Abstract
The ultrasonic backscattering technique is employed for the characterization of a 2D surface corrugation which is superposed on or hidden on the backside of a polycarbonate sample. In contrast to previous studies where the incident angle at well-defined and a-priori known symmetry orientations of the surface structure is varied in order to extract the characteristic periodicities, the backscatter polar scan method incorporates an additional variation of the orientation of the vertical insonification plane within the experimental measurement protocol. As such, the characteristic periodicities as well as the surface symmetries can be extracted without any prior knowledge of the surface structure. As a benefit compared to optical methods, we have also validated this extended methodology for the investigation of a 2D subsurface corrugation. Although the diffraction conditions do not change in comparison with a visible 2D surface corrugation, we remark that additional attention is required in the sense that the elastic properties of the substrate material put further restrictions to the range of applicable ultrasonic frequencies. The characterized periodicities and symmetries are in excellent agreement with the design parameters of the (hidden) 2D surface grating.
References
Jungman, A., Adler, L., Quentin, G.: Ultrasonic anomalies in the spectrum of acoustic-waves diffracted by periodic interfaces. J. Appl. Phys. 53, 4673–4680 (1982)
Claeys, J.M., Leroy, O., Jungman, A., Adler, L.: Diffraction of ultrasonic-waves from periodically rough liquid solid-surface. J. Appl. Phys. 54, 5657–5662 (1983)
Roberts, R., Achenbach, J.D., Ko, R., Adler, L., Jungman, A., Quentin, G.: Reflection of a beam of elastic-waves by a periodic surface profile. Wave Motion 7, 67–77 (1985)
Nagy, P.B., Adler, L.: Surface-roughness induced attenuation of reflected and transmitted ultrasonic-waves. J. Acoust. Soc. Am. 82, 193–197 (1987)
Mampaert, K., Nagy, P.B., Leroy, O., Adler, L., Jungman, A., Quentin, G.: On the origin of the anomalies in the reflected ultrasonic spectra from periodic surfaces. J. Acoust. Soc. Am. 86, 429–431 (1989)
Declercq, N.F., Degrieck, J., Briers, R., Leroy, O.: Theoretical verification of the backward displacement of waves reflected from an interface having superimposed periodicity. Appl. Phys. Lett. 82, 2533–2534 (2003)
Declercq, N.F., Degrieck, J., Briers, R., Leroy, O.: Theory of the backward beam displacement on periodically corrugated surfaces and its relation to leaky Scholte-Stoneley waves. J. Appl. Phys. 96, 6869–6877 (2004)
N. Declercq, The interaction of complex harmonic elastic waves with periodically corrugated surfaces and with anisotropic viscoelastic or piezoelectric layered media. Phd (2005) 636.
Herbison, S.W., Vander, J.M., Weide, Declercq, N.F.: Observation of ultrasonic backward beam displacement in transmission through a solid having superimposed periodicity. Appl. Phys. Lett. 97(4), 041908 (2010)
De Billy, M., Cohentenoudji, F., Jungman, A., Quentin, G.J.: Possibility of assigning a signature to rough surfaces using ultrasonic backscattering diagrams. IEEE Trans. Sonics Ultrason. 23, 356–363 (1976)
De Billy, M., Quentin, G.: Measurement of the periodicity of internal surfaces by ultrasonic testing. J. Phys. D 15, 1835–1841 (1982)
S.W. Herbison, Ultrasonic diffraction effects on periodic surfaces. PhD thesis; Georgia Institute of Technology (2011) 214.
Shin, Y.C., Oh, S.J., Coker, S.A.: Surface-roughness measurement by ultrasonic sensing for in-process monitoring. J. Eng. Ind. Trans. Asme 117, 439–447 (1995)
Sukmana, D.D., Ihara, I.: Surface roughness characterization through the use of diffuse component of scattered air-coupled ultrasound. Jpn. J. Appl. Phys. Part 1 45, 4534–4540 (2006)
Bragg, W.L.: The diffraction of short electromagnetic waves by a crystal. Proc. Cambridge Phil. Soc. 17, 43–57 (1913)
Nagy, P.B., Jungman, A., Adler, L.: Measurements of backscattered leaky lamb waves in composite plates. Mater. Eval. 46, 97–100 (1988)
Liu, J.F., Declercq, N.F.: Air-coupled ultrasonic investigation of stacked cylindrical rods. J. Acoust. Soc. Am. 131, 4500–4507 (2012)
M. Kersemans, W. Van Paepegem, K. Van Den Abeele, L. Pyl, F. Zastavnik, H. Sol, J. Degrieck, The pulsed ultrasonic backscatter polar scan and its applications for NDT and material characterization. Experimental Mechanics (2014, in press). doi:10.1007/s11340-013-9843-1.
Auld, B.A.: Acoustic Fields and Waves in Solids, 2nd edn. Krieger publishing company, Florida (1990)
Selfridge, A.R.: Approximate material properties in isotropic materials. IEEE Trans. Sonics Ultrason. 32, 381–394 (1985)
M. Kersemans, A. Martens, N. Lammens, K. Van Den Abeele, J. Degrieck, F. Zastavnik, L. Pyl, H. Sol, W. Van Paepegem, Identification of the elastic properties of isotropic and orthotropic thin-plate materials with the pulsed ultrasonic polar scan. Experimental Mechanics (2014, in press). doi:10.1007/s11340-014-9861-7.
Acknowledgments
Mathias Kersemans acknowledges funding of the FWO-Vlaanderen through grant G012010N. The authors are highly indebted to the Centre for MicroSystems Technology CMST (Ghent University) for supplying the PC sample.
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Kersemans, M., Van Paepegem, W., Van Den Abeele, K. et al. Ultrasonic Characterizaion of Subsurface 2D Corrugation. J Nondestruct Eval 33, 438–442 (2014). https://doi.org/10.1007/s10921-014-0239-7
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DOI: https://doi.org/10.1007/s10921-014-0239-7