Analysis of a Microstrip Substrate-Mounted Dielectric Resonator using FDTD Method and Pade Approximation

FDTD법과 Pade 근사법을 이용한 마이크로 스트립 기판 위의 유전체 공진기 해석

  • Published : 2000.06.01

Abstract

Three-Dimensional FDTD method is applied to analyze the dielectric resonator coupled with two microstrip lines. We model accurately the curved surface using Noriaki model. The frequency resolution is 106.46 MHz by the conventional FFT However it is not sufficient for determining its resonant frequency. So we introduce the Pad approximation and Stoer-Bulirsch method in order to have the high frequency resolution degree, 1.00 MHz. All results are compared with the measured data. As a result, we acquire the very precise result through the Pad approximation. And sinusoidal wave is applied. From the plot of the electric and magnetic field distribution, it is shown that the resonant mode is $TE_{01{\delta}}$ mode.

두 개의 마이크로 스트립 선로를 이용하여 결합한 유전체 공진기를 유한 차분 시간 영역(FDTD)법을 적용하여 3차원 해석을 하였다. 유전체 공진기의 표면은 곡면으로서, Noriaki model을 이용하여 정확하게 모델링 하였다. 일반적인 FFT에 의해 106.46 MHz의 주파수 해상도를 얻었지만 공진 주파수를 결정할 수가 없다. 따라서 1.00 MHz의 높은 주파수 분해능을 갖기 위해서 Pad 근사법과 Stoer-Bulirsch법을 적용하고 측정치와 비교하였다. 그 결과 Pad 근사법을 통하여 매우 정확한 공진주파수를 얻었다. 그리고 정현파를 인가하여 전자계 분포를 도시하였으며, 공진 모드가 $TE_{01{\delta}}$ 모드임을 알 수 있었다.

Keywords

References

  1. IEEE Trans. Microwave Theory Tech v.MTT-38 no.6 Resonant Frequency of Cylindrical Dielectric Resonator Placed in an MIC Environment R.K.MONGIA
  2. IEEE Trans. Antennas Propagation v.AP-14 Numerical Solution of Initial Boundary Value Problems Involving Maxwell's Equations in Isotropic Media K.S.Yee
  3. Numerical Analysis Richard L. Burden;J. Douglas Faires
  4. Computational Methods in Physics & Engineering S.S.M.Wong
  5. IEEE Trans. Microwave Theory Tech. v.MTT-44 no.9 Application of a Simple and Efficient Source Excitation Technique to the FDTD Analysis of Waveguide and Microstrip Circuits An Ping Zhao;Anti V. Raisanen
  6. Journal of computational Physics v.114 no.2 A Perfectly Matched Layer for the Absorption of Electromagnetic Waves Jean-Pierre Berenger
  7. IEEE Trans. Microwave Theory Tech. v.MTT-45 no.9 FDTD Analysis of Dielectric Resonators with Curved Surfaces Noriaki Kaneda;Bijan Houshmand;Tatsuo Itoh
  8. IEEE Trans. Microwave Theory Tech. v.MTT-36 no.12 Time-Domain Finite Difference Approach to the Calculation of the Frequency-Dependent Charateristics of Microstrip Discontinuities Xiaolei Zhang;Kenneth K. Mei