016/j.wavemoti.2009.03.001
文献子类	Article
英文摘要	Comparisons of several approximation solutions to rough surface scattering are conducted for randomly topographies with an analytical description of the scaled wavenumber ka and the scaled rms height h/a (where k is the wavenumber, h is the surface rms height, and a is the surface correlation length). These approximations include the Kirchhoff approximation, Taylor expansion-based perturbation theory, Rytov phase approximation, and Born series method. The regions of validity of the approximation solutions are examined using both Gaussian and exponential roughness surfaces as benchmark models in comparison with the full-waveform numerical simulations obtained by boundary element method. The Kirchhoff approximation is applicable for large-scale roughness components with smooth surfaces under ka > 6 and shares similar variations with the full-waveform solution for other values of ka. Rytov phase approximation improves the Kirchhoff approximation to large-scale roughness components in both amplitude and phase for all values of ka. Perturbation theory is suited for small-scale roughness components under h/a < 0.2 and ka < 1.9, with rough surfaces characterized by short-range, small-amplitude fluctuations. The medium-scale roughness components, determined by excluding the roughness regions applicable by both the Kirchhoff approximation and perturbation theory, can be generally studied by the second-order or high-order Born series approximations that account for multiple scattering between surface points. Finally, these approximation methods apply to a topographic profile of the path from the seismic event of June 2, 1990 in the Tibet region by separating its surface roughness into the large-, medium-, and small-scale components satisfied by the ranges of validity of the Kirchhoff approximation, the Born series approximation, and the perturbation method, respectively. (c) 2009 Elsevier B.V. All rights reserved.
WOS关键词	ELASTIC-WAVES ; SEISMIC SCATTERING ; SH-WAVES ; DIFFRACTION ; TOPOGRAPHY ; IRREGULARITIES ; PROPAGATION ; BASIN ; MEDIA ; SLOPE
WOS研究方向	Acoustics ; Mechanics ; Physics
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000267160500001
资助机构	National Basic Research Program (973 Program)(2009CB219403) ; National Basic Research Program (973 Program)(2009CB219403) ; National Basic Research Program (973 Program)(2009CB219403) ; National Basic Research Program (973 Program)(2009CB219403) ; National Basic Research Program (973 Program)(2009CB219403) ; National Basic Research Program (973 Program)(2009CB219403) ; National Basic Research Program (973 Program)(2009CB219403) ; National Basic Research Program (973 Program)(2009CB219403)
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/70616]
专题	中国科学院地质与地球物理研究所
通讯作者	Hu, ShanZheng
作者单位	Chinese Acad Sci, Inst Geol & Geophys, Key Lab Earths Deep Interior, Beijing 100029, Peoples R China
推荐引用方式 GB/T 7714	Hu, ShanZheng,Fu, Li-Yun,Yao, ZhenXing. Comparison of various approximation theories for randomly rough surface scattering[J]. WAVE MOTION,2009,46(5):281-292.
APA	Hu, ShanZheng,Fu, Li-Yun,&Yao, ZhenXing.(2009).Comparison of various approximation theories for randomly rough surface scattering.WAVE MOTION,46(5),281-292.
MLA	Hu, ShanZheng,et al."Comparison of various approximation theories for randomly rough surface scattering".WAVE MOTION 46.5(2009):281-292.