• Title/Summary/Keyword: Zakharov-Shabat Equation

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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;박의준
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.14 no.12
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    • pp.1283-1291
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    • 2003
  • 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.