Generalized retrieval method for metamaterial constitutive parameters based on a physically driven homogenization approach

Physical Review B - Condensed Matter and Materials Physics

Volumn 87, Issue 23, 2013, Pages

  Liu, Xing Xiang ^a   Alù, Andrea ^a  

^a The University of Texas at Austin   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84879870787     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.87.235136     Document Type: Article

References (35)

1. D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, Science 10.1126/science.1096796 305, 788 (2004). (Pubitemid 39038401)
2. J. Huangfu, L. Ran, H. Chen, X. Zhang, K. Chen, T. M. Grzegorczyk, and J. A. Kong, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1655673 84, 1537 (2004).
3. D. R. Smith, S. Schultz, P. Markoš, and C. M. Soukoulis, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.65.195104 65, 195104 (2002).
4. X. Chen, T. M. Grzegorczyk, B.-I. Wu, J. Pacheco, Jr., and J. A. Kong, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.70.016608 70, 016608 (2004).
5. X. Chen, B.-I. Wu, J. A. Kong, and T. M. Grzegorczyk, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.046610 71, 046610 (2005). (Pubitemid 40619686)
6. J. Baker-Jarvis, E. J. Vanzura, and W. A. Kissick, IEEE Trans. Microwave Theory Tech. 0018-9480 10.1109/22.57336 38, 1096 (1990).
7. C. R. Simovski, J. Opt. 2040-8978 10.1088/2040-8978/13/1/013001 13, 013001 (2011).
8. J. Woodley and M. Mojahedi, J. Opt. Soc. Am. B JOBPDE 0740-3224 10.1364/JOSAB.27.001016 27, 1016 (2010).
9. D. R. Smith, J. G. Gollub, J. J. Mock, W. J. Padilla, and D. Schurig, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.2218033 100, 024507 (2006). (Pubitemid 44179607)
10. C. Menzel, C. Rockstuhl, T. Paul, F. Lederer, and T. Pertsch, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.195328 77, 195328 (2008).
11. X.-X. Liu, D. A. Powell, and A. Alù, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.235106 84, 235106 (2011).
12. P. A. Belov and C. R. Simovski, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72.026615 72, 026615 (2005). (Pubitemid 41520987)
13. D. R. Smith and J. B. Pendry, J. Opt. Soc. Am. B JOBPDE 0740-3224 10.1364/JOSAB.23.000391 23, 391 (2006).
14. M. G. Silveirinha, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75. 115104 75, 115104 (2007).
15. J. D. Baena, L. Jelinek, R. Marqués, and M. Silveirinha, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.013842 78, 013842 (2008).
16. C. Fietz and G. Shvets, Physica B PHYBE3 0921-4526 10.1016/j.physb.2010. 01.006 405, 2930 (2010).
17. R. A. Shore and A. D. Yaghjian, Radio Sci. 0048-6604 10.1029/2007RS003647 42, RS6S21 (2007).
18. A. Pors, I. Tsukerman, and S. I. Bozhevolnyi, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84.016609 84, 016609 (2011).
19. O. Ouchetto, C.-W. Qiu, S. Zouhdi, L.-W. Li, and A. Razek, IEEE Trans. Microwave Theory Tech. 0018-9480 10.1109/TMTT.2006.885082 54, 3893 (2006). (Pubitemid 44711626)
20. S. Zhou, W. Li, and Q. Li, IEEE Trans. Microwave Theory Tech. 0018-9480 10.1109/TMTT.2010.2042845 58, 910 (2010).
21. A. Alù, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.075153 84, 075153 (2011).
22. A. Alù, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.081102 83, 081102 (R) (2011).
23. H. Wallén, H. Kettunen, J. Qi, and A. Sihvola, Proceedings of General Assembly and Scientific Symposium, XXXth URSI, 2011 (Union Radio Scientifique Internationale, New Delhi), pp. 1-4.
24. In this paper, we use the words "effective" and "equivalent" referring to the context introduced in Refs. 21 and 22. Equivalent parameters do not retain the physical meaning of local permittivity and permeability, but only describe the bulk scattering properties of the sample. The effective parameters, on the contrary, are physical quantities that have local properties in the long-wavelength limit.
25. I. Sersic, C. Tuambilangana, T. Kampfrath, and A. F. Koenderink, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.245102 83, 245102 (2011).
26. M. G. Silveirinha, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76. 245117 76, 245117 (2007).
27. C. H. Papas, Theory of Electromagnetic Wave Propagation (Dover, New York, 1988).
28. M. G. Silveirinha and C. A. Fernandes, IEEE Trans. Antennas Propag. 0018-926X 10.1109/TAP.2004.838793 53, 347 (2005). (Pubitemid 40181790)
29. I. V. Lindell, A. H. Sihvola, S. A. Tretyakov, and A. J. Viitanen, Electromagnetic Waves in Chiral and Bi-Isotropic Media (Artech House, London, 1994).
30. X.-X. Liu and A. Alù, Metamaterials 1873-1988 10.1016/j.metmat. 2011.04.001 5, 56 (2011).
31. X.-X. Liu and A. Alù, J. Nanophoton. 1934-2608 10.1117/1.3578138 5, 053509 (2011).
32. It should be noted that strictly speaking for oblique incidence, due to lack of symmetries, the propagation in the metamaterial cannot be necessarily modeled as a purely transverse electromagnetic (TEM) mode, as implicitly assumed in (1), (5), and (6), and a suitable tensorial notation should be used to properly capture the propagation mechanisms. In this subwavelength limit, however, it is possible to prove that the TEM assumption implicitly made in this paper holds to a very good degree, justifying the present discussion.
33. A. Alù, A. D. Yaghjian, R. A. Shore, and M. G. Silveirinha, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.054305 84, 054305 (2011).
34. J. E. Sipe and J. Van Kranendonk, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.9.1806 9, 1806 (1974).
35. S. A. Tretyakov, Analytical Modeling in Applied Electromagnetics (Artech House, London, 2002).