输入腔高频场的矩阵分析

 应用模匹配理论推导和建立了单级突变的矩阵方程，并分析给出了具有多级突变和渐变结构级联情况下波导腔体的处理方法。在理论推导的基础上，通过编制程序计算出多级突变结构波导腔体模匹配系数级联矩阵，并由矩阵参数得到所需的腔体谐振频率和Q值等物理特性参量。实际计算结果表明，由程序模拟输入腔计算得到的数据结果与腔体的冷测实验结果基本一致，为进一步的注波互作用研究和回旋速调管的设计工作提供了参考依据。     

Ka波段TE01模回旋速调管输出腔

 利用模式展开和场匹配理论,建立了具有突变结构谐振腔的散射矩阵。在此基础上编制了FORTRAN计算程序,并对Ka波段TE₀₁模回旋速调管的具有突变结构的开放式输出腔进行了数值计算。分析了回旋速调管输出腔的腔体长度和半径变化,以及输出耦合孔的半径和厚度变化对输出腔的品质因数和频率的影响。结果表明：由程序模拟输出腔所得到的计算结果与HFSS软件的结果一致;与冷测实验结果相比,品质因数的相对偏差为1.65%,谐振频率的偏差为10 MHz。     

速调管输入腔开放腔的高频特性分析与实验研究

 建立了带输入波导结构的S波段速调管放大器输入腔开放腔模型,利用3维软件对其高频特性进行了数值计算研究,并对输入腔结构进行了优化设计。利用已加工的输入腔进行了高频参数的冷测实验研究,实验中的输入腔结构尺寸与高频分析中的完全相同,实验结果与高频分析结果一致。用3维PIC程序对电子束经过该输入腔后的束流调制以及注入微波的吸收情况进行了模拟。模拟结果表明：该输入腔与微波注入波导匹配很好,注入微波能被电子束和谐振腔全部吸收,在输入腔间隙后37 cm处得到了13%的基波电流调制深度。     

回旋管同轴谐振腔模式的选择

 为了研究回旋管工作模式的选择机理,分析了圆柱波导开放式谐振腔、光滑同轴谐振腔和纵向内开槽同轴谐振腔相应波导的色散特性,进而研究了这些谐振腔内模式竞争的问题。对同轴结构波导色散方程作了相应的数值计算,结果表明,同轴谐振腔利用自身色散曲线与谐振腔内外半径比值的数值关系,能够使在开放式谐振腔内无法工作的高阶模式在其内部稳定工作。最后,以德国卡尔斯鲁厄理工学院(KIT)研制的同轴回旋管为例,进行了相应的分析计算,结果表明纵向内开槽同轴谐振腔相对于光滑同轴谐振腔更适合高阶模式的稳定工作。     

计算波导加载谐振腔谐振频率的新方法

基于边界元法,提出了一种新的简单有效的计算速调管输出系统波导加载腔的谐振频率、场分布的方法。计算了一种矩形波导加载矩形谐振腔的常见结构。利用主模TE10波激励,在波导的端口处采用推导出的Robin-type边界条件,通过扫频的方式,观测选定场点的值,极值对应系统的谐振频率。数值结果表明:波导加载谐振腔的谐振频率要低于同尺寸谐振腔的频率,谐振腔内的电场分布也受到耦合孔的影响。利用边界元法计算波导加载腔这样的半开放系统,具有实现简单、计算精确度高、数据输入少、计算时间短等优点。     

用于速调管功率合成输出结构的转向波导设计

 为X波段高峰值功率速调管功率合成输出结构设计了一个工作在9 GHz的转向波导，用于连接功率合成器和速调管输出腔。转向波导结构由中心矩形谐振腔、两个矩形耦合孔和两边的输入输出波导组成；输入和输出波导由速调管输出腔和功率合成器确定，分别工作在TE₁₀和TE₀₁模式，它们相互垂直并偏离矩形谐振腔的中心；中间的矩形谐振腔工作在TM₁₁₀，TE₁₀₁和TE₀₁₁混合模式。这种转向波导结构的3个反射零点构成了较宽的传输通带。将连接转向波导结构的功率合成器加载到速调管输出腔,计算了功率合成器加载后速调管输出腔的间隙阻抗。计算结果表明：功率合成器的加载对输出腔间隙阻抗影响不大。设计的转向波导结构很好地应用到了速调管功率合成输出结构中。     

枝节直波导与开口方环耦合谐振腔的Fano谐振特性研究

本文构建了一个枝节直波导与带开口方环耦合谐振腔.基于金属-绝缘体-金属结构的Fano谐振原理,采用有限元法分析了该波导结构的透射谱线对谐振腔结构参数的依赖关系.在开口方环与直波导间距G=90 nm,枝节高度H=140 nm时,该谐振腔结构中可以产生中心波长分别为λ=746 nm和1521 nm具有反对称线型的双重Fano共振透射峰.研究表明：左侧谐振峰值先随H增高而升高,至H=140 nm达到最大值,之后随H增高峰值缓慢减弱,直至消失.右侧谐振峰值则几乎不受H变化影响.传输谷受H影响最大,随着H增大,枝节谐振腔的传输谷向长波长方向移动,而右侧两个传输谷基本保持不变.当H=210 nm时,左边Fano谐振完全消失,只剩下右边的谐振,且谐振峰基本保持不变.设置参数化扫描,观测Fano谐振的变化,在波长1500 nm～1700 nm之间,设置最佳参数,经拟合计算得到该谐振耦合腔可以作为一个灵敏度S为1496 nm/RIU,FOM=60.1的折射率传感器.该结构可以为纳米级折射率传感器设计提供有效依据.     

基于十字连通形环形谐振腔金属-介质-金属波导的折射率传感器和滤波器

提出了由十字连通形环形谐振腔耦合两个金属-介质-金属(metal-insulator-metal, MIM)波导的结构,并用有限元法数值研究了表面等离极化激元在结构中的传输特性.通过对透射谱的研究,系统地分析了MIM结构的传感特性.结果表明,在透射光谱中有三个共振峰,即存在三种共振模式,其中透射峰与材料的折射率呈线性关系.通过对结构参数的优化,得到了折射率灵敏度(S)高达1500 nm/RIU的理论值,相应的传感分辨率为1.33×10~(-4)RIU.更重要的是,灵敏度不受结构参数变化的影响,这意味着传感器的灵敏度不受制造偏差的影响.此外,谐振波长与环形腔中心半径成线性关系,该器件在较大波长范围内实现可调谐带通滤波.透射强度随着波导与环形腔间距的增大而减小,透射带宽同时减小,因此,可以通过控制环形腔与波导的耦合距离来调谐透射强度及透射带宽.研究结果对高灵敏度纳米级折射率传感器和带通滤波器的设计以及在生物传感器方面的应用都具有一定的指导意义.     

高品质因子聚合物波导微环谐振腔滤波器

基于紫外固化胶和聚砜聚合物材料体系,采用脊形单模波导结构,理论设计并优化了聚合物波导环形谐振腔滤波器的波导截面参数、弯曲半径和耦合区波导间距等结构参数,分析了其滤波响应特性.并在此基础上,结合光刻、反应离子刻蚀等传统的微加工工艺制备了聚合物环形谐振腔滤波器,并进行了光谱测试,器件测试结果与设计基本符合.结果表明,该聚合物微环谐振腔滤波器在通信波段1550 nm附近的自由光谱范围为0.21 nm,3 dB带宽为0.04 nm,插入损耗为26 dB,消光比达到了11 dB,品质因子达到了3.87×104.该聚合物微环谐振腔滤波器可以用于光通信及光传感集成芯片.     

超导共面波导谐振腔耦合与串扰特性仿真

通过仿真对超导共面波导谐振腔的耦合与串扰进行了研究;建立了直线和不同形状蜿蜒线的超导共面波导谐振腔模型,通过对比分析,选择了合理的配置;仿真了间隙和不同长度的叉指形式的输入输出耦合电容,得到谐振频率和品质因数随其大小的变化规律;仿真了双腔之间的距离、腔的输入输出耦合电容以及腔间附加耦合电容对串扰的影响。     

基于压电探测判定激光支持燃烧波和爆轰波的点燃阈值

为了获得激光支持燃烧波和爆轰波的点燃阈值,采用压电探测器检测波长为1 064 nm的Nd:YAG激光作用在铝靶表面所产生的应变和冲压。从实验结果观察到压电信号的变化分为3个阶段,分别为光热弹性应变阶段、等离子体增强耦合阶段和激光支持爆轰波对靶表面的压力阶段,并从理论上研究了这3个阶段的激光与靶材料相互作用的机理,从而可以从压电信号是否发生跃变判断出激光支持燃烧波和激光支持爆轰波的点燃阈值,与其它方法所得到结果基本吻合。     

Conductance and Statistical Properties of Chaotic and Integrable Electron Waveguides

We show that the S-matrix for electrons propagating in a waveguide has different statistical properties depending on whether the waveguide cavity shape gives rise to chaotic or integrable behavior classically. We obtain distributions of energy level spacings for integrable and chaotic billiards shaped like the waveguide cavity. We also obtain distributions for Wigner delay times and resonance widths for the waveguide, for integrable and chaotic cavity geometries. Our results, obtained by direct numerical calculation of the electron wave function, are consistent with the predictions of random matrix theory.     

Glauber Approximation in the Laser-Assisted Charged Particle Hydrogen Atom Inelastic Collisions

The Glauber approximation in the laser-assisted inelastic collisions is derived in detail. The scattering S-matrix elements are successfully reduced so that the analytical expressions for S-matrix elements are obtained. An example for numerical calculation is given and the results are compared with the first Born approximation.     

Maxwell Lagrangian modified by string interaction

Corrections, quadratic in the string tension, to the Lagrangian of the electromagentic field, were found from Witten's field theory of open bosonic strings. The results obtained are in agreement with those previously derived from the sigma-model and the S-matrix first-quantization approach.V. V. Kuibyshev Tomsk University. Translated from Izvestiya Vysshykh Uchebnykh Zavedenii, Fizika, No. 1, pp. 7–12, January, 1993.     

COMPOSITE FIELD THEORY AND THE STRATON MODEL(Ⅱ)

On the basis of previous papers,this work discusses the theory of composite fields composed of colored stratons.Varicus equivalent representations of the S-matrix elements are given.The formulae for the transition matrix elements between states involving baryons in the theory of Straton Model are derived.Finally,the field- current relations are extended to spin 1/2 baryons and their applications are discussed.     

S-duality of color-ordered amplitudes

Recently, it has been proposed that the S-matrix elements on the world volume of an abelian D₃-brane are consistent with the Ward identity associated with the S-duality. In this paper we extend this study to the case of multiple D₃-branes. We speculate that the S-matrix elements are consistent with the S-dual Ward identity irrespective of the ordering of the external states. Imposing this symmetry on the particular case of the S-matrix element of one Kalb–Ramond, one transverse scalar and two non-abelian gauge bosons, we will find the linear S-duality transformation of the commutator of two non-abelian gauge field strengths. Using this transformation and the standard S-duality transformations of the supergravity fields, all other non-abelian S-matrix elements of one closed and three open string states can be found by the S-duality proposal. We will show that the predicted S-matrix elements are reproduced exactly by explicit calculations.     

A 9× 9 Matrix Representation of Birman-Wenzl-Murakami Algebra and Berry Phase in Yang-Baxter System

We present a 9×9 S-matrix and E-matrix. A representation of specialized Birman-Wenzl-Murakami algebra is obtained. Starting from the given braid group representation S-matrix, we obtain the trigonometric solution of Yang-Baxter equation. A unitary matrix \breve{R}(x,φ₁,φ₂) is generated via theYang-Baxterization approach. Then we construct a Yang-BaxterHamiltonian through the unitary matrix \breve{R}(x,φ₁,φ₂). Berry phase of this Yang-Baxter system is investigated in detail.     

Covariant calculation of effective cross sections in quantum electrodynamics. II

Equations are derived for expressing the exchange terms of an S-matrix element in terms of nonexchange terms. There is a discussion of a method for transforming from the matrix element to the effective cross section in which the cross section can be obtained in explicitly covariant form.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii Fizika, No. 3, pp. 85–88, March, 1975.The authors thank A. B. Kukanov for interest in this study.     

An improved variational method

In order to improve the unitarity of the S-matrix, an improved variational formulism is derived by proposing new generating functionals and adopting proper asymptotic boundary conditions for trial relative wave functions. The formulas with the weighted line-column balance for the single-channel and multi-channel scatterings, where the non-central interaction is implicitly considered, are presented. A numerical check is performed with a soluble model in a four coupled channel scattering problem. The result shows that the high accuracy and the unitarity of the S-matrix are reached.