한국전자파학회논문지 (The Journal of Korean Institute of Electromagnetic Engineering and Science)

  • 제29권8호
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  • Pages.594-598
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  • 2018
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  • 1226-3133(pISSN)
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  • 2288-226X(eISSN)
한국전자파학회 (The Korean Institute of Electromagnetic Engineering and Science)
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메타표면 반사계수 계산을 위한 정사각형 패치의 전기 분극률 계산

Calculation of Electric Polarizability of Square Patch for Calculating Reflection Coefficient of Metasurface

  • 이선규 (홍익대학교 전자전기공학과) ;
  • 이정해 (홍익대학교 전자전기공학과)
  • Lee, Sun-Gyu (Department of Electronic and Electrical Engineering, Hongik University) ;
  • Lee, Jeong-Hae (Department of Electronic and Electrical Engineering, Hongik University)
  • 투고 : 2018.02.06
  • 심사 : 2018.07.12
  • 발행 : 2018.08.31
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초록

메타표면에 가장 많이 이용되는 전기적으로 작은 크기를 갖는 정사각형 패치에 전위 연속성을 이용하여 접선방향 전기 분극률을 계산 방법을 제안하였다. 패치의 경우, 중심에 위치한 등가 전기 쌍극자에 의한 패치 표면에서의 전위가 균일하지 않기 때문에, 분극률이 한 개의 값으로 정의되지 않는 문제가 있었다. 이를 해결하기 위하여 패치 표면을 메쉬로 나누고, 각 점에서 얻어진 분극률을 평균함으로써 등가 분극률을 계산하였다. 제안된 방법, 기존의 멱급수 3차항 근사식, 실험식의 결과를 비교하여 잘 일치함을 보였다. 제안된 방법으로 구해진 분극률을 generalized sheet transition conditions(GSTCs)에 적용하여 계산된 메타표면의 반사계수의 크기와 위상이 ANSYS HFSS(high-frequency structure simulator) 모의실험 결과와 잘 일치함을 보였다.

The tangential electric polarizability of a electrically small square patch, which is commonly used in metasurfaces, is calculated using electric potential continuity. Since the potential at the patch surface is not uniform due to the equivalent electric dipole located at the center, there is a problem in that the polarizability is not uniquely defined. To obtain equivalent polarizability, the meshes in the analysis area are divided on the patch surface, and the equivalent polarizability is calculated by averaging the polarizabilities obtained at each point. The results of the proposed method, third-power series approximation, and experimental equations are compared and verified. Finally, the magnitude and phase of the reflection coefficient of patch metasurface calculated by generalized sheet transition conditions(GSTCs) are in good agreement with the HFSS simulation results.

키워드

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