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Fast Convergent Solution of TM Scattering by Conducting Strip Grating on Two Dielectric Layers

2개 유전체층 위의 완전도체띠 격자구조에 의한 TM 산란의 급속한 수렴 해

  • Received : 2014.01.16
  • Accepted : 2014.02.13
  • Published : 2014.02.28

Abstract

In this paper, the solutions of TM (transverse magnetic) scattering problems by perfectly conducting strip grating on two dielectric layers are analyzed by applying the FGMM (Fourier Galerkin moment method) as a numerical method. For the TM scattering problem, the induced surface current density is expected to the very high value at both edges of the strip, then the induced surface current density on the strip is expanded in a series of the multiplication of the functions of appropriate edge boundary condition and the Chebyshev polynomials of the first kind. The numerical results are obtained for the magnitude of induced current density, the normalized reflected power and transmitted power. The numerical results using proposed functions were improved the convergence faster than existing exponential functions, and the numerical results shown the good agreement compared to those of the existing papers.

본 논문에서는 2개 유전체층 위의 완전도체띠 격자구조에 의한 TM (transverse magnetic)산란의 급속한 수렴 해에 대한 문제를 수치해석 방법인 FGMM (Fourier Galerkin moment method)를 이용하여 해석하였다. TM 산란에 대하여 유도되는 표면 전류밀도는 스트립 양 끝에서 매우 큰 값이 예측되므로, 이때 스트립에 유도되는 전류밀도는 적절한 모서리 경계조건을 만족하는 함수와 1종 Chebyshev 다항식의 곱의 급수로 전개하였다. 도체띠에 유도되는 전류밀도, 정규화된 반사전력 및 투과전력을 계산하였다. 제안된 함수를 사용한 수치결과는 기존의 지수함수를 사용했을 때 보다 빠르게 수렴도가 향상되었으며, 수치결과들은 기존 논문들의 결과들과 비교하여 거의 일치하였다.

Keywords

References

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  1. 접지된 2중 유전체층 사이의 완전도체띠 격자구조에 의한 TE 산란에 관한 연구 vol.16, pp.4, 2016, https://doi.org/10.7236/jiibc.2016.16.4.153