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 language | English |
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Title of host publication | 42nd annual review of progress in quantitative nondestructive evaluation |
Subtitle of host publication | Incorporating the 6th European-American workshop on reliability of NDE |
Publisher | American Institute of Physics (AIP) |
Number of pages | 9 |
ISBN (Print) | 9780735413535 |
DOIs | |
Publication status | Published - 10 Feb 2016 |
Event | 42nd 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 2015 → 31 Jul 2015 Conference number: 42 |
Publication series
Name | AIP Conference Proceedings |
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Publisher | American Institute of Physics |
Volume | 1706 |
ISSN (Print) | 0094-243X |
ISSN (Electronic) | 1551-7616 |
Conference
Conference | 42nd Annual Review of Progress in Quantitative Nondestructive Evaluation (QNDE 2015) |
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Abbreviated title | QNDE 2015 |
Country/Territory | United States |
City | Minneapolis, Minnesota |
Period | 26/07/15 → 31/07/15 |