Reflection from a One-Dimensional, Totally Refracting Random Multilayer II-Internal Field Statistics

The modeling of acoustic scattering by ocean sediments has led to the formulation of an idealized, one-dimensional problem involving the interplay of random scattering and total internal reflection. The behavior of the reflection coefficient in the lossless case was discussed in [W. E. Kohler, Refle...

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Bibliographic Details
Published in:SIAM journal on applied mathematics 1988-06, Vol.48 (3), p.652-661
Main Author: Kohler, Werner E.
Format: Article
Language:English
Subjects:
Acoustics
Angular speed
Audio frequencies
Boundary value problems
Cauchy problem
Exact sciences and technology
Fokker Planck equation
Invariant embeddings
Mathematical functions
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Partial differential equations, miscellaneous problems
Plane waves
Reflectance
Sciences and techniques of general use
Sediments
Variables
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Summary:The modeling of acoustic scattering by ocean sediments has led to the formulation of an idealized, one-dimensional problem involving the interplay of random scattering and total internal reflection. The behavior of the reflection coefficient in the lossless case was discussed in [W. E. Kohler, Reflection from a one-dimensional, totally refracting multilayer, SIAM J. Appl. Math., 46, 1986, pp. 464-482]. Using the ideas of invariant embedding, expressions for the mean field intensities and intensity fluctuations as functions of depth within the sediment layer are now derived.
ISSN:0036-1399
1095-712X
DOI:10.1137/0148036