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在谐振腔设计过程中, 谐振腔的品质因数以及谐振频率都是需要考虑的关键因素. 传统的方法是通过减小谐振腔的尺寸或者利用高次模来提高谐振腔的谐振频率, 但是由于两种方法都有其局限性, 导致设计结果并不理想. 通过理论计算与模拟仿真相结合的方法, 对影响谐振腔谐振频率的因素进行分析, 得出了填充介质的材料属性与谐振腔谐振频率的关系. 理论计算显示: 当用“左手介质”作为谐振腔的填充物质时, 可以在不改变谐振腔尺寸的基础上提高谐振频率. 高频结构仿真器(high frequency structure simulator)的仿真数据也证明了以上结果, 从而得出谐振腔的谐振频率可以不受谐振腔尺寸的限制. 相较于传统理论而言, 研究结论有进一步的发展, 为探索和设计新颖的谐振腔提供了理论依据.The quality factor and the resonant frequency of a resonant cavity are the key factors that need to be considered in the process of resonator design. The wall of cavity is composed of conductor materials which are effective tools to generate high-frequency oscillation. The microwave cavity is widely used. From the perspective of the circuit, it has almost all the properties of LC resonance unit, such as mode selection. Therefore, it is widely used in filters, matching circuits, and antenna design. In industrial applications, the demand for high-frequency resonant cavity is relatively large. A traditional method can increase the resonant frequency of the resonant cavity by reducing the size of the cavity or using the high-order modes. However, as both approaches have their limitations, the design results are not ideal. By combining theoretical calculation and simulation, the factors that affect the resonant frequency of the resonator are analyzed. The results show the relationship between material properties of the filling medium and the resonant frequency of the cavity. Theoretical calculations show that when the left-handed materials are used as filling materials in the cavity, the resonant frequency can be increased without changing the size of the cavity. The results of high frequency structure simulator also prove the above result. Therefore, the resonant frequency of the resonator cannot be limited by the cavity size. It can be seen from the data that compared with reducing the size of the resonator or using high-order modes, filling left-handed materials can improve resonant frequency to a greater extent. The obtained conclusion shows a further progress compared with the traditional theory and provides a theoretical basis for the exploration and design of novel resonators.
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Keywords:
- resonator /
- resonant frequency /
- right-handed material /
- left-handed material
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[1] Veselago V G 1968 Sov. Phys. Usp. 10 509
[2] Caloz C 2009 Mater. Today 12 12
[3] Xu H X, Wang G M, Wang J F, Yang Z M 2012 Chin. Phys. B 21 124101
[4] Pendry J B, Holden A J, Stewart W J 1996 Phys. Rev. Lett. 76 4773
[5] Wang D, Qin F, Wen J, Chen D M, Jin X, An H S, Zhang X K 2012 Chin. Phys. B 21 084101
[6] Luo C, Johnson S G, Joannopoulos J D 2002 Appl. Phys. Lett. 81 2352
[7] Si L M, Hou J X, Liu Y, L X 2014 Acta Phys. Sin. 63 027802 (in Chinese) [司黎明, 侯吉旋, 刘埇, 吕昕 2014 物理学报 63 027802]
[8] Shelby R A, Smith D R, Schultz S 2001 Science 292 77
[9] Parazzoli C G, Greegor R B, Nielsen J A 2004 Appl. Phys. Lett. 84 3232
[10] Smith D R, Vier D C, Kroll N 2000 Appl. Phys. Lett. 77 2246
[11] Parazzoli C G, Greegor R B, Li K 2003 Phys. Rev. Lett. 90 107401
[12] Luo J R, Cui J, Zhu M 2013 Chin. Phys. B 22 067803
[13] Iyer A, Kremer P, Eleftheriades G 2003 Opt. Express 11 696
[14] Foteinopoulou S, Soukoulis C M 2003 Phys. Rev. B 67 235107
[15] Cubukcu E, Aydin K, Ozbay E, Foteinopoulou S, Soukoulis C M 2003 Nature 423 604
[16] Kong J A, Wu B I, Zhang Y 2002 Microwave Opt. Technol. Lett. 33 136
[17] Cui T J, Kong J A 2004 Phys. Rev. B 70 205106
[18] Cui T J, Kong J A 2004 Phys. Rev. B 70 165113
[19] Grzegorczyk T M, Kong J A 2006 Phys. Rev. B 74 033102
[20] Pendry J B, Holden A J, Robbins D J 1998 J. Phys.: Condens. Matter 10 4785
[21] Chang Q Z, Cun J R, Ding Z 2014 Chin. Phys. B 23 088401
[22] Xiang Y J, Wen S C, Dai X Y 2008 Chin. J. Lasers 6 002
[23] Yamada H, Chayahara A, Mokuno Y 2006 Diam. Relat. Mater. 15 1395
[24] Wang Z P, Wu L H, Zhang X L 2008 Metamaterials,2008 International Workshop on Nanjing, China, November 9-12, 2008 p91
[25] Hashemi M R, Itoh T 2008 Microwave Symposium Digest, 2008 IEEE MTT-S International Atlanta, USA, June 15-20, 2008 p331
[26] Chen B L 2005 Optimization Theory and Algorithms (Beijing: Tsinghua University Press Ltd.) pp203-243 (in Chinese) [陈宝林 2005 最优化理论与算法 (北京: 清华大学出版社) 第203-243页]
[27] Cheng E 1994 The Foundation of Microwave Technology (Xi’an: Xidian University Press) pp220-264 (in Chinese) [承恩 1994 微波技术基础 (西安: 西安电子科技大学出版社) 第220-264页]
[28] Fang S J, Jin H, Tai Y C 2009 Microwave Technology (Beijing: Beijing University of Posts and Telecommunications Press) pp109-129 (in Chinese) [房少军, 金红, 邰佑诚 2009 微波技术(北京: 北京邮电大学出版社)第109-129页]
[29] Li M Y, Liu M 2010 Detailed Design Applications HFSS Electromagnetic Simulation (Beijing: The People’s Posts and Telecommunications Press) pp267-283 (in Chinese) [李明洋, 刘敏 2010 HFSS电磁仿真设计应用详解 (北京: 人民邮电出版社) 第267-283页]
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