A Description Of Scattering Of Light From A Rough Surface And Measurements Of The Surface Topography Of A Metal

The presence of rough surface topography in a prospect frequently constitutes a source of error in seismic mapping and poses the question of what computational methods can be applied by which seismic maps may be freed of the effect of surface relief. Various aspects of the problem are described. The use of a plane datum‐horizon is generally adequate as a solution of the problem. For greater refinement, the structural map may be modified to account for the overburden effect, the approximate magnitude of which is considered. Further modification may be required when lateral variations in subweathering velocity occur. Statistical analysis for determining the degree of conformity between surface topography and mapped structure at depth is useful in gathering data on the influence of surface topography.

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Scattering of light with quartz rough surface covered by thin gold film which has sine wave form

Surface ◽

10.15407/surface.2018.10.037 ◽

2018 ◽

Vol 10(25) ◽

pp. 37-50

Author(s):

V. I. Grigoruk ◽

◽

V. I. Kanevskii ◽

S. A. Kolenov ◽

◽

...

Keyword(s):

Rough Surface ◽

Gold Film ◽

Sine Wave ◽

Wave Form ◽

Thin Gold Film ◽

Scattering Of Light

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Rough surface topography enhances the activation of Wnt/β-catenin signaling in mesenchymal cells

Journal of Biomedical Materials Research Part A ◽

10.1002/jbm.a.32887 ◽

2010 ◽

Vol 95A (3) ◽

pp. 682-690 ◽

Cited By ~ 33

Author(s):

Carlo Galli ◽

Giovanni Passeri ◽

Francesca Ravanetti ◽

Erida Elezi ◽

Mario Pedrazzoni ◽

...

Keyword(s):

Surface Topography ◽

Rough Surface ◽

Mesenchymal Cells

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Role of rough surface topography on gas slip flow in microchannels

Physical Review E ◽

10.1103/physreve.86.016319 ◽

2012 ◽

Vol 86 (1) ◽

Cited By ~ 40

Author(s):

Chengbin Zhang ◽

Yongping Chen ◽

Zilong Deng ◽

Mingheng Shi

Keyword(s):

Surface Topography ◽

Rough Surface ◽

Slip Flow

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Application of Contourlet in Research of Rough Surface Topography

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.542-543.115 ◽

2012 ◽

Vol 542-543 ◽

pp. 115-118

Author(s):

Chao Zhou ◽

Cheng Hui Gao

Keyword(s):

Surface Topography ◽

Rough Surface ◽

Surface Analysis ◽

Signal Analysis ◽

Elementary Theory ◽

Rough Surfaces ◽

Good Method ◽

Two Dimensional ◽

Multi Scale

Since the tribology properties of rough surfaces are closely related to its topography, one of the most important ingredients in tribology research is to find an appropriate tool to analyze and characterize rough surfaces. The elementary theory of contourlet which is a good method for multi-scale and multi-direction signal analysis was introduced and an application of contourlet in rough surface analysis was demonstrated. It was found that contourlet is more sensitive to curved features than general two dimensional wavelets; it is possible to become a new powerful tool for rough surface analysis and characterization.

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Multiscale Model Reduction of the Unsaturated Flow Problem in Heterogeneous Porous Media with Rough Surface Topography

Mathematics ◽

10.3390/math8060904 ◽

2020 ◽

Vol 8 (6) ◽

pp. 904

Author(s):

Denis Spiridonov ◽

Maria Vasilyeva ◽

Eric T. Chung ◽

Yalchin Efendiev ◽

Raghavendra Jana

Keyword(s):

Porous Media ◽

Boundary Conditions ◽

Surface Topography ◽

Rough Surface ◽

Heterogeneous Porous Media ◽

Coarse Grid ◽

Basis Functions ◽

Richards Equation ◽

Small Scale ◽

Fine Grid

In this paper, we consider unsaturated filtration in heterogeneous porous media with rough surface topography. The surface topography plays an important role in determining the flow process and includes multiscale features. The mathematical model is based on the Richards’ equation with three different types of boundary conditions on the surface: Dirichlet, Neumann, and Robin boundary conditions. For coarse-grid discretization, the Generalized Multiscale Finite Element Method (GMsFEM) is used. Multiscale basis functions that incorporate small scale heterogeneities into the basis functions are constructed. To treat rough boundaries, we construct additional basis functions to take into account the influence of boundary conditions on rough surfaces. We present numerical results for two-dimensional and three-dimensional model problems. To verify the obtained results, we calculate relative errors between the multiscale and reference (fine-grid) solutions for different numbers of multiscale basis functions. We obtain a good agreement between fine-grid and coarse-grid solutions.

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