REFLECTION AND TRANSMISSION BY AN ARRAY OF SPHERICAL VOIDS IN AN ELASTIC SOLID.

J. D. Achenbach; M. Kitahara

doi:10.1007/978-1-4615-7763-8_9

REFLECTION AND TRANSMISSION BY AN ARRAY OF SPHERICAL VOIDS IN AN ELASTIC SOLID.

J. D. Achenbach^*, M. Kitahara

^*Corresponding author for this work

Civil and Environmental Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

4 Scopus citations

Abstract

Studies of scattering by porosity are often based on single scattering theory, in which the interaction between the voids is either neglected or taken into account in some approximate manner. In this paper we consider a case where the analysis can be carried out without approximations, and the effect of multiple scattering can be rigorously accounted for. Reflection and transmission coefficients can be defined in terms of the coefficient of the zeroth order scattered wave. This coefficient has been computed by a novel application of the Betti-Rayleigh reciprocal theorems.

Original language	English (US)
Title of host publication	Review of Progress in Quantitative Nondestructive Evaluation
Publisher	Plenum Press
Pages	93-100
Number of pages	8
ISBN (Print)	0306422697, 9780306422690
DOIs	https://doi.org/10.1007/978-1-4615-7763-8_9
State	Published - 1986

Publication series

Name	Review of Progress in Quantitative Nondestructive Evaluation
Volume	5 A
ISSN (Print)	0743-0760

ASJC Scopus subject areas

Engineering(all)

Access to Document

10.1007/978-1-4615-7763-8_9

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title = "REFLECTION AND TRANSMISSION BY AN ARRAY OF SPHERICAL VOIDS IN AN ELASTIC SOLID.",

abstract = "Studies of scattering by porosity are often based on single scattering theory, in which the interaction between the voids is either neglected or taken into account in some approximate manner. In this paper we consider a case where the analysis can be carried out without approximations, and the effect of multiple scattering can be rigorously accounted for. Reflection and transmission coefficients can be defined in terms of the coefficient of the zeroth order scattered wave. This coefficient has been computed by a novel application of the Betti-Rayleigh reciprocal theorems.",

author = "Achenbach, {J. D.} and M. Kitahara",

year = "1986",

doi = "10.1007/978-1-4615-7763-8_9",

language = "English (US)",

isbn = "0306422697",

series = "Review of Progress in Quantitative Nondestructive Evaluation",

publisher = "Plenum Press",

pages = "93--100",

booktitle = "Review of Progress in Quantitative Nondestructive Evaluation",

}

TY - GEN

T1 - REFLECTION AND TRANSMISSION BY AN ARRAY OF SPHERICAL VOIDS IN AN ELASTIC SOLID.

AU - Achenbach, J. D.

AU - Kitahara, M.

PY - 1986

Y1 - 1986

N2 - Studies of scattering by porosity are often based on single scattering theory, in which the interaction between the voids is either neglected or taken into account in some approximate manner. In this paper we consider a case where the analysis can be carried out without approximations, and the effect of multiple scattering can be rigorously accounted for. Reflection and transmission coefficients can be defined in terms of the coefficient of the zeroth order scattered wave. This coefficient has been computed by a novel application of the Betti-Rayleigh reciprocal theorems.

AB - Studies of scattering by porosity are often based on single scattering theory, in which the interaction between the voids is either neglected or taken into account in some approximate manner. In this paper we consider a case where the analysis can be carried out without approximations, and the effect of multiple scattering can be rigorously accounted for. Reflection and transmission coefficients can be defined in terms of the coefficient of the zeroth order scattered wave. This coefficient has been computed by a novel application of the Betti-Rayleigh reciprocal theorems.

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U2 - 10.1007/978-1-4615-7763-8_9

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SN - 9780306422690

T3 - Review of Progress in Quantitative Nondestructive Evaluation

SP - 93

EP - 100

BT - Review of Progress in Quantitative Nondestructive Evaluation

PB - Plenum Press

ER -