Journal of the Korea Institute of Information and Communication Engineering (한국정보통신학회논문지)

The Korea Institute of Information and Commucation Engineering (한국정보통신학회)
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Comparisons between UPML and Liao's ABC in the FDTD method for 2D Cylindrical Coordinates

2D 원통형 좌표계를 위한 FDTD 방법에서 UPML과 Liao 흡수경계조건의 비교

  • 홍익표 (공주대학교 정보통신공학부)
  • Published : 2007.06.30
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Abstract

In this paper, the comparison between UPML and Liao's absorbing boundary condition in the FDTD(Finite-Difference Time-Domain) method was performed for the analysis of the 2D cylindrical coordinate system. Generally, it is known as the absorbing characteristics of the UPML is bro than Liao's absorbing boundary condition in the 2D rectangular coordinate. The simulation results in this paper showed that Liao's original absorbing boundary condition is better than other two absorbing boundary conditions, Liao's modified condition and UPML. We concluded that more numerical, theoretical studies, simulations and verifications for various absorbing boundary conditions will be needed to get more accurate results for the design of useful 2D cylindrical microwave circuits.

본 논문에서는 2D 원통형 좌표계 구조를 해석하기 위한 전자기 수치 해석 방법 중 하나인 시간영역 유한차분법(FDTD)에서 필요한 흡수경계조건으로 UPML과 Liao 흡수경계조건을 비교하였다. 일반적인 2D 직각 좌표계에서는 UPML의 성능이 Liao의 흡수경계조건보다 우수하지만, 본 논문에서 가정한 2D 원통형 좌표계에서는 Liao에 의해 제안된 고유의 흡수경계조건이 UPML과 수정된 Liao 흡수경계조건보다 우수한 것으로 나타났다. 원통형 좌표계는 축에 대해서 대칭이기 때문에 3D 구조를 2D 구조로 가정할 수 있다는 점에서 안테나를 비롯한 다양한 마이크로파 회로의 특성해석에 널리 사용될 수 있는데, 정확한 수치해석 결과를 얻기 위해서 다양한 구조에 대한 흡수경계조건들의 비교와 검증이 필요하다.

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References

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