Reflection from a One-Dimensional, Totally Refracting Random Multilayer

Reflection from a One-Dimensional, Totally Refracting Random Multilayer

The interplay of random scattering and total internal reflection is studied in the context of an idealized one-dimensional problem arising in acoustic scattering from ocean sediments. Appropriate scalings are introduced; the asymptotic analysis of the Fokker-Planck equation for the reflection coeffi...

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Veröffentlicht in:SIAM journal on applied mathematics 1986-06, Vol.46 (3), p.464-482
1. Verfasser: Kohler, Werner E.
Format: Artikel
Sprache:eng
Schlagworte:
Acoustics
Angle of incidence
Average linear density
Basement rocks
Boundary value problems
Cauchy problem
Coefficients
Energy
Exact sciences and technology
Fokker Planck equation
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Partial differential equations, miscellaneous problems
Reflectance
Sciences and techniques of general use
Sediments
Trajectories
Variables
Velocity
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Beschreibung
Zusammenfassung:The interplay of random scattering and total internal reflection is studied in the context of an idealized one-dimensional problem arising in acoustic scattering from ocean sediments. Appropriate scalings are introduced; the asymptotic analysis of the Fokker-Planck equation for the reflection coefficient is performed and subsequently compared with the results of numerical simulations.
ISSN:0036-1399
1095-712X
DOI:10.1137/0146032