皱纹波导和皱纹槽波导的慢波特性分析
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摘要
全金属结构的皱纹波导及皱纹槽波导是慢波系统中非常重要的一类,分析其慢波特性具有重要的理论意义和现实意义。本文用模匹配法分析了矩形皱纹圆波导和矩形皱纹椭圆波导,用傅立叶级数展开慢波结构边界的方法分析了正弦皱纹椭圆波导和单边任意皱纹矩形波导,用模匹配法和傅立叶级数展开慢波结构边界相结合的方法分析了正弦皱纹圆形槽波导。对部分皱纹波导推导出了传输HE模的频散方程,重点分析了每一种皱纹波导传输TM模的慢波特性,得到了频散曲线以及通带与阻带随结构参数的变化曲线,对部分皱纹波导的衰减特性进行了分析。将本文计算结果与相关理论值做了比较与验证,所得结果对分析、设计、加工以这些结构为基础的微波器件,有重要的参考意义。
通过对皱纹波导和皱纹槽波导的分析发现,慢波系统中存在一系列的离散阻带和离散通带,而且不同的结构参数对通带和阻带的影响不同,通过设定不同的结构参数,可以改变通带和阻带的中心频率及带宽,以实现在某一特定频段的滤波。因此,慢波系统不仅可以应用在高功率微波源和线性加速器中,也可以应用在微波滤波器中。
All-metal structural corrugated waveguides and corrugated groove waveguides are a very important kind of slow-wave system, and the study on slow-wave characteristics of these waveguides has great theoretical and practical significance. In this paper, the rectangular corrugated circular waveguide and rectangular corrugated elliptic waveguide are analyzed by using mode-matching method. The sinusoidal corrugated elliptic waveguide and one side arbitrary corrugated rectangular waveguide are studied by expanding the boundary of slow-wave structure in Fourier series form. The sinusoidal corrugated circular groove waveguide is analyzed by combining mode-matching method and expanding the boundary in Fourier series form. Dispersion equations of some corrugated waveguides for transmitting HE mode have been derived. Slow-wave characteristics of TM mode for each corrugated waveguide are particularly analyzed. The dispersion characteristics as well as the curves of pass-band and stop-band characteristics versus structural parameters are obtained. Attenuation characteristics for some corrugated waveguides are also analyzed. The computational results have been compared and verified with related theoretical results. The obtained outcomes are of important reference significance to the analysis, design and manufacture for microwave devices based on these structures.
By analyzing corrugated waveguides and corrugated groove waveguides, it is observed that there are a series of discrete pass-band and stop-band in slow-wave systems. It is also found that different structure parameters have different influence on the pass-band and stop-band. By setting different structure parameters, different central frequencies and bandwidths of pass-band and stop-band can be obtained to realize a filter of a special frequency band. So slow-wave systems can be applied not only in microwave generators with high power and linear accelerators, but also in microwave filters.
通过对皱纹波导和皱纹槽波导的分析发现,慢波系统中存在一系列的离散阻带和离散通带,而且不同的结构参数对通带和阻带的影响不同,通过设定不同的结构参数,可以改变通带和阻带的中心频率及带宽,以实现在某一特定频段的滤波。因此,慢波系统不仅可以应用在高功率微波源和线性加速器中,也可以应用在微波滤波器中。
All-metal structural corrugated waveguides and corrugated groove waveguides are a very important kind of slow-wave system, and the study on slow-wave characteristics of these waveguides has great theoretical and practical significance. In this paper, the rectangular corrugated circular waveguide and rectangular corrugated elliptic waveguide are analyzed by using mode-matching method. The sinusoidal corrugated elliptic waveguide and one side arbitrary corrugated rectangular waveguide are studied by expanding the boundary of slow-wave structure in Fourier series form. The sinusoidal corrugated circular groove waveguide is analyzed by combining mode-matching method and expanding the boundary in Fourier series form. Dispersion equations of some corrugated waveguides for transmitting HE mode have been derived. Slow-wave characteristics of TM mode for each corrugated waveguide are particularly analyzed. The dispersion characteristics as well as the curves of pass-band and stop-band characteristics versus structural parameters are obtained. Attenuation characteristics for some corrugated waveguides are also analyzed. The computational results have been compared and verified with related theoretical results. The obtained outcomes are of important reference significance to the analysis, design and manufacture for microwave devices based on these structures.
By analyzing corrugated waveguides and corrugated groove waveguides, it is observed that there are a series of discrete pass-band and stop-band in slow-wave systems. It is also found that different structure parameters have different influence on the pass-band and stop-band. By setting different structure parameters, different central frequencies and bandwidths of pass-band and stop-band can be obtained to realize a filter of a special frequency band. So slow-wave systems can be applied not only in microwave generators with high power and linear accelerators, but also in microwave filters.
引文
[1]张克潜,李德杰.微波与光电子学中的电磁理论[M].北京:电子工业出版社,2001.392-410.
[2]黄志洵,王晓金.微波传输线理论与实用技术[M].北京:科学出版社,1996.347-355.
[3]陈孟尧,许福永,赵克玉.电磁场与微波技术[M].北京:高等教育出版社,1989.262-294.
[4]W.Walkinshaw.Theoretical design of linear-accelerator for electrons[J].Proc.Phys.Soc.61,1948,547-553.
[5]G.H.Bryant.Propagation in corrugated waveguides[J].Proc.IEE,1969,116(2):203-213.
[6]Y.Carmel and H.Guo.Novel method for determining the electromagnetic dispersion relation of periodic slow wave structures[J].Applied Physics Letter,1990,57(13):1304-1306.
[7]K.Ogura and K.Minami.Analysis on field lines and poynting vectors in corrugated wall waveguides[J].J.Phys.Soc.Japan,1992,61(11):3966-3976.
[8]W.Main and Y.Carmel.Electromagnetic properties of open and closed overmoded slow-wave resonators for interaction with relativistic electron beams[J].IEEE Transactions on Plasma Science,1994,22(5):566-577.
[9]Joaquim Jose Barroso,Joaquim Paulino Leite Neto,and Konstantin G Kostov.Examining by the rayleigh-fourier method the cylindrical waveguide with axially rippled wall[J].IEEE Transactions on Plasma Science,2003,31(4):752-764.
[10]赵会芳,钦耀坤.波纹圆波导的特征方程.光纤与电缆及其应用技术[J],1993,(5):9-12.
[11]谢鸿全,鄢扬.波纹波导色散特性的分析与测试[J].哈尔滨工业大学学报,2006,38(1):137-139.
[12]赵林新,杨梓强,梁正.圆柱慢波结构色散特性研究[C].中国电子学会第十四届学术年会,丹东,2003,303-306.
[13]李建清,莫元龙,周晓岚.盘荷波导慢波结构色散特性的变分分析[J].真空电子技术,2006,(3):7-10.
[14]徐江,王视环,谢继东.波纹圆波导特征值的渐近解[J].微波学报,2005,21(5):37-40.
[15]徐进,王文祥,魏彦玉,宫玉彬.椭圆波纹波导慢波特性研究[C].中国电子学会第十五届学术年会,昆明,2005,411-414.
[16]Xu Jin,Wang Wen-Xiang,Yue Ling-Na,Wei Yan-Yu and Gong Yu-Bin.Slow-wave characteristics of elliptical corrugated waveguides with a concentric circular hole[J].China Physics Letter,2006,23(1):243-246.
[17]Jin Xu,Wen-xiang Wang.Study of corrugated elliptical waveguides for slow-wave structures[J].IEEE Transactions on electron devices,2007,54(1):151-156.
[18]赵会芳,钦耀坤,张瑞英.矩形波纹波导驻波比随几何参量的变化特征[J].光纤与电缆及其应用技术,1996,(4):22-27.
[19]王冠军,宫玉彬,路志刚.矩形栅慢波系统的高频特性分析[J].强激光与粒子束,2005,17(8):1137-1140.
[20]Larry W.Epp,Daniel J.Hoppe and Daniel T.Kelley.A TE/TM modal solution for rectangular hard waveguides[J].IEEE Transactions on Microwave Theory and Techniques,2006,54(3):1048-1054.
[21]Tischer F J.A waveguide for microwave with low losses[J].Arch Electron and Uebertragang Stech,1953,11(7):592-596.
[22]Tischer F J.The groove guide,a low loss waveguide for millimeter waves[J].IEEE Trans.MTT,1963,11(9):291-296.
[23]Yang Hongsheng,Ma Jianglei,and Lu Zhongzuo.The characteristics equation and solution of circular groove guide[J].International Journal of Infrared and Millimeter Waves,1991,12(5):535-541.
[24]Ma Jianglei,and Lu Zhongzuo.The dominant mode in closed circular groove guide[J].International Journal of Infrared and Millimeter Waves,1995,16(1):231-236.
[25]Hong-Sheng Yang.An improvement on analytic accuracy of circular groove guide[J].IEEE Microwave and Wireless Components Letters,2002,12(2):57-59.
[26]Fuyong Xu,Zhongli Mei,and Keyu Zhao.Transmission characteristics with second order approximations of elliptic-groove waveguide[J].International Journal of Infrared and Millimeter Waves,1999,20(1):137-148.
[27]Fuyong Xu,Changping Shangguan,and Hongmei Ma.Transmission characteristics of a new type of closed elliptic-groove waveguide for millimeter waves[J].Microwave and Optical Technology Letters,2004,41(4):301-304.
[28]Hong-sheng Yang,Hong-hui Yan.The characteristic equation of corrugated circular groove guide[J].International Journal of Infrared and Millimeter Waves,2001,22(3):485-494.
[29]Wang Shanjin,Yang Hongsheng.Attenuation characteristics of corrugated Circular groove waveguide[J].International Journal of Infrared and Millimeter Waves,2001,22(4):615-62.
[30]Wang Shanjin,Yang Hongsheng.The further study of corrugated circular groove waveguides by using method of space harmonics[J].International Journal of Infrared and Millimeter Waves,2002,23(1):79-93.
[31]L.D.Moreland and E.Schamiloglu.Efficiency enhancement of high power vacuum BWO's using nonuniform slow wave structures[J].IEEE Transactions on Plasma Science,1994,22(5):554-565.
[32]Naqvi S A and Kerslick J S.Axial extraction of high-power microwaves from relativistic traveling wave amplifiers[J].Applied Physics Letter,1996,69(11):1550-1552.
[33]F.Hegeler and M.D.Partridge.Studies of relativistic backward-wave oscillator operation in the cross-excitation regime[J].IEEE Transactions on Plasma Science,2000,28(3):567-575.
[34]Zhan Y and Mo Y L.Rigorous analysis of the disk-loaded waveguide slow-wave structures[J].International Journal of Infrared and Millimeter Waves,2003,24(4):525-535.
[35]张善杰,沈耀春.马丢函数的数值计算[J].电子学报,1995,23(9):41-46.
[2]黄志洵,王晓金.微波传输线理论与实用技术[M].北京:科学出版社,1996.347-355.
[3]陈孟尧,许福永,赵克玉.电磁场与微波技术[M].北京:高等教育出版社,1989.262-294.
[4]W.Walkinshaw.Theoretical design of linear-accelerator for electrons[J].Proc.Phys.Soc.61,1948,547-553.
[5]G.H.Bryant.Propagation in corrugated waveguides[J].Proc.IEE,1969,116(2):203-213.
[6]Y.Carmel and H.Guo.Novel method for determining the electromagnetic dispersion relation of periodic slow wave structures[J].Applied Physics Letter,1990,57(13):1304-1306.
[7]K.Ogura and K.Minami.Analysis on field lines and poynting vectors in corrugated wall waveguides[J].J.Phys.Soc.Japan,1992,61(11):3966-3976.
[8]W.Main and Y.Carmel.Electromagnetic properties of open and closed overmoded slow-wave resonators for interaction with relativistic electron beams[J].IEEE Transactions on Plasma Science,1994,22(5):566-577.
[9]Joaquim Jose Barroso,Joaquim Paulino Leite Neto,and Konstantin G Kostov.Examining by the rayleigh-fourier method the cylindrical waveguide with axially rippled wall[J].IEEE Transactions on Plasma Science,2003,31(4):752-764.
[10]赵会芳,钦耀坤.波纹圆波导的特征方程.光纤与电缆及其应用技术[J],1993,(5):9-12.
[11]谢鸿全,鄢扬.波纹波导色散特性的分析与测试[J].哈尔滨工业大学学报,2006,38(1):137-139.
[12]赵林新,杨梓强,梁正.圆柱慢波结构色散特性研究[C].中国电子学会第十四届学术年会,丹东,2003,303-306.
[13]李建清,莫元龙,周晓岚.盘荷波导慢波结构色散特性的变分分析[J].真空电子技术,2006,(3):7-10.
[14]徐江,王视环,谢继东.波纹圆波导特征值的渐近解[J].微波学报,2005,21(5):37-40.
[15]徐进,王文祥,魏彦玉,宫玉彬.椭圆波纹波导慢波特性研究[C].中国电子学会第十五届学术年会,昆明,2005,411-414.
[16]Xu Jin,Wang Wen-Xiang,Yue Ling-Na,Wei Yan-Yu and Gong Yu-Bin.Slow-wave characteristics of elliptical corrugated waveguides with a concentric circular hole[J].China Physics Letter,2006,23(1):243-246.
[17]Jin Xu,Wen-xiang Wang.Study of corrugated elliptical waveguides for slow-wave structures[J].IEEE Transactions on electron devices,2007,54(1):151-156.
[18]赵会芳,钦耀坤,张瑞英.矩形波纹波导驻波比随几何参量的变化特征[J].光纤与电缆及其应用技术,1996,(4):22-27.
[19]王冠军,宫玉彬,路志刚.矩形栅慢波系统的高频特性分析[J].强激光与粒子束,2005,17(8):1137-1140.
[20]Larry W.Epp,Daniel J.Hoppe and Daniel T.Kelley.A TE/TM modal solution for rectangular hard waveguides[J].IEEE Transactions on Microwave Theory and Techniques,2006,54(3):1048-1054.
[21]Tischer F J.A waveguide for microwave with low losses[J].Arch Electron and Uebertragang Stech,1953,11(7):592-596.
[22]Tischer F J.The groove guide,a low loss waveguide for millimeter waves[J].IEEE Trans.MTT,1963,11(9):291-296.
[23]Yang Hongsheng,Ma Jianglei,and Lu Zhongzuo.The characteristics equation and solution of circular groove guide[J].International Journal of Infrared and Millimeter Waves,1991,12(5):535-541.
[24]Ma Jianglei,and Lu Zhongzuo.The dominant mode in closed circular groove guide[J].International Journal of Infrared and Millimeter Waves,1995,16(1):231-236.
[25]Hong-Sheng Yang.An improvement on analytic accuracy of circular groove guide[J].IEEE Microwave and Wireless Components Letters,2002,12(2):57-59.
[26]Fuyong Xu,Zhongli Mei,and Keyu Zhao.Transmission characteristics with second order approximations of elliptic-groove waveguide[J].International Journal of Infrared and Millimeter Waves,1999,20(1):137-148.
[27]Fuyong Xu,Changping Shangguan,and Hongmei Ma.Transmission characteristics of a new type of closed elliptic-groove waveguide for millimeter waves[J].Microwave and Optical Technology Letters,2004,41(4):301-304.
[28]Hong-sheng Yang,Hong-hui Yan.The characteristic equation of corrugated circular groove guide[J].International Journal of Infrared and Millimeter Waves,2001,22(3):485-494.
[29]Wang Shanjin,Yang Hongsheng.Attenuation characteristics of corrugated Circular groove waveguide[J].International Journal of Infrared and Millimeter Waves,2001,22(4):615-62.
[30]Wang Shanjin,Yang Hongsheng.The further study of corrugated circular groove waveguides by using method of space harmonics[J].International Journal of Infrared and Millimeter Waves,2002,23(1):79-93.
[31]L.D.Moreland and E.Schamiloglu.Efficiency enhancement of high power vacuum BWO's using nonuniform slow wave structures[J].IEEE Transactions on Plasma Science,1994,22(5):554-565.
[32]Naqvi S A and Kerslick J S.Axial extraction of high-power microwaves from relativistic traveling wave amplifiers[J].Applied Physics Letter,1996,69(11):1550-1552.
[33]F.Hegeler and M.D.Partridge.Studies of relativistic backward-wave oscillator operation in the cross-excitation regime[J].IEEE Transactions on Plasma Science,2000,28(3):567-575.
[34]Zhan Y and Mo Y L.Rigorous analysis of the disk-loaded waveguide slow-wave structures[J].International Journal of Infrared and Millimeter Waves,2003,24(4):525-535.
[35]张善杰,沈耀春.马丢函数的数值计算[J].电子学报,1995,23(9):41-46.