Angular spectrum approach for the computation of group and phase velocity surfaces of acoustic waves in anisotropic materials

M. Pluta, M. Schubert, J. Jahny, W. Grill

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

The decomposition of an acoustic wave into its angular spectrum representation creates an effective base for the calculation of wave propagation effects in anisotropic media. In this method, the distribution of acoustic fields is calculated in arbitrary planes from the superposition of the planar components with proper phase shifts. These phase shifts depend on the ratio of the distance between the planes to the normal component of the phase slowness vector. In anisotropic media, the phase shifts depend additionally on the changes of the slowness with respect to the direction of the propagation vector and the polarization. Those relations are obtained from the Christoffel equation. The method employing the fast Fourier transformation algorithm is especially suited for volume imaging in anisotropic media, based on holographic detection in transmission of acoustic waves generated by a point source. This technique is compared with measurements on crystals performed by phase-sensitive scanning acoustic microscopy.

Original languageEnglish (US)
Pages (from-to)232-236
Number of pages5
JournalUltrasonics
Volume38
Issue number1
DOIs
StatePublished - Mar 2000

Fingerprint

phase velocity
group velocity
anisotropic media
phase shift
acoustics
fast Fourier transformations
point sources
wave propagation
microscopy
decomposition
scanning
propagation
polarization
crystals

ASJC Scopus subject areas

  • Acoustics and Ultrasonics

Cite this

Angular spectrum approach for the computation of group and phase velocity surfaces of acoustic waves in anisotropic materials. / Pluta, M.; Schubert, M.; Jahny, J.; Grill, W.

In: Ultrasonics, Vol. 38, No. 1, 03.2000, p. 232-236.

Research output: Contribution to journalArticle

@article{3b25aca535f246e794953511b15fc857,
title = "Angular spectrum approach for the computation of group and phase velocity surfaces of acoustic waves in anisotropic materials",
abstract = "The decomposition of an acoustic wave into its angular spectrum representation creates an effective base for the calculation of wave propagation effects in anisotropic media. In this method, the distribution of acoustic fields is calculated in arbitrary planes from the superposition of the planar components with proper phase shifts. These phase shifts depend on the ratio of the distance between the planes to the normal component of the phase slowness vector. In anisotropic media, the phase shifts depend additionally on the changes of the slowness with respect to the direction of the propagation vector and the polarization. Those relations are obtained from the Christoffel equation. The method employing the fast Fourier transformation algorithm is especially suited for volume imaging in anisotropic media, based on holographic detection in transmission of acoustic waves generated by a point source. This technique is compared with measurements on crystals performed by phase-sensitive scanning acoustic microscopy.",
author = "M. Pluta and M. Schubert and J. Jahny and W. Grill",
year = "2000",
month = "3",
doi = "10.1016/S0041-624X(99)00123-7",
language = "English (US)",
volume = "38",
pages = "232--236",
journal = "Ultrasonics",
issn = "0041-624X",
publisher = "Elsevier",
number = "1",

}

TY - JOUR

T1 - Angular spectrum approach for the computation of group and phase velocity surfaces of acoustic waves in anisotropic materials

AU - Pluta, M.

AU - Schubert, M.

AU - Jahny, J.

AU - Grill, W.

PY - 2000/3

Y1 - 2000/3

N2 - The decomposition of an acoustic wave into its angular spectrum representation creates an effective base for the calculation of wave propagation effects in anisotropic media. In this method, the distribution of acoustic fields is calculated in arbitrary planes from the superposition of the planar components with proper phase shifts. These phase shifts depend on the ratio of the distance between the planes to the normal component of the phase slowness vector. In anisotropic media, the phase shifts depend additionally on the changes of the slowness with respect to the direction of the propagation vector and the polarization. Those relations are obtained from the Christoffel equation. The method employing the fast Fourier transformation algorithm is especially suited for volume imaging in anisotropic media, based on holographic detection in transmission of acoustic waves generated by a point source. This technique is compared with measurements on crystals performed by phase-sensitive scanning acoustic microscopy.

AB - The decomposition of an acoustic wave into its angular spectrum representation creates an effective base for the calculation of wave propagation effects in anisotropic media. In this method, the distribution of acoustic fields is calculated in arbitrary planes from the superposition of the planar components with proper phase shifts. These phase shifts depend on the ratio of the distance between the planes to the normal component of the phase slowness vector. In anisotropic media, the phase shifts depend additionally on the changes of the slowness with respect to the direction of the propagation vector and the polarization. Those relations are obtained from the Christoffel equation. The method employing the fast Fourier transformation algorithm is especially suited for volume imaging in anisotropic media, based on holographic detection in transmission of acoustic waves generated by a point source. This technique is compared with measurements on crystals performed by phase-sensitive scanning acoustic microscopy.

UR - http://www.scopus.com/inward/record.url?scp=0033894724&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033894724&partnerID=8YFLogxK

U2 - 10.1016/S0041-624X(99)00123-7

DO - 10.1016/S0041-624X(99)00123-7

M3 - Article

AN - SCOPUS:0033894724

VL - 38

SP - 232

EP - 236

JO - Ultrasonics

JF - Ultrasonics

SN - 0041-624X

IS - 1

ER -