On the wave propagation in unbounded random media
type: Item
instance of: scholarly article
title: On the wave propagation in unbounded random media
zbMATH Open document ID: 0628.73003
DOI: 10.1016/0378-4754(87)90138-8
author: Ester Gabetta
published in: Mathematics and Computers in Simulation
publication date: 1987-01-01T00:00:00Z
review text: Using the integral equation formulation of the wave equation in the presence of a source, the author shows the existence of solution by the contraction mapping principle. He then applies it to obtain the wave field in the presence of a scattering volume of random nature. The application of existence of solution in unbounded medium to that bounded by a random layer is, however, not very obvious.
Mathematics Subject Classification ID: 74A40
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 74J20
Mathematics Subject Classification ID: 35P25
zbMATH DE Number: 4022706
zbMATH Keywords: Born approximation
zbMATH Keywords: radiation of scalar waves
zbMATH Keywords: harmonic point source
zbMATH Keywords: losslss
zbMATH Keywords: isotropic
zbMATH Keywords: time-independent random medium
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: integral equation formulation
zbMATH Keywords: existence
zbMATH Keywords: contraction mapping principle
zbMATH Keywords: unbounded medium
zbMATH Keywords: bounded by a random layer
reviewed by: F. D. Zaman
MaRDI profile type: Publication
full work available at URL: 0378-4754(87)90138-8
OpenAlex ID: W1971620346
cites work: On the theory of optical images affected by artificial influences in the focal plane
cites work: From global scaling, à la Kolmogorov, to local multifractal scaling in fully developed turbulence
cites work: Random integral equations with applications to life sciences and engineering
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description: scientific article; zbMATH DE number 4022706