Investigation into angular and frequency dependence of scattering matrices of elastodynamic scatterers

Jie Zhang*, Maria Felice, Alexander Velichko, Paul Wilcox

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

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Abstract

The scattering behaviour of a finite-sized elastodynamic scatterer in a homogeneous isotropic medium can be encapsulated in a scattering matrix (S-matrix) for each wave mode combination. Each S-matrix is a continuous complex function of 3 variables: incident wave angle, scattered wave angle and frequency. In the paper, the S-matrices for various scatterers (circular holes, straight smooth cracks, rough cracks and 4 circular holes in an area of interest) are investigated. It is shown that, for a given scatterer, the continuous data in the angular dimensions of an S-matrix can be represented to a prescribed level of accuracy by a finite number of complex Fourier coefficients. The finding is that the number of angular orders required to characterise a scatterer is a function of scatterer size and is related to the Nyquist theorem. The variation of scattering behaviour with frequency is examined next and is found to show periodic oscillation with a period which is a function of scatterer size and its geometry. The shortest period of these oscillations indicates the maximum frequency increment required to accurately describe the scattering behaviour in a specific frequency range. Finally, the maximum angular order and frequency increments for the chosen scatterers in a specific frequency range are suggested.

Original languageEnglish
Title of host publication42nd annual review of progress in quantitative nondestructive evaluation
Subtitle of host publicationIncorporating the 6th European-American workshop on reliability of NDE
PublisherAmerican Institute of Physics (AIP)
Number of pages9
ISBN (Print)9780735413535
DOIs
Publication statusPublished - 10 Feb 2016
Event42nd Annual Review of Progress in Quantitative Nondestructive Evaluation (QNDE 2015): Incorporating the 6th European-American Workshop on Reliability of NDE - Minneapolis, Minnesota, United States
Duration: 26 Jul 201531 Jul 2015
Conference number: 42

Publication series

NameAIP Conference Proceedings
PublisherAmerican Institute of Physics
Volume1706
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference42nd Annual Review of Progress in Quantitative Nondestructive Evaluation (QNDE 2015)
Abbreviated titleQNDE 2015
CountryUnited States
CityMinneapolis, Minnesota
Period26/07/1531/07/15

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