Scattering of ultrasonic waves by oblate spheroidal voids of high aspect ratios

Akhlesh Lakhtakia; Vasundara V. Varadan; Vijay K. Varadan

doi:10.1063/1.336267

Scattering of ultrasonic waves by oblate spheroidal voids of high aspect ratios

Akhlesh Lakhtakia, Vasundara V. Varadan, Vijay K. Varadan

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18 Scopus citations

Abstract

The scattering of ultrasonic waves by oblate spheroidal voids of very high aspect ratios (a:b=1:20) is analyzed using the T-matrix method. By using an iterative Gram-Schmidt orthogonalization procedure, and by enforcing the unitarity and the symmetry properties of the T matrix at each iteration, numerical results are presented for normalized frequencies k_pb up to 15.0. Aspect ratios up to 1:20 and such high frequencies were previously not amenable to computations using the conventional T-matrix procedure. Scattering by smooth as well as rough voids having periodically corrugated surfaces is studied. All computations were carried out on a DEC VAX 11/730 minicomputer.

Original language	English (US)
Pages (from-to)	4525-4530
Number of pages	6
Journal	Journal of Applied Physics
Volume	58
Issue number	12
DOIs	https://doi.org/10.1063/1.336267
State	Published - 1985

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1063/1.336267

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title = "Scattering of ultrasonic waves by oblate spheroidal voids of high aspect ratios",

abstract = "The scattering of ultrasonic waves by oblate spheroidal voids of very high aspect ratios (a:b=1:20) is analyzed using the T-matrix method. By using an iterative Gram-Schmidt orthogonalization procedure, and by enforcing the unitarity and the symmetry properties of the T matrix at each iteration, numerical results are presented for normalized frequencies kpb up to 15.0. Aspect ratios up to 1:20 and such high frequencies were previously not amenable to computations using the conventional T-matrix procedure. Scattering by smooth as well as rough voids having periodically corrugated surfaces is studied. All computations were carried out on a DEC VAX 11/730 minicomputer.",

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year = "1985",

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AU - Lakhtakia, Akhlesh

AU - Varadan, Vasundara V.

AU - Varadan, Vijay K.

PY - 1985

Y1 - 1985

N2 - The scattering of ultrasonic waves by oblate spheroidal voids of very high aspect ratios (a:b=1:20) is analyzed using the T-matrix method. By using an iterative Gram-Schmidt orthogonalization procedure, and by enforcing the unitarity and the symmetry properties of the T matrix at each iteration, numerical results are presented for normalized frequencies kpb up to 15.0. Aspect ratios up to 1:20 and such high frequencies were previously not amenable to computations using the conventional T-matrix procedure. Scattering by smooth as well as rough voids having periodically corrugated surfaces is studied. All computations were carried out on a DEC VAX 11/730 minicomputer.

AB - The scattering of ultrasonic waves by oblate spheroidal voids of very high aspect ratios (a:b=1:20) is analyzed using the T-matrix method. By using an iterative Gram-Schmidt orthogonalization procedure, and by enforcing the unitarity and the symmetry properties of the T matrix at each iteration, numerical results are presented for normalized frequencies kpb up to 15.0. Aspect ratios up to 1:20 and such high frequencies were previously not amenable to computations using the conventional T-matrix procedure. Scattering by smooth as well as rough voids having periodically corrugated surfaces is studied. All computations were carried out on a DEC VAX 11/730 minicomputer.

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ER -

Scattering of ultrasonic waves by oblate spheroidal voids of high aspect ratios

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