Skip to main content
SpringerLink
Log in

Focusing ultrasonic waves in a 2-D covered channel above the periodic array of Helmholtz resonators

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

This paper presents the numerical simulation and experiments on focusing low-frequency ultrasonic waves in a 2-D covered channel above acoustic metamaterials composed of the periodic array of Helmholtz resonators, in which the refractive index can be in a negative value. The 2-D channel above the acoustic metamaterials is covered by a plate to limit the area affected by the negative refractive index metamaterials. Ultrasonic waves propagated in the 2-D covered channel are found to be highly dependent on input frequency and the designed Helmholtz resonator structure, where its negative refractive index causes the focusing phenomenon in this channel. From the numerical simulation and experiments, an amplitude focus spot is observed in the peak-to-peak of the time domain signal and frequency response at 125 kHz by mapping a pressure field in the 2-D covered channel. Different focal points with several input frequencies are also identified. Our research demonstrates the possibility of applying the designed lens based on acoustic metamaterials to improve the focusing effect in ultrasonic testing.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. W. D. Bruce and P. D. Wilcox, Ultrasonic arrays for nondestructive evaluation: A review, NDT & E International, 39 (7) (2006) 525–541.

    Article  Google Scholar 

  2. T. J. Dubinsky, C. Cuevas, M. K. Dighe, O. Kolokythas and J. H. Hwang, High-intensity focused ultrasound: current potential and oncologic application, American Journal of Roentgenology, 190 (1) (2009) 191–199.

    Article  Google Scholar 

  3. A. W. Elbern and L. Guimaraes, Synthetic aperture focusing technique for image restauration, NDT.net, 5 (8) (2000) http://www.ndt.net/article/v05n08/elbern/elbern.htm.

    Google Scholar 

  4. J. Goodman, Introduction to Fourier optics, Roberts & Company publishers, Englewood (2005).

    Google Scholar 

  5. D. Lee, D. M. Nguyen and J. Rho, Acoustic wave science realized by metamaterials, Nano Convergence, 4 (2017) 3.

    Article  Google Scholar 

  6. Y. Li, G. Yu, B. Liang, X. Zou, G. Li, S. Cheng and J. Cheng, Three dinemsional ultrathin planar lenses by acoustic metamaterials, Scientific Reports, 4 (2014) 6830.

    Article  Google Scholar 

  7. J. B. Pendry, Negative refraction makes a perfect lens, Physical Review Letters, 85 (2000) 3966.

    Article  Google Scholar 

  8. S. A. Cummer, J. Christensen and A. Alu, Controlling sound with acoustic metamaterials, Nature Reviews (2016) 16001.

    Google Scholar 

  9. R. B. Greegor, C. G. Parazzoli, J. A. Thompson and M. H. Tanielian, Simulation and testing of a graded negative index of refraction lens, Applied Physics Letters, 87 (2005) 091114.

    Article  Google Scholar 

  10. D. Li, L. Zigoneanu, B. Popa and S. A. Cummer, Design of an acoustic metamaterials lens using genetic algorithms, Acoustic Society of America, 132 (4) (2002) 2823–2833.

    Article  Google Scholar 

  11. N. Kaina, F. Lemoult, M. Fink and G. Lerosey, Negative refractive index and acoustic superlens from multiple scattering in single negative metamaterials, Nature, 525 (2015) 77–81.

    Article  Google Scholar 

  12. G. V. Eleftheriades, A. K. Iyer and P.C Kremer, Planar negative refractive index media using periodically LC loaded transmission lines, IEEE Trans. Microwave Theory and Tech., 50 (2002) 2702–2712.

    Article  Google Scholar 

  13. A. Grbic and G. V. Eleftheriades, Overcoming the diffraction limit with a planar left-handed transmission-line lens, Physical Review Letters, 92 (2004) 117403.

    Article  Google Scholar 

  14. N. Fang, H. Lee, C. Sun and X. Zhang, Sub-diffraction limited optical imaging with a silver superlens, Science, 308 (2005) 534.

    Article  Google Scholar 

  15. C. Qiu, X. Zhang and Z. Liu, Far-field imaging of acoustic waves by a two-dimensional sonic crystal, Physical Review Letters, B 71 (2005) 054302.

    Article  Google Scholar 

  16. M. Ke, Z. Liu, C. Qiu, W. Wang, J. Shi, W. Wen and P. Sheng, Negative Refraction imaging with two-dimensional phononic crystals, Physical Review Letters, B 72 (2005) 064306.

    Article  Google Scholar 

  17. J. Liu, Z. Liu and C. Qiu, Negative refraction imaging of acoustic waves by a two-dimensional three component phononic crystals, Physical Review Letters, B 73 (2006) 054302.

    Article  Google Scholar 

  18. Y. Cheng, J. Y. Xu and X. J. Liu, One-dimensional structured ultrasonic metamaterials with simultaneously negative dynamic density and modulus, Physical Review Letters, B 77 (2008) 045134.

    Article  Google Scholar 

  19. S. Yang, J. H. Page, Z. Liu, M. L. Cowan, C. T. Chan and P. Cheng, Focusing of sound in a 3D phononic crystals, Physical Review Letters, 93 (2004) 024301.

    Article  Google Scholar 

  20. S. Zhang, L. Yin and N. Fang, Focusing ultrasound with acoustic metamaterial network, Physical Review Letters, 1002 (2009) 194301.

    Article  Google Scholar 

  21. F. Lemoult, M. Fink and G. Lerosey, Acoustic resonators for far-field control of sound on a subwavelength scale, Physical Review Letters, 107 (2011) 064301.

    Article  Google Scholar 

  22. B.-J. Kwon, C. Jo, K.-C. Park and I.-K. Oh, Wave propagation characteristics of acoustic metamaterials with helmholtz resonators, Transactions of the KSNVE, 23 (2013) 167–175.

    Article  Google Scholar 

  23. A. K. Lyer, P. C. Kremer and G. V. Elefteriades, Experimental and theoretical verification of focusing in a large, periodically loaded transmission line negative refractive index metamaterial, Optics Express, 11 (2003) 696–708.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Engineering, Sungkyunkwan University, 2066, Seobu-ro, Suwon, Korea

    Anh Hoang Vu, Young-In Hwang, Hak-Joon Kim & Sung-Jin Song

Authors
  1. Anh Hoang Vu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Young-In Hwang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Hak-Joon Kim
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Sung-Jin Song
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sung-Jin Song.

Additional information

Recommended by Associate Editor Cheolung Cheong

Sung-Jin Song received his Ph.D. in Engineering Mechanics from Iowa State University, Ames, Iowa, USA in 1991. From 1983 to 1988, he worked at Daewoo Heavy Industries, Ltd., in Incheon, Korea, where he was certified as ASNT Level III in RT, UT, MT, and PT. He was an Assistant Professor at Chosun University, Gwangju, Korea for five years starting in 1993. Since 1998, he has been employed at Sungkyunkwan University, Suwon, Korea and is currently a Professor in Mechanical Engineering.

Anh Hoang Vu is a Ph.D. candidate in the Graduate School of Mechanical Engineering at Sungkyunkwan University, Suwon, Korea. His fields of interest include nondestructive evaluation for material characterization, ultrasonic testing, and focused ultrasound with acoustic metamaterials.

Young-In Hwang is a Ph.D. student in the Graduate School of Mechanical Engineering at Sungkyunkwan University, Suwon, Korea. His current research interests include nondestructive evaluation for material characterization and focused ultrasound using acoustic metamaterials.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Vu, A.H., Hwang, YI., Kim, HJ. et al. Focusing ultrasonic waves in a 2-D covered channel above the periodic array of Helmholtz resonators. J Mech Sci Technol 31, 4631–4636 (2017). https://doi.org/10.1007/s12206-017-0909-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-017-0909-3

Keywords

Search

Navigation