非均匀三腔谐振腔高频特性的数值分析

 用SUPERFISH程序对非均匀三腔谐振腔的高频特性进行了数值分析。分析了各腔长度的变化对类TM₀₁₀ 2π/3模式及其频率、各腔纵向场分量Ez大小及Ez径向分布的影响。结果表明：当各腔长度变化时，该模式只在一定范围内存在，且频率变化不大，频率的最大值和最小值相差小于4%；当该模式存在时，第一腔长度越小，则第一腔的纵向场分量越大；当第一腔长度不变时，第三腔的纵向场分量随着第二腔长度的增大而增大，而第一，二腔纵向场分量则随之变小；各腔长度变化对纵向场分量的径向分布影响很小。     

具有二维光子带隙结构的太赫兹谐振腔的谐振特性

采用数值计算方法,模拟了具有二维光子带隙结构的太赫兹频段谐振腔的谐振模式场分布,计算了这种谐振腔的品质因数,详细分析了光子晶体结构、缺陷腔几何参量对谐振特性的影响.计算得到频率落在光子晶体禁带内的单一、高阶谐振模式,且缺陷腔横向尺寸越大,谐振模式的阶数越高.这种谐振腔具有很高的品质因数,腔体的纵向长度对品质因数的影响较大.     

同轴边加载三腔谐振腔高频特性

 研究了同轴边加载三腔谐振腔的高频特性,从圆柱坐标系下的Borgnis位函数出发求解各个区域的场表达式,利用边界条件和相邻区域公共界面上的匹配条件,导出同轴边加载三腔谐振腔内角向均匀的TM模式的色散关系和各个区域场分布的解析表达式。将求得的谐振频率和数值模拟所得到的谐振频率进行了对比验证,求解所得谐振模式的频率和场分布与数值模拟的结果基本一致。     

磁绝缘线振荡器谐振腔的高频特性研究

 利用数值方法计算了磁绝缘线振荡器(MILO)主慢波结构谐振腔和扼流腔的谐振频率和场分布。结果表明：当主慢波结构腔内半径为4.6 cm,扼流腔内半径为4.2 cm，阴极半径为3 cm时，MILO工作在3.6~4.4 GHz频率范围，扼流片可以阻止微波功率向脉冲功率源泄漏，这有利于提高器件微波输出的功率；4.5~4.9GHz频段为慢波结构的阻带，微波在该频段截止。计算了C波段MILO开放腔的谐振频率，当模式分别为3π/8,π/2,5π/8,3π/4时，其谐振频率分别为3.18,3.76,4.00,4.11 GHz;并通过实验测出了开放腔的谐振频率,其相应的值分别为3.80,3.94,4.08.4.18 GHz, Q分别为194，143，231，468。数值计算的谐振频率与实验测出的频率基本一致。     

双间隙输出腔开放腔的高频特性分析

 建立了S波段相对论速调管放大器双间隙输出腔开放腔的3维模型。采用时域有限差分法，通过监测激励电流源的响应计算了该双间隙输出腔的谐振频率、有载Q值、场分布以及特性阻抗，并分析了腔体结构尺寸对谐振频率、有载Q值和特性阻抗的影响。研究表明：腔体半径对开放腔的谐振频率影响很大，耦合孔尺寸对腔体谐振频率的影响较小；随着耦合孔张角增加，有载Q值逐渐减小；随着腔体半径增大、间隙的减小，腔体特性阻抗降低。研究结果可为S波段强流相对论速调管放大器双间隙输出腔的设计提供理论依据。     

X波段六腔渡越管振荡器的高频特性研究

 从麦克斯韦方程出发，采用时域有限差分法（FDTD）和离散傅里叶变换（DFFT）相结合的方法，通过数值计算得出了六腔开放式谐振腔中前四个谐振频率和场分布，计算出的谐振频率与实验测量结果基本相同。比较了开放腔和封闭腔谐振频率，验证了TEM波吸收边界条件，并在实际编程计算中得以应用。计算结果为六腔渡越管振荡器的机理研究提供了依据。     

三腔渡越管振荡器高频结构的解析研究

 从圆柱坐标系下Borgnis位函数的齐次标量Helmholtz方程出发,引入慢波驻波概念及其场表达式,利用Borgnis位函数的边界条件及相邻子区公共界面上的场匹配条件,导出了三腔渡越管振荡器内角向均匀TM模的色散关系及场分布的解析表达式。运用该解析法求得三腔渡越管振荡器的谐振频率与实验中测得的微波频率一致,求得的场分布与数值法得到的场分布十分吻合。     

利用场分布计算单腔微波参量

介绍了利用加速管的场分布计算单腔微波参量的一种方法. 在已知耦合腔链各本征模式的谐振频率和电场分布的条件下，可以通过回路方程组求出耦合腔链的单腔频率和腔间耦合系数. 这种方法给加速管设计和调谐带来了很大帮助，在加速腔数目较多或者结构非均匀的条件下尤为有效.     

电子注对谐振腔中TM模式谐振频率和电磁场分布的影响

将电子注视为等离子体柱,从填充等离子体柱的谐振腔的物理模型出发,推导了圆柱腔填充中心电子注时TM0m0模式的特征方程,并重点分析了填充电子注的圆柱腔中TM010模式和TM020模式的谐振频率和电磁场分布随等离子频率的变化情况。研究结果表明,随着电子注的等离子体频率不断增大,谐振频率也不断增大,谐振腔内电场和磁场的分布也随之发生改变。当电子注的等离子体频率超过谐振腔的谐振频率时,谐振腔内的电磁场分布将发生很大的变化,出现了电子注内外电场方向相反和趋肤效应等现象。     

利用场耦合理论研究开放微波谐振腔

利用电磁场的等效原理，将一个开放微波腔等效于一个闭合边界微波腔（即封闭微波腔）和开放边界（即行波吸收边界）两部分，然后利用等效封闭微波腔的本征模式及其与开放边界的耦合，建立了关于开放微波腔模式（即模式场分布、频率、品质因子）的耦合方程组，其中开放边界为行波吸收边界.以X波段六腔渡越振荡管为例进行分析，将该振荡管等效为封闭微波腔和同轴输出结构两部分，用SUPPERFISH获得封闭腔的各个模式场分布及频率，然后根据封闭微波腔与开放边界的耦合，求得六腔渡越振荡管的工作模频率为9.25GHz，品质因子为115.2，与实验测量结果基本符合. 关键词： 微波腔 本征模式 场耦合 渡越振荡管     

缓变截面波导开放谐振腔的微波网络分析

本文利用微波网络理论分析了缓变截面波导开放谐振腔,给出了任意纵剖面形状开放腔的传输Q值的一般公式。估计了波导壁欧姆损耗对Q值的影响。简单讨论了谐振频率修正问题。并具体推导了双圆锥腔和圆柱形开放腔的传输Q值的计算公式。 关键词：     

Normal modes and quality factors of shielded composite dielectric spherical resonators

Electromagnetic field analysis of shielded composite dielectric spherical resonator in which the dielectric sphere is composed of two concentric spheres with different dielectric materials has been made. Characteristic equations for the TE_nmℓ and TM_nmℓ modes have been derived. From these characteristic equations, the resonant frequencies and quality factors have been calculated using numerical method. Computations of the resonant frequencies and quality factors have been made for resonators with parameters suitable for the optical and microware regions. In this paper we have presented the analysis and the results obtained from the numerical computations for shielded composite dielectric spherical resonator in which the dielectric sphere is composed of two concentric spheres with different dielectric materials. Starting from the Maxwell’s equations for such a resonators have been derived and resonant frequencies and quality factor’s have been calculated for the TE_nmℓ and TM_nmℓ modes using numerical method.     

Cold tests of open coaxial resonators in the range 9–17 GHz

A study of selective properties of coaxial open cylindrical resonators have been conducted experimentally and compared with theory. The resonator consists of an inner circular cylinder symmetrically located inside an outer weakly irregular open waveguide. Several fundamental TE modes were identified over the range 9 to 17 GHz through measurements of the resonant frequencies and the associated loaded quality factors. It has been verified that the structure and the number of resonant modes are both strongly dependent on the diameter of the coaxial insert. Such an electrodynamical system proves to be useful in guided wave applications requiring, for example, filters, frequency-tunable resonators and devices for analyzing the modal composition of a signal.     

新型的高温超导薄膜梳齿谐振器

本文报导了一种新型结构的高温超导薄膜梳齿谐振器.我们通过改变谐振器梳齿的长度,使谐振器的谐振频率可以从800MHz到1300MHz左右,这正是我们研制的Hi-Tc rf SQUID所需要的两个频段.我们对这种新型谐振器的谐振频率与几何尺寸的关系进行了数值拟合.测试了使用该种新型谐振器的Hi-Tc rf SQUID的噪声.     

Design of MMICs employing whispering-gallery mode dielectric resonators at microwave and millimeter wave frequencies

A simple theoretical model for predicting the resonant frequencies of the modes of the whispering — gallery (WG) mode dielectric resonators MICs (Microwave Integrated Circuits) at microwave and millimetre wave frequencies is presented. The unsymmetric field distribution for WGE mode in the axial direction is taken into account. The theoretical results are found to be in good agreement with the practical results taken at microwaves C-X bands. In addition, the variation of resonant modes against dielectric resonator's dimensions and dielectric constant is modelled. The effect of the width of dielectric substrate on resonant modes is also illustrated.     

Exact solution of resonant modes in a rectangular resonator

The resonant modes of rectangular two-dimensional optical resonators were analyzed exactly. Based on the characteristics of the Bessel function, the resonant frequencies of the rectangular microcavities are expressed in a simple way. In addition, a simple rule to judge when the finite length of a rectangular resonator can be considered infinite is given in realistic applications. The solution that is presented should be useful in possible applications of the rectangular resonators as filters for dense wavelength-division multiplexing.     

Manipulating electromagnetic resonances in meta-molecules with double split ring resonators

We proposed meta-molecules structure composed of stacked double split ring resonators (DSRRs) and studied its electromagnetic resonances in the optical frequency range. We demonstrated that, for the first order plasmonic modes, the coupling between the outer and the inner SRRs in plane strongly influences on the resonant frequency splitting of the stacked DSRRs. And their resonant dips change with the arrangement of SRRs. However, the resonant frequencies for the high order plasmonic modes always remain immobile as the configuration varies. Our investigation offers an effective way to manipulate the resonant behavior in metamaterials.     

Disorder in optical metamaterials made of silver nanospirals

We report on a numerical study of the optical properties of silver square nanospirals. The resonant modes of the nanospirals presented current distributions similar to those of U-shaped resonators. The resonance frequencies of the ‘electric’ modes were relatively insensitive to coupling, except for the shortest distance, whereas for the ‘magnetic’ modes they steadily increased with coupling. Aperiodicity in the strong coupling regime did not modify the strength and resonance frequency of all modes as compared to the case of periodic arrays.     

Experimental study of coupled vibration in a finite periodic dual-layered structure with transverse connection

The analytical equations of the transfer matrix method are further derived for the multi-coupled vibration of flexural and longitudinal waves in a periodic dual-layered beam structure with connection branches, with full consideration given to the flexural and longitudinal motions that are tri-coupled at each connection. Measurements of mobilities at the junctions on the uni-layered beam and the cross-layered beam are made. The numerical results agree well with the experimental results at all frequencies from 10 to 2000 Hz, which verifies the theoretical methodology for the multi-coupled vibration in a finite dual-layered beam. The cross-layer energy transmission is calculated, which reveals that the transmitted longitudinal energy is enhanced not only at the longitudinal resonant modes but also at the flexural resonant modes of the connection branches due to the structural wave coupling. The flexural energy is excited by wave coupling and becomes stronger at the longitudinal resonant modes and the flexural resonant modes of the connection branches. The cross-layer vibration motions from coupled waves in the branches can be effectively controlled by the attached cantilevers with mass at the resonance modes. This method can be used to control the structure-borne sound transmission in multi-layer beam structures.     

Resonant frequencies and quality factors in lossy NRD cylindrical resonators

In this paper the fundamental effects of losses on resonant parameters (frequencies and quality factors) are analyzed for circular-cylindrical dielectric resonators inserted between metal plates, in the configuration also called NRD (Non-Radiative Dielectric).Power dissipations are considered both in the dielectric and in the conductors. Complex resonant frequencies and closed-form expressions for the relevant quality factors are derived rigorously for arbitrary resonant modes, even without circular symmetry. Numerical results are presented and discussed, making also use of experimental data obtained by means of a suitable NRD set-up.The present analysis accurately provides the basic information for a more realistic design of up-to-date millimeter-wave frequency-selective devices in NRD circuitry.