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Seismic Surface Wave Cloaking by Acoustic Wave Refraction

음향파 굴절을 이용한 지진파의 표면파 가림

  • Lee, Dong-Woo (Department of Naval Architecture & Ocean Engineering, Mokpo National Maritime University) ;
  • Kang, Young-Hoon (Department of Naval Architecture & Ocean Engineering, Mokpo National Maritime University) ;
  • Kim, Sang-Hoon (Division of Marine Engineering, Mokpo National Maritime University)
  • 이동우 (목포해양대학교 조선해양공학과) ;
  • 강영훈 (목포해양대학교 조선해양공학과) ;
  • 김상훈 (목포해양대학교 기관공학부)
  • Received : 2015.04.07
  • Accepted : 2015.08.19
  • Published : 2015.11.01

Abstract

Recently two seismic cloaking methods of earthquake engineering have been suggested. One is the seismic wave deflection method that makes the seismic wave bend away and the other is the shadow zone method that makes an area that seismic waves cannot pass through. It is called as seismic cloaking. The fundamental principles of the seismic cloaking by variable refractive index were explained. A two-dimensional cylindrical model which was composed of 40 layers of different density and modulus was tested by numerical simulation. The center region of the model to be protected is called 'cloaked area' and the outer region of it to deflect the incoming wave is called 'cloaking area' or 'cloak area.' As the incoming surface wave is approaching to the cloaking area, the refractive index is decreasing and, therefore, the velocity and impedance are increasing. Then, the wave bends away the cloaked area instead of passing it. Three cases are tested depending on the comparison between the seismic wavelength and the diameter of the cloaked region. The advantage and disadvantage of the method were compared with conventional earthquake engineering method. Some practical requirements for realization in fields were discussed.

Keywords

References

  1. Villaverde R. Fundamental Concepts of Earthquake Engineering. 1st ed. New York: CRC; c2009. 960 p.
  2. Lee JS. Scattering of Surface Waves in Anisotropic Media for Applications in Wave Barrier and Non-Destructive Evaluation. J Earthquake Eng Soc Kor. 1998 Jun;2(2):77-85.
  3. Lee JH, Kim JK, Hong KJ. Characteristics of Earthquake Responses of an Isolated Containment Building in Nuclear Power Plants According to Natural Frequency of Soil. J Earthquake Eng Soc Kor. 2013 Nov;17(6): 245-55. https://doi.org/10.5000/EESK.2013.17.6.245
  4. Jeon BG, Choi HS, Hahm DG, Kim NS, Seismic Fragility Analysis of Base Isolated NPP Ping Systems, J Earthquake Eng Soc Kor. 2015 Jan;19(1): 29-36. https://doi.org/10.5000/EESK.2015.19.1.029
  5. Pendry JB. Optics: Positively negative. Nature. 2003 May;423:22-23. https://doi.org/10.1038/423022a
  6. Pendry JB. Photonics: Metamaterials in the sunshine. Nature Materials. 2006 Aug;5:599-600. https://doi.org/10.1038/nmat1697
  7. Pendry JB, Schurig D, Smith DR. Controlling Electromagnetic Fields. Science. 2006 May;312(5781):1780-1782. https://doi.org/10.1126/science.1125907
  8. Schurig D, Mock JJ, Justice BJ, Cummer SA, Pendry JB, Starr AF, Smith DR. Metamaterial Electromagnetic Cloak at Microwave Frequencies. Science. 2006 Oct;314:977-980. https://doi.org/10.1126/science.1133628
  9. Leonhardt U , Philbin T. Geometry and Light, The science of invisibility. 1st ed. New York: Dover; c2010. 288 p.
  10. Caloz C, Itoh T. Electromagnetic Metamaterials: Transmission Line Theory and Microwave Applications. 1st ed. New York: Wiley; c2006. 376 p.
  11. Solymar L, Shamonia E. Waves in Metamaterials. 1st ed. London: Oxford; c2009. 208 p.
  12. Gomory F, Solovyov M, Souc J, Navau C, Prat-Camps J, Sanchez A. Experimental Realization of a Magnetic Cloak. Science. 2012 Mar 23;335(6075):1466-1468. https://doi.org/10.1126/science.1218316
  13. Schittny R, Kadic M, Guenneau S, Wegener M. Experiments on Transformation Thermodynamics: Molding the Flow of Heat. Phys Rev Lett. 2013 May;110(19):195901. https://doi.org/10.1103/PhysRevLett.110.195901
  14. Schittny R, Kadic M , Buckmann T, Wegener M. Invisibility cloaking in a diffusive light scattering medium. Science. 2014 Jul; 345(6195):427-429. https://doi.org/10.1126/science.1254524
  15. Milton GW, Briane M, Willis JR. On cloaking for elasticity and physical equations with a transformation invariant form. New J Phys. 2006 Oct;8(10):248(21pages). https://doi.org/10.1088/1367-2630/8/10/248
  16. McCall MW, Favaro A, Kinsler P, Boardman A. A spacetime cloak, or a history editor. J Opt. 2011 Feb;13(2):024003(9pages). https://doi.org/10.1088/2040-8978/13/2/024003
  17. Boyd RW, Shi Z. Optical physics: How to hide in time. Naure. 2012 Jan;481(7379):35-36.
  18. Farhat M, Guenneau S, Enoch S, Movchan AB. Cloaking bending waves propagating in thin elastic plates. Phys Rev B. 2009 Jan;79(3):033102(4pages). https://doi.org/10.1103/PhysRevB.79.033102
  19. Farhat M, Guenneau S, Enoch S. Ultrabroadband Elastic Cloaking in Thin Plates. Phys Rev Lett. 2009 Jul;103(2):024301(4pages). https://doi.org/10.1103/PhysRevLett.103.024301
  20. Farhat M, Guenneau S, Enoch S. Broadband cloaking of bending waves via homogenization of multiply perforated radially symmetric and isotropic thin elastic plates. Phys Rev B. 2012 Jan;85(2):020301(4pages)(R).
  21. Kim SH, Das MP. Artificial Shadow Zone by Acoustic Metamaterials, Mod Phys Lett B. 2013 Jul;27(20):1350140(9pages). https://doi.org/10.1142/S0217984913501406
  22. Kim SH, Das MP. Seismic Waveguide of Metamaterials. Mod Phys Lett B. 2012 Jun;26(17):1250105(8pages). https://doi.org/10.1142/S0217984912501059
  23. Kim SH, Seismic Wave Technology Using Acoustic Metamaterials, New Phys. 2013 Sep;63(9):1032-1037. https://doi.org/10.3938/NPSM.63.1032
  24. Udias A. Principles of Seismology. 1st ed. Cambridge: Cambridge Univ. Press; c2000. 492 p.
  25. Aki K, Richards PG. Quantitative Seismology. 2nd ed. New York: University Science Books; c2009. 700 p.
  26. Kuznetsov SV. Seismic Waves and Seismic Barriers. Acoustical Physics. 2011 May 28;57(3):420-426. https://doi.org/10.1134/S1063771011030109
  27. Audin A, Lacan P, Tavera H, Bondoux F. Upper plate deformation and seismic barrier in front of Nazca subduction zone: The Chololo Fault System and active tectonics along the Coastal Cordillera. southern Peru Tectonophysics. 2008 Nov;459(1-4):174-185. https://doi.org/10.1016/j.tecto.2007.11.070
  28. Michel GW, Janssen C. Deformation along an apparent seismic barrier: a palaeoseismological study along the North Anatolian Fault. Annali Di Geofisica. 1996 May;39(3):647-662.
  29. O'Hanlon L. Earthquakes that break seismic sound barrier confirmed in lab experiments. [Internet]. U. S. A.: sott. net, Science & Technology; 2013 Jun. Available from: http://www.sott.net/article/262535-Earthquakes-that-break- seismic-sound-barrier-confirmed-in-lab-experiments
  30. Cummer SA, Schurig D. One path to acoustic cloaking. New J. Phys. 2007 Mar;9:45(4pages). https://doi.org/10.1088/1367-2630/9/3/045
  31. Cai LW, Sanchez-Dehesa J. Analysis of Cummer-Schurig acoustic cloaking. New J Phys. 2007 Dec;9:450(10pages). https://doi.org/10.1088/1367-2630/9/12/450
  32. Daniel T, Sanchez-Dehesa J. Acoustic cloaking in two dimensions: a feasible approach. New J Phys. 2008 Jun;10:063015(10pages). https://doi.org/10.1088/1367-2630/10/6/063015
  33. Pryor RW. Multiphysics Modeling Using COMSOL 4. Har/DVD ed. Herndon: Mercury Learning & Information; c2011, 700 p.
  34. Storrs C. Earthquake-proof skyscrapers hide from seismic waves. [Internet]. U. S. A.: Popular Science; 2009 Oct. Available from: http://www.popsci.com/science/article/2009-10/earthquake-proof-skyscraper.
  35. Brule S, Javelaud EH, Enoch S, Guenneau S. Experiments on Seismic Metamaterials: Molding Surface Waves. Phys Rev Lett. 2014 Mar;112(13):133901(5pages). https://doi.org/10.1103/PhysRevLett.112.133901
  36. Sheng P. Viewpoint: A Step Towards a Seismic Cloak. Physics 2014 Mar;7:34(3pages). https://doi.org/10.1103/Physics.7.34
  37. Piore A. How to Make Anything Disappear, 3.Earthquake Cloak [Internet]. U. S. A.: Discover Magazine; 2012 Jul/Aug. Available from: http://discovermagazine.com/2012/jul-aug/06-how-to-make-anything-disappear