Journal of Advanced Navigation Technology (한국항행학회논문지)

The Korean Navigation Institute (한국항행학회)
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Solution of TE Scattering by a Conductive Strip Grating Over the Grounded Two Dielectric Layers with Edge Boundary Condition

모서리 경계조건을 만족하는 접지된 2개 유전체층 위의 도체띠 격자구조에 의한 TE 산란의 해

  • Received : 2012.10.26
  • Accepted : 2013.04.30
  • Published : 2013.04.30
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Abstract

In this paper, the TE (Transverse Electric) scattering problems by a perfectly conducting strip grating over a grounded two dielectric layers with edge boundary condition are analyzed by applying the FGMM (Fourier Galerkin Moment Method). For the TE scattering problem, the induced surface current density is expected to the zero 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 Chebyshev polynomials of the second kind and the functions of appropriate edge boundary condition. The numerical results shown the fast convergent solution and good agreement compared to those of the existing papers.

본 논문에서는 모서리 경계조건을 만족하는 접지된 2개의 유전체층 위의 완전도체띠 격자구조에 의한 TE (Transverse Electric)산란 문제를 수치해석 방법인 FGMM (Fourier Galerkin Moment Method)를 이용하여 해석하였다. TE 산란에 대하여 유도되는 표면 전류밀도는 스트립 양 끝에서 0의 값이 기대되며, 이때 도체띠에 유도되는 표면 전류밀도는 2종 Chebyshev 다항식과 적절한 모서리 경계조건을 만족하는 함수의 곱의 급수로 전개하였다. 수치결과들은 기존 논문들과 비교하여 급속한 수렴해와 좋은 일치를 보였다.

Keywords

References

  1. M. Ando and K. Takei, "Reflection and Transmission Coefficient of a Thin Strip Grating for Antenna Application," IEEE Trans. Antennas Propagat., vol. AP-35, no.4, pp. 367-371, 1987. https://doi.org/10.1109/TAP.1987.1144112
  2. J. H. Richmond, "On the Edge Mode in the Theory of TM scattering by a Strip or Strip Grating," IEEE Trans. Antennas Propagat., vol. AP-28, pp. 883-887, 1980. https://doi.org/10.1109/TAP.1980.1142427
  3. R. Mittra and R. C. Hall, "Scattering from a Periodic Array of Resistive Strips," IEEE Trans. Antennas Propagat., vol. AP-33, pp. 1009-1011, 1985. https://doi.org/10.1109/TAP.1985.1143706
  4. H. A. Kalhor, "Electromagnetic Scattering by a Dielectric Slab Loaded with a Periodic Array of Strips Over a Grounded Plane," IEEE Trans. Antennas Propagat.., vol. AP-36 no. 1, pp. 147-151, 1988.
  5. U. J. Yoon and S. I. Yang, "E-Polarized Electromagnetic Scattering by a Resistive Strip Grating with a Grounded Dielectric Layer Using Fourier-Galerkin Moment Method," KITE Journal of Electronics Engineering, vol. 7, no. 2, pp. 15-19, 1996.
  6. Y.S Choi and S. I. Yang, "Analysis of the Electromagnetic Scattering of Resistive Strip Grating with Uniform Resistivity on a Grounded Dielectric Layer-H-Polarization Case," Journal of KICS, vol. 31, no. 3A, pp. 321-327, 2006.
  7. U. J. Yoon, "Analysis of TE Scattering by a Resistive Strip Grating Over a Grounded Dielectric Plane," Journal of Korea Navigation Institute, vol. 10, no. 3, pp. 198-204, 2006.
  8. U. J. Yoon, "Solution of TE Scattering by a Resistive Strip Grating Over the Grounded Dielectric Multilayers," Journal of KICS, vol. 31, no. 9A, pp. 913-919, 2006.
  9. U.J. Yoon, "Solution of TE Scattering by a Perfectly Conducting Strip Grating Over the Grounded Two Dielectric Layers Applying Fourier-Galerkin Moment Mthode," Journal of Korea Navigation Institute, vol. 16, no. 4, pp. 635-640, 2012. https://doi.org/10.12673/jkoni.2012.16.4.635
  10. I. S. Gragshteyn and I. M. Ryzhik, Talble of Integrals, Series, and Products, Academic Press, 1980.

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