DOI QR코드

DOI QR Code

Metascreen Analysis Using Generalized Sheet Transition Conditions(GSTCs) and Babinet's Principle

Babinet의 원리와 Generalized Sheet Transition Conditions(GSTCs)를 이용한 메타스크린 해석

  • Lee, Sun-Gyu (Department of Electronic and Electrical Engineering, Hongik University) ;
  • Lee, Jeong-Hae (Department of Electronic and Electrical Engineering, Hongik University)
  • 이선규 (홍익대학교 전자전기공학과) ;
  • 이정해 (홍익대학교 전자전기공학과)
  • Received : 2018.04.03
  • Accepted : 2018.09.17
  • Published : 2018.09.30

Abstract

Using Babinet's principle and generalized sheet transition conditions(GSTCs), an analysis method for metascreens is proposed. First, the relation of a complementary screen between a metafilm and metascreen with the same dimensions was confirmed using Babinet's principle. These properties were verified by comparing the reflection coefficient of the patch and the transmission coefficient of the mesh. The patch and mesh are the basic structures of metafilms and metascreens, respectively. Based on these findings, it is also confirmed that the reflection coefficient of the patch surface calculated by GSTCs has the same value as the transmission coefficient of the mesh surface. It is expected that the proposed analysis methods can be applied to the magnitude, phase, and polarization of electromagnetic waves in the various unit structures of a given metasurface.

Acknowledgement

Supported by : 한국연구재단

References

  1. A. Ourir, A. de Lustrac, and J. M. Lourtioz, "All-metamaterial-based subwavelength cavities (${\lambda}/60$) for ultrathin directive antennas," Applied Physics Letters, vol. 88, p. 084103, Feb. 2006. https://doi.org/10.1063/1.2172740
  2. J. G. Lee, J. H. Lee, "Low-profile dual-band superstrate antenna using metasurface," Progress in Electromagnetics Research C, vol. 77, pp. 175-184, 2017. https://doi.org/10.2528/PIERC17060603
  3. D. Sievenpiper, L. Zhang, R. F. J. Broas, N. G. Alexopolous, and E. Yablonovitch, "High-impedance electromagnetic surfaces with a forbidden frequency band," IEEE Transactions on Microwave Theory and Techniques, vol. 47, no. 11, pp. 2059-2074, Nov. 1999. https://doi.org/10.1109/22.798001
  4. S. W. Lee, G. Zarrillo, and C. L. Law, "Simple formulas for transmission through periodic metal grids or plates," IEEE Transactions on Antennas and Propagation, vol. 30, no. 5, pp. 904-909, Sep. 1982. https://doi.org/10.1109/TAP.1982.1142923
  5. E. F. Kueste, M. A. Mohamed, M. Piket-May, and C. L. Holloway, "Averaged transition conditions for electromagnetic fields at a metafilm," IEEE Transactions on Antennas and Propagation, vol. 51, no. 10, pp. 2641-2651, Oct. 2003. https://doi.org/10.1109/TAP.2003.817560
  6. C. L. Holloway, M. A. Mohamed, E. F. Kuester, and A. Dienstfrey, "Reflection and transmission properties of a metafilm: With an application to a controllable surface composed of resonant particles," IEEE Transactions on Electromagnetic Compatibility, vol. 47, no. 4, pp. 853-865, Nov. 2005. https://doi.org/10.1109/TEMC.2005.853719
  7. C. L. Holloway, E. F. Kuester, J. A. Gordon, J. O'Hara, J. Booth, and D. R. Smith, "An overview of the theory and applications of metasurfaces: The two-dimensional equivalents of metamaterials," IEEE Antennas and Propagation Magazine, vol. 54, no. 2, pp. 10-35, Apr. 2012. https://doi.org/10.1109/MAP.2012.6230714
  8. C. L. Holloway, E. F. Kuester, "Generalized Sheet Transition Conditions (GSTCs) for a metascreen-A fishnet metasurface," IEEE Transactions on Antennas and Propagation, vol. 66, no. 5, pp. 2414-2427, May 2018. https://doi.org/10.1109/TAP.2018.2809620
  9. H. G. Booker, "Slot aerials and their relation to complementary wire aerials (Babinet's principle)," Journal of the Institution of Electrical Engineers, vol. 93, no. 4, pp. 620-626, 1946.
  10. J. F. Douglas, E. J. Garboczi, "Intrinsic visocity and the polarizability of particles having a wide range of shapes," Advances in Chemical Physics, vol. 91, pp. 85-154, 1995.
  11. N. A. McDonald, "Polynomial approximations for the electric polarizabilities of some small apertures," IEEE Transactions on Microwave Theory and Techniques, vol. 33, no. 11, pp. 1146-1149, Nov. 1985. https://doi.org/10.1109/TMTT.1985.1133186
  12. N. A. McDonald, "Polynomial approximations for the transverse magnetic polarizabilities of some small apertures," IEEE Transactions on Microwave Theory and Techniques, vol. 35, no. 1, pp. 20-23, Jan. 1987. https://doi.org/10.1109/TMTT.1987.1133589
  13. C. L. Holloway, E. F. Kuester, and A. Dienstfrey, "Characterizing metasurfaces/metafilms: The connection between surface susceptibilities and effective material properties," IEEE Antennas and Wireless Propagation Letters, vol. 10, pp. 1507-1511, 2011. https://doi.org/10.1109/LAWP.2011.2182591