谐振的

Two basic theorems are given by researching Hamilton's two steps linear differential equations of bender equations which provide widespread application methods of normal differential operator correspond to ladder operators,then the solutions of general equations are obtained by taking advantage of the two above theorems: The energy eigenvalue equation of one-dimensional oscillator; the common state of ; the radial equation of a bondage state of hydrogen atom; the radial equation isotropic three-dimensional harmonic oscillator; the infinity deep potential well of ball

本文通过研究束缚态本征方程里的哈密顿算符的二阶线性常微分形式，给出两个基本定理并证明，提供构造二阶线性常微分算符相应的阶梯算符的普遍实用的方法，然后利用这两个定理构造量子力学中常见力学量的阶梯算符，并用以计算其能量本征值和对应本征函数：一维谐振子的能量本征方程；共同本征态；氢原子束缚态径向方程；三维各向同性谐振子的径向方程；无限深球势阱。

On the basis of comparison of several algorithms of the calculation of unstable resonator"s mode. Fast Fourier transform method is chosen in this paper. The model of multi-layer distribution of gain is established. Sampling granularity in real space used in FFT, quotient of guard band and distance between subsections are made certain respectively. The convergence criterion of root-mean-square of plural y which is the quotient of the optical field"s distributions separated by one pass is established. Under the circs of multi-kind of distribution of gain and different measurement of distortion, the output optical field distribution is calculated.

在比较了各种计算腔模方法的基础上，根据角谱传播理论，选择FFT算法，建立谐振腔内多层增益分布模型，分别确定了FFT算法的空间采样间隔、保护带系数和分段计算的距离，选取光场往返一次之比的均方根值收敛准则，计算多种增益分布、不同镜面变形时的谐振腔输出光场分布，同时计算该光场的远场分布和传输有限距离之后的分布。

The Coupled resonator model and the distribution of the electric Field on the axisin the singly periodic cavity chain and biperiodic chain with full-cavity terminationsare analysed by Helmholtz Equation using the symmetry properties of the structure.

本文从场的对称特性来解析整腔结束的单周期和双周期谐振腔链的振荡模式，并给出它们的场分布，作为对用等效电路理论研究谐振腔链的振荡模式和场分布的另一校核方法。

On one hand, profound understanding of harmonic oscillator model through various ways is crucial to understand the essence of quantum mechanics and research into micro physical models by means of quantum mechanics; on the other hand, the application of algebraic approach to solve the eigenvalues and wave function of mechanics is the main means to solve the actual problems in quantum mechanics.

简谐振子模型是量子力学中极其简单又重要的模型，其物理思想在其他相关的学科中都有着广泛的应用，通过多种途径去深入理解简谐振子模型，对理解量子力学的实质和运用量子力学作为工具去研究微观物理模型都有重要的意义；另一方面在实际工作中应用代数方法去求解力学量的本征值和波函数是研究量子力学的主要手段。

Taking the development platform of HVDC power transmission for example, the calculation result of impedance-frequency characteristic of traditional line commutated converter and that of FCC are compared. Simulation results show that the impact of impedance-frequency characteristic of converter on the resonance frequency of AC system is not negligible, and FCC can enhance the strength of AC system in a certain extent, improve system stability and effectively reduce AC equivalent impedance under resonance frequency, thus the harmonic instability of HVDC power transmission system can be avoided.

以直流输电开发平台为例，对传统电网换相换流器(line commutated converter，LCC)与FCC的阻抗频率特性计算结果进行对比，仿真结果表明换流器的阻抗频率特性对交流系统的谐振频率有着不可忽略的作用，FCC在一定程度上提高了交流系统强度，改善了系统稳定性，有效降低了系统谐振频率下的交流等值阻抗，从而更好避免直流输电系统谐波不稳定现象的发生。

The disclosed stripline resonator comprises two parallel metal ground plates 4, an inner conductor 5 between two plates 4, a metal short-circuit board 6 connected to with two ends of plate 4, and two coupling loops 7 on proper position of connected part of plate 4 and conductor 5 for input/output of microwave signal.

一种带状线谐振器及微波薄膜材料电磁参数测试装置，属于微波测试技术领域。带状线谐振器包括金属接地板4、内导体5、金属短路板6和耦合环7等四个部分，所述两块相互平行的金属接地板4的两端分别与金属断路板6连接，内导体5处于两块金属接地板4的中间，其中一块金属接地板4与内导体5相连的上下方的适当位置具有两个耦合环7，以实现微波信号的输入和输出。

Through the analysis, we also find that the change of defect waveguide edge dielectric rod radius and wave guide\'s width are advantageous for enhancing the coupling efficiency of waveguide with the resonant cavity.3. The coupling relation of between the resonant cavity and waveguide has been analyzed, and according to the coupled mode theory, transmission coefficient expression of every port has been derived.

通过分析也发现适当改变缺陷波导边缘介质柱的半径、缺陷介质柱与波导间介质柱的半径及波导的宽度，都有利于提高波导与谐振腔之间的耦合效率。3、从理论上分析了谐振腔与波导间的耦合关系，根据耦合模理论导出了各端口传输系数的表达式。

With analysis on the control model, an improved automatic tuning method for arc-suppression coil is proposed, that is: adopting voltage feed forward control to restrain interfere of 50Hz displacement voltage, which can improve the characteristic of the injected signal significantly, make the injected signal without reference to unbalanced network and neutral displaced system. Another innovation is detecting the magnitude of neutral point signal-frequency voltage to judge the resonant state, which improves the sensitivity and accuracy of resonant judgement effectively.

基于对控制模型的分析，提出了一种新的注入变频信号的消弧线圈自动调谐方法：通过电压前馈校正控制的引入，有效抑制了50Hz工频电压对注入信号的干扰，使得注入信号不受电网不对称及中性点位移电压的影响；提出以中性点注入信号电压幅值最大做为新的谐振判据，有效提高了谐振状态判断的灵敏度和准确度。

This thesis describes the preparation of HTS rf SQUID, the design of the readout andthe innovation of our inductively coupled tank circuit. Using this tank circuit and ourreadout, we achieved the flux white noise of 15 〓/√Hz for an HTS YBCO rf SQUIDwith the loop size of 100×100 μ〓, and a field sensitivity of 24fT/√Hz by using a 1 inchwasher flux focusor.

文中描述了rfSQUID样品制备过程和我们所研制的rfSQUID读出电路的设计思想和实现方法，给出了我们所发明的电感耦合谐振回路的特性，对于内孔为100x100 μ〓的rf SQUID样品，用这种谐振回路和我们的读出电路，白噪声可测到15μ〓/√Hz左右，用1英寸的聚焦器可获得24fT／√Hz的磁场灵敏度。

This thesis from the angle of signal detection, first theoretically gives out a RFOG closed signal detection design based on DSP. The signal detection system mainly includes related detection. signal conversion and the formation of feedback saw tooth. Related detection must guarantee signal synchronization sampling, and get the biggest signal noise ratio.

本文首先分析了谐振式光纤陀螺的基本原理和系统结构，并从信号检测的角度出发，从理论上给出了一个基于DSP实现的谐振式光纤陀螺的闭环信号检测方案，信号检测系统主要包括相关检测，信号的转换和反馈锯齿波的形成。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。