Wave intensity fluctuations inside a one-dimensional randomly inhomogeneous layer of medium. II

1979 ◽  
Vol 22 (5) ◽  
pp. 406-410
Author(s):  
V. I. Klyatskin
Keyword(s):  
Wave Intensity ◽  
Inhomogeneous Layer ◽  
One Dimensional ◽  
Intensity Fluctuations

scholarly journals Spatial wave intensity correlations in quasi-one-dimensional wires

2006 ◽  
Vol 74 (4) ◽  
Author(s):  
Gabriel Cwilich ◽  
Luis S. Froufe-Pérez ◽  
Juan José Sáenz
Keyword(s):  
Wave Intensity ◽  
One Dimensional

Article

1998 ◽  
Vol 76 (11) ◽  
pp. 1633-1641
Author(s):  
Luc Tremblay ◽  
Serge Lacelle ◽  
Charles G Fry
Keyword(s):  
Porous Media ◽  
Pyrex Glass ◽  
Nmr Imaging ◽  
Porous Network ◽  
Intensity Correlation ◽  
Geometric Means ◽  
Statistical Characterization ◽  
One Dimensional ◽  
Intensity Fluctuations ◽  
The One

A study of the intensity fluctuations in one-dimensional NMR microimaging profiles of imbibed porous Pyrex glass filters is presented. An approach to characterize some aspects of the macroscopic randomness from the NMR microimaging profiles of this porous medium is developed. Statistical properties, such as the arithmetic and geometric means, of the distributions of peak separations between the intensity fluctuations are shown to reveal information about the pore size and the pore-to-pore distances in porous media. The intensity-intensity correlation functions of the one-dimensional NMR profiles display an interplay, as a function of length scale, among the dimensions of the porous network and its embedding space, and their respective dimensions in the projections. Corroboration of these NMR results are achieved with similar analysis of SEM two-dimensional images and their corresponding one-dimensional projections obtained with the same porous Pyrex glass. The approach developed to characterize the macroscopic randomness in these porous glass filters should prove generic for the study of other random materials.Key words: NMR imaging, scanning electron microscopy, porous media, disorder, statistical characterization.

Path integrals for wave intensity fluctuations in random media

1986 ◽  
Vol 106 (3) ◽  
pp. 509-528 ◽  
Author(s):  
B.J. Uscinski ◽  
C. Macaskill ◽  
M. Spivack
Keyword(s):  
Random Media ◽  
Path Integrals ◽  
Wave Intensity ◽  
Intensity Fluctuations

Nonlinear effects upon waves near caustics

1979 ◽  
Vol 292 (1392) ◽  
pp. 341-370 ◽  
Keyword(s):  
Water Waves ◽  
Wave Train ◽  
Nonlinear Effects ◽  
Companion Paper ◽  
Exceptional Case ◽  
Wave Intensity ◽  
One Dimensional ◽  
Uniform Medium ◽  
The Waves ◽  
Interpretative Framework

According to linear theory the wave intensity of a slowly varying wave train becomes particularly large near caustics. In this paper it is shown how the waves are modified when the wave intensity is sufficient for nonlinear effects to begin to be important. Two types of near-linear caustics can arise in which nonlinearity either tends to advance or to retard the reflexion of waves from the caustic. General examples are given in terms of one-dimensional wave propagation, and of propagation in a uniform medium. Detailed consideration is given to a particular example: small-amplitude water waves on deep currents. This helps to provide an interpretative framework for the large-amplitude results presented in the companion paper (Peregrine & Thomas 1979). For the more exceptional case of triple roots, or cusped caustics, the increase in wave intensity is even more dramatic. In three appendices the analysis for caustics is extended to some higher-order cases.

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