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

The Korean Institute of Electromagnetic Engineering and Science (한국전자파학회)
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A Study on the Efficient Synthesis of Nonuniform Transmission Line Filters using Zakharov-Shabat Coupled Mode Equation

Zakharov-Shabat 결합모드 방정식을 사용한 불균일 전송선로 필터의 효율적인 합성에 관한 연구

  • 장완규 (금오공과대학 전자공학부) ;
  • 박의준 (금오공과대학 전자공학부)
  • Published : 2003.12.01
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Abstract

Nonuniform transmission lines(NTLs) with the desired frequency response can be realized by synthesizing the potential from the coupled mode Zakharov-Shabat(ZS) equation in the one-dimensional inverse scattering problem. In this study, an efficient synthesis method using the ZS equations is presented for NTLs with arbitrarily specified reflection coefficients which take the restricted potential. This method lessens the line length which plague conventional design schemes using specific windows for reflection coefficients. Furthermore solving the ZS inverse transform problem is simplified by adopting the successive approach instead of the conventional iterative method. The proposed method is compared with the conventional method using specific windows by applying to design of dispersive NTL filters, and verified by two-port analysis through the chain matrix.

원하는 주파수 응답을 갖는 불균일 전송선로(NTL)는 일차원 역산란 문제에서 결합모드 Zakharov-Shabat(ZS) 방정식으로부터 포텐셜을 합성함으로서 구현할 수 있다. 본 연구에서는 ZS 방정식을 사용하여 제한된 포텐셜범위를 갖도록 하는 임의 반사계수를 갖는 NTL을 효율적으로 합성하는 방법을 제안한다. 이 방법은 특정한 윈도우 함수를 사용한 반사계수를 목표치로 한 경우보다 합성된 선로의 길이가 짧아지는 장점을 가진다. 또한 ZS 역변환시 연쇄법을 사용함으로서 기존의 반복법에 의한 계산과정을 간소화시켰다. 분산특성을 갖는 NTL 필터 설계에 제안한 방법을 적용함으로서 특정한 윈도우를 목표치로 한 기존의 방법과 비교, 분석하였으며, chain 행렬을 사용한 2-포트 해석을 통해 타당성을 검증하였다.

Keywords

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