複合式右�左手共面波導應用於微波被動元件之設計與分析

本論文的目的在於設計與分析複合式右�左手共面波導結構應用於各種微波被動電路，包括：帶通濾波器、雙頻段帶通濾波器、多頻段帶通濾波器與方向耦合器。比較傳統短路與開路分支的Smith圖，在相同電氣長度下複合式右�左手短路與開路分支的Smith圖呈現出較短的物理長度的特性。應用此複合式右�左手共面波導結構於帶通濾波器的設計上，其面積較傳統四分之ㄧ波長並聯分支帶通濾波器縮小了約62.5%的面積。另一方面，本論文提出具有頻寬與通帶可任意改變之高彈性雙頻段與多頻段帶通濾波器的設計方法。所提出的補償技術是利用額外加入的電感與電容器來完成雙頻段與多頻段帶通濾波器的設計。本論文也同時提出寬頻方向耦合器的設計方式，其擁有3-dB的耦合數值與900的相位差。最後，利用論文中提出的各種新式人造集總共振元件建構出上述各個微波被動電路，並經過全波摸擬與實驗之相互驗證，不但驗證本論文所提出的設計方法之可行性，並且提供設計其它多頻段微波被動元件之基礎。

關鍵字

複合式右�左手共面波導；帶通濾波器；方向耦合器；補償技術

並列摘要

The purpose of this dissertation is to design and analyze the composite right/left-handed (CRLH) coplanar waveguide (CPW) with applications to various microwave passive components, including bandpass filter, dual-/multi-passsband filters, and directional coupler. In contrast to the conventional short-/open-circuited stubs, the CRLH short-/open-circuited stubs represents a shorter physical length at a definite resonant frequency. Using the CRLH CPW to construct the CRLH CPW bandpass filter, the size is 62.5% compact than the conventional quarter-wavelength shunt-stub CPW bandpass filter. We propose an analytical design methodology for synthesizing dual- and multi-passband filters with the high flexibility in various passband locations and different fractional bandwidths. The proposed compensation technology is employed to complete the dual- and multi-passband filter design by attaching additional inductors and capacitors. A wideband CRLH CPW coupler is also presented in this dissertation. Finally, various novel artificial lumped-element resonators proposed in this dissertation are used to develop the above-mentioned microwave passive circuits. All the circuits are verified by the full-wave simulation and measurement, sufficiently validating the proposed design methodology and also providing the foundation of the other multi-band microwave passive devices.

並列關鍵字

composite right/left-handed ； filter ； directional coupler ； artificial lumped-element resonators ； compensation technology

參考文獻

[1] D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett., vol. 84, no. 18, pp. 4184–4187, May 2000.

[2] T. Itoh and A. A. Oliner ed., “Special issue on metamaterial structures, phenomena, and applications,” IEEE Trans. Microw. Theory Tech., vol. 53, pp. 1413-1417, Apr. 2005.

[3] A. Lai, C. Caloz, and T. Itoh, “Composite right/left-handed transmission line metamaterials,” IEEE Microwave Mag.., vol. 5, no. 3, pp. 34-50, Sept. 2004.

[4] G. V. Eleftheriades, “Enabling RF/Microwave devices using negative-refractive-index transmission-line (NRI-TL) metamaterials,” IEEE Antennas and Propagation Mag.., vol. 49, no. 2, pp. 34-51, Apr. 2007.

[8] R. Marques, F. Martin, and M. Sorolla, Metamaterials with Negative Parameters: Theory, Design, and Microwave Applications. Wiley, Hoboken, NJ, 2008.

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複合式右�左手共面波導應用於微波被動元件之設計與分析

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