Skip to main content
Log in

Moiré effect in cylindrical objects

  • Published:
Journal of the Korean Physical Society Aims and scope Submit manuscript

Abstract

The moiré effect in single-walled cylindrical objects (gridshells) is investigated. The surface of such an object is a rolled-up periodic grating (mesh). Analytical formulae are obtained for the period of the moiré patterns, which depends particularly on the direction of the wavevector of the grating. The experiments confirm the theory. The results can be applied to nanoparticles and to three-dimensional autostereoscopic displays.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. I. Amidror, The Theory of the Moiré Phenomenon (Springer, London, 2009), vol. 1.

    Book  MATH  Google Scholar 

  2. I. Amidror, The Theory of the Moiré Phenomenon (Springer, Dordrecht, 2007), vol. 2.

    MATH  Google Scholar 

  3. G. A. Bassett, J. W. Menter and D. W. Pashley, P. R. Soc. London 256, 345 (1958).

    Article  ADS  Google Scholar 

  4. D. Su and Y. Zhu, Ultramicroscopy 110, 229 (2010).

    Article  Google Scholar 

  5. Y. Hongbing, Y. Xia, Z. Jun and H. Anzhi, Microw. Opt. Tech. Let. 49, 2761 (2007).

    Article  Google Scholar 

  6. Y.-Y. Chen, Z. Liu, J. Du and R.-S. Chang, J. Opt. Soc. Korea 19, 123 (2015).

    Article  Google Scholar 

  7. U. Bonse, W. Grae and G. Materlik, Rev. Phys. Appl. 11, 83 (1976).

    Article  Google Scholar 

  8. I. M. Fodchuk and N. D. Raransky, J. Phys. D: Appl. Phys. 36, A55 (2003).

    Article  ADS  Google Scholar 

  9. J. Yoshimura, Acta Cryst. A 71, 368381 (2015).

    Article  MathSciNet  Google Scholar 

  10. L. X. Benedict, N. G. Chopra, M. L. Cohen, A. Zettl, S. G. Louie and V. H. Crespi, Chem. Phys. Lett. 286, 490 (1998).

    Article  ADS  Google Scholar 

  11. A. T. N’Diaye, S. Bleikamp, P. J. Feibelman and T. Michely, Phys. Rev. Lett. 97, 215501 (2006).

    Article  ADS  Google Scholar 

  12. D. L. Miller, K. D. Kubista, G. M. Rutter, M. Ruan, W. A. de Heer, P. N. First and J. A. Stroscio, Phys. Rev. B 81, 125427 (2010).

    Article  ADS  Google Scholar 

  13. M. C. Hutley, R. Hunt, R. F. Stevens and P. Savandert, Pure Appl. Opt. A 3, 133 (1994).

    Article  ADS  Google Scholar 

  14. H. Kamel, R. Völkel and J. Alda, Opt. Eng. 37, 3007 (1998).

    Article  ADS  Google Scholar 

  15. V. Saveljev and S.-K. Kim, Opt. Express 20, 2163 (2012).

    Article  ADS  Google Scholar 

  16. V. Saveljev, J. Korean Phys. Soc. 57, 1392 (2010).

    Article  ADS  Google Scholar 

  17. V. Saveljev and S.-K. Kim, Opt. Express 21, 1693 (2013).

    Article  ADS  Google Scholar 

  18. V. Derycke, R. Martel, M. Radosavljevic, F. M. Ross and P. Avouris, Nano Lett. 2, 1043 (2002).

    Article  ADS  Google Scholar 

  19. Z. Liu, D. Zhang, S. Han, C. Li, B. Lei, W. Lu, J. Fang and C. Zhou, J. Am. Chem. Soc. 127, 6 (2005).

    Article  Google Scholar 

  20. P. X. Gao, C. S. Lao, Y. Ding and Z. L. Wang, Adv. Funct. Mater. 16, 53 (2006).

    Article  Google Scholar 

  21. K. Won, R. Rajasekharan, P. Hands, Q. Dai and T. D. Wilkinson, Opt. Eng. 50, 054002 (2011).

    Article  ADS  Google Scholar 

  22. V. Saveljev, in Proceedings of Korean Physical Society Spring Meeting (Daejeon, Korea, 2015), p. D11–04.

    Google Scholar 

  23. V. Saveljev, presented at 13th International Nanotech Symposium (Seoul, Korea, July 1-3, 2015).

    Google Scholar 

  24. K. Patorski and M. Kujawinska, Handbook of the Moiré Fringe Technique (Elsevier, Amsterdam, 1993).

    Google Scholar 

  25. K. Pokorski and K. Patorski, Appl. Opt. 49, 3640 (2010).

    Article  ADS  Google Scholar 

  26. V. Saveljev, in Proceedings of 15th International Meeting on Information Display (Daegu, Korea, 2015), p. 171.

    Google Scholar 

  27. N. Fukui, Y. Suwa, H. Yoshida, T. Sugai, S. Heike, M. Fujimori, Y. Terada, T. Hashizume and H. Shinohara, Phys. Rev. B 79, 125402 (2009).

    Article  ADS  Google Scholar 

  28. K. Schouteden, A. Volodin, Z. Li and C. Van Haesendonck, Carbon 61, 379 (2013).

    Article  Google Scholar 

  29. K. Liu, C. Jin, X. Hong, J. Kim, A. Zettl, E. Wang and F. Wang, Nat. Phys. 10, 737 (2014).

    Article  Google Scholar 

  30. P. Zhang, Z. Zhang, J. Prakash, S. Huang, D. Hernandez, M. Salazar, D. N. Christodoulides and Z. Chen, Opt. Lett. 36, 1491 (2011).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vladimir Saveljev.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Saveljev, V. Moiré effect in cylindrical objects. Journal of the Korean Physical Society 68, 1075–1082 (2016). https://doi.org/10.3938/jkps.68.1075

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3938/jkps.68.1075

Keywords

Navigation