General scaling limitations of ground-plane and isolated-object cloaks

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 84, Issue 2, 2011, Pages

  Hashemi, Hila ^a   Oskooi, A ^b   Joannopoulos, J D ^a   Johnson, Steven G ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EFFECTIVE CROSS SECTIONS; GROUND PLANES; INVISIBILITY CLOAKING; LOWER BOUNDS; OBJECT SIZE; OBJECT THICKNESS; SCALING LIMITATION;

LIGHT REFRACTION; REFRACTIVE INDEX; REFRACTOMETERS;

INVISIBILITY CLOAKS;

EID: 80051659997     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.84.023815     Document Type: Article

References (56)

1. J. B. Pendry, D. Schurig, and D. R. Smith, Science SCIEAS 0036-8075 10.1126/science.1125907 312, 1780 (2006). (Pubitemid 43962892)
2. D. A. B. Miller, Opt. Express OPEXFF 1094-4087 10.1364/OE.14.012457 14, 12457 (2006). (Pubitemid 44907590)
3. J. Li and J. B. Pendry, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.203901 101, 203901 (2008).
4. H. Hashemi, B. Zhang, J. D. Joannopoulos, and S. G. Johnson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.253903 104, 253903 (2010).
5. T. Han, C.-W. Qiu, J. Hao, X. Tang, and S. Zouhdi, Opt. Express OPEXFF 1094-4087 10.1364/OE.19.008610 19, 8610 (2011).
6. R. Liu, C. Ji, J. J. Mock, J. Y. Chin, T. J. Cui, and D. R. Smith, Science SCIEAS 0036-8075 10.1126/science.1166949 323, 366 (2009).
7. H. F. Ma, W. X. Jiang, X. M. Yang, X. Y. Zhou, and T. J. Cui, Opt. Express OPEXFF 1094-4087 10.1364/OE.17.019947 17, 19947 (2009).
8. L. H. Gabrielli, J. Cardenas, C. B. Poitras, and M. Lipson, Nature Photonics OPEXFF 1749-4885 10.1038/nphoton.2009.117 3, 461 (2009).
9. J. Valentine, J. Li, T. Zentgraf, G. Bartal, and X. Zhang, Nature Mater. 1476-1122 10.1038/nmat2461 8, 568 (2009).
10. J. H. Lee, J. Blair, V. A. Tamma, Q. Wu, S. J. Rhee, C. J. Summers, and W. Park, Opt. Express OPEXFF 1094-4087 10.1364/OE.17.012922 17, 12922 (2009).
11. T. Ergin, N. Stenger, P. Brenner, J. B. Pendry, and M. Wegener, Science SCIEAS 0036-8075 10.1126/science.1186351 328, 337 (2010).
12. H. F. Ma and T. J. Cui, Nature Commun. 2041-1723 10.1038/ncomms1126 1, 124 (2010).
13. B. Zhang, Y. Luo, X. Liu, and G. Barbastathis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.033901 106, 033901 (2011).
14. X. Chen, Y. Luo, J. Zhang, K. Jiang, J. B. Pendry, and S. Zhang, Nature Commun. PRLTAO 2041-1723 10.1038/ncomms1176 2 (2011).
15. M. Gharghi, C. Gladden, T. Zentgraf, Y. Liu, X. Yin, J. Valentine, and X. Zhang, Nano Letter 1530-6984 10.1021/nl201189z 11, 2825 (2011).
16. T. Ergin, J. C. Halimeh, N. Stenger, and M. Wegener, Opt. Express OPEXFF 1094-4087 10.1364/OE.18.020535 18, 20535 (2010).
17. X. Xu, Y. Feng, Y. Hao, J. Zhao, and T. Jiang, Appl. Phys. Lett. 10.1063/1.3259775 95, 184102 (2009).
18. B. Zhang, T. Chan, and B. I. Wu, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.104.233903 104, 233903 (2010).
19. N. I. Landy, N. Kundtz, and D. R. Smith, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.193902 105, 193902 (2010).
20. S. A. Cummer, B. I. Popa, D. Schurig, D. R. Smith, and J. Pendry, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.74.036621 74, 036621 (2006). (Pubitemid 44495039)
21. H. Chen, Z. Liang, P. Yao, X. Jiang, H. Ma, and C. T. Chan, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.241104 76, 241104 (R) (2007).
22. D.-H. Kwon and D. H. Werner, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2830698 92, 013505 (2008).
23. W. X. Jiang, T. J. Cui, G. X. Yu, X. Q. Lin, and Q. Cheng, J. Phys. D JPAPBE 0022-3727 10.1088/0022-3727/41/8/085504 41, 085504 (2008). (Pubitemid 351591042)
24. B. Kanté, A. de Lustrac, J.-M. Lourtioz, and S. N. Burokur, Opt. Express OPEXFF 1094-4087 10.1364/OE.16.009191 16, 9191 (2008).
25. H. Ma, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3095436 94, 103501 (2009).
26. M. Yan, Z. Ruan, and M. Qiu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.233901 99, 233901 (2007). (Pubitemid 350212774)
27. Y. Huang, Y. Feng, and T. Jiang, Opt. Express OPEXFF 1094-4087 10.1364/OE.15.011133 15, 11133 (2007). (Pubitemid 47360547)
28. P. Zhang, Y. Jin, and S. He, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3021067 93, 243502 (2008).
29. F. Zolla, S. Guenneau, A. Nicolet, and J. B. Pendry, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.32.001069 32, 1069 (2007). (Pubitemid 46557620)
30. R. S. Tucker, P. C. Ku, and C. J. Chang-Hasnain, Electron. Lett. ELLEAK 0013-5194 10.1049/el:20057426 41, 208 (2005). (Pubitemid 40384929)
31. B. L. Zhang, H. S. Chen, and B. I. Wu, Progress In Electromagnetics Research ELLEAK 1559-8985 10.2528/PIER09100704 97, 407 (2009).
32. T. Han, C.-W. Qiu, and X. Tang, Appl. Phys. Lett. 0031-9007 10.1063/1.3493182 97, 124104 (2010).
33. D. Schurig, J. B. Pendry, and D. R. Smith, Opt. Express OPEXFF 1094-4087 10.1364/OE.14.009794 14, 9794 (2006).
34. C. Qiu, L. Hu, B. Zhang, B. I. Wu, S. G. Johnson, and J. D. Joannopoulos, Opt. Express OPEXFF 1094-4087 10.1364/OE.17.013467 17, 13467 (2009).
35. U. Leonhardt, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/7/118 8, 118 (2006). (Pubitemid 44156741)
36. Z. Ruan, M. Yan, C. W. Neff, and M. Qiu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.113903 99, 113903 (2007). (Pubitemid 47429413)
37. W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, Nature Photonics PRLTAO 1749-4885 10.1038/nphoton.2007.28 1, 224 (2007).
38. A. Nicolet, D. Zolla, and S. Guenneau, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.33.001584 33, 1584 (2008).
39. H. Chen and C. T. Chan, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.2967815 104, 033113 (2008).
40. U. Leonhardt and T. Tyc, Science SCIEAS 0036-8075 10.1126/science.1166332 323, 110 (2009).
41. C. Argyropoulos, E. Kallos, and Y. Hao, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.81.016611 81, 016611 (2010).
42. B. Zhang and B. I. Wu, Opt. Lett. 0146-9592 10.1364/OL.35.002681 35, 2681 (2010).
43. X. Liu, C. Li, K. Yao, X. Meng, W. Feng, B. Wu, and F. Li, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3263149 95, 191107 (2009).
44. I. I. Smolyaninov, Y. J. Hung, and C. C. Davis, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.33.001342 33, 1342 (2008).
45. D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, Science SCIEAS 0036-8075 10.1126/science.1133628 314, 977 (2006). (Pubitemid 44749939)
46. B. Kanté, D. Germain, and A. de Lustrac, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.201104 80, 201104 (2009).
47. W. Li, J. Guan, Z. Sun, W. Wang, and Q. Zhang, Opt. Express OPEXFF 1094-4087 10.1364/OE.17.023410 17, 23410 (2009).
48. H. Chen, B. I. Wu, B. Zhang, and J. A. Kong, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.063903 99, 063903 (2007). (Pubitemid 47230780)
49. I. I. Smolyaninov, V. N. Smolyaninova, A. V. Kildishev, and V. M. Shalaev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.213901 102, 213901 (2009).
50. B. Zhang, Ph.D. thesis, Massachusetts Institute of Technology, 2009 (unpublished).
51. R. V. Kohn, D. Onofrei, M. S. Vogelius, and M. I. Weinstein, Commun. Pure Appl. Math. 0010-3640 10.1002/cpa.20326 63, 973 (2010).
52. L. N. Trefethen and D. B. III, Numerical Linear Algebra (SIAM, Philadelphia, 1997).
53. J. D. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, New York, 1998).
54. S. G. Johnson, M. L. Povinelli, M. Soljačić, A. Karalis, S. Jacobs, and J. D. Joannopoulos, Appl. Phys. B APBOEM 0946-2171 10.1007/s00340-005-1823-4 81, 283 (2005). (Pubitemid 41118903)
55. M. P. do Carmo, Riemannian Geometry, Mathematics: Theory and Applications (Birkhäuser, Boston, 1992).
56. L. M. Nicolai and G. E. Carichner, Fundamentals of Aircraft and Airship Design (American Institute of Aeronautics and Astronautics, Reston, VA, 2010).