谐振曲线

The works in the project just done can be summarized as five respects.(1) A device was designed to fabricate the asymmetrical resonant cavities by a pendant drop. A series ARCs with variable parameters provides a valuable experimental method for investigating the characteristics of ARCs.(2) The relationship between the number of active modes and the shape parameters in an ARC was investigated. The experimental lasing threshold was compared with theoretical result, the good agreement between two shown that it was the decrease of the number of active modes in an ARC that decreased lasing threshold.(3) Dye lasing gain was used to enhance the signals of stimulated Raman scattering of the weak gain Raman modes in a circular cavity made by a pendant drop, the instantaneous SRS spectra of weak gain Raman modes in ethanol was obtained by this new method.(4) The SRS signals of minority compound in a binary chemical complex was obtained by using dye lasing gain method. The detection concentration of minority compound was reduced to an order compared with normal SRS method.(5) A cylindrical circular cavity was formed by a liquid jet, which was used to reduce the pump intensity required for laser induced plasma spectroscopy. The limit of detection of trace element in aqueous sample was greatly decreased by this new method.

我们设计并成功制作了使悬垂液滴连续变形的装置，用此装置可以方便地改变非圆对称谐振腔的几何参数，为ARCs的研究提供了一种有效的实验方法；研究了ARCs中活性模式数和变形参数间的变化规律，激光阈值的数值计算结果和激光辐射的实验结果作了比较，二者吻合的曲线说明ARCs中活性模式数量的减少是受激辐射放大阈值降低的原因；在由单元化合物构成的微型圆对称谐振腔中，首次尝试用"激光增益"增强弱增益拉曼模式的受激拉曼散射信号，获得了乙醇分子中弱增益拉曼模式的瞬态SRS光谱；在由二元混合物构成的微型圆对称谐振腔中，用染料的激光增益增强了少量化合物的SRS信号，把少量化合物的SRS信号探测浓度降低了近一个数量级，在SRS应用于瞬态过程的组份分析方面做了卓有成效的探索；用石英毛细管形成的稳定液拄构成拄形谐振腔，降低了激光诱导等离子体光谱需要的激励能量，有效地降低了水相样品的痕量元素分析极限，为LIPS应用于微量元素的化学分析开拓了一条新的技术路线。

Therefore,based on microwave highQ cavity resonator,a new technique of calculating the quality factor through theoretical derivation is presented,which allows flexibility in choice of measurement point.This method solves the problem of coupling system influence,which can cause larger error in measuring.

为此，针对微波高Q谐振腔，给出了一种测量其品质因数的新方法，该方法可以根据实测的谐振曲线灵活选取测量点，有效解决了传统方法中由于谐振腔受外电路影响导致测量误差较大的问题。

In this paper, the current states of research about the basic theory of harmonic oscillator and hydrogen atom in quantum mechanics are firstly reviewed. On base of it, and the relationships between harmonic oscillator and hydrogen atom in quantum mechanics are studied. By use of the relationships between the hermite polynomial and the laguerre polynomial, the eigenequations of one-dimensional harmonic oscillator and hydrogen atom are conversed into the same equations in form. Therefore the relationships between energy levels and wave functions of one-dimensional harmonic oscillator and hydrogen atom are found. Through the coordinates transform, the relationships between energy levels and wave functions of two-dimensional harmonic oscillator and hydrogen atom are found.

首先综述了谐振子与氢原子的基本理论的研究现状，并在此基础上对谐振子与氢原子的关系展开了研究，通过厄密特方程与拉盖尔方程的相互转化，将一维谐振子与一维氢原子的本征值方程转化为相同形式的方程，从而比较得出它们能量及波函数间的关系，并通过坐标变换将直角坐标系下二维氢原子的本征值方程转化成与曲线坐标系下二维谐振子的本征值方程相同的形式，从而得出二维氢原子与二维谐振子的能量及波函数的关系。

The impedance formula of RL-C parallel resonance circuit is deduced theoretically, and some properties of resonance characteristic curve are analysed.

从理论上导出了RL－C并联谐振电路的阻抗公式，由此分析谐振特性曲线性质，并得出文献中引用的RL－C谐振特性曲线成立的充分条件

I used 165/46 litz instead of larger litz because regenerative radios tend to be "Q multipliers". I thought that the 660/46 wire would make the radio too sharp and perhaps unstable.

我用了165/46李兹线而没有用更多股数的原因，是因为再生电路有&倍Q&作用，我想660/46李兹线可能使得谐振曲线太过尖锐而使得电路变的不稳定。

This allows the tank circuit to be as sharp as it can be. There is some sacrifice of volume, but it is well worth it. The 7-45 pf trimmer is set to around 20-30 pf.

它使得谐振曲线尽可能的尖锐，尽管在音量上有所损失，但这是值得的。7-45 pf 半可变电容调节在大约20-30 pf 处。

Under ideal circumstance, the resonance curve of Fabry-Pérot optical fiber interference is drawn.

绘制了理想情况下光纤法布里珀罗干涉的谐振曲线。

With the theory of mode split, the distortion of resonance curve of hydrophone is explained and math formulas describing the distortion of resonance curve are given, and then the interference process of hydrophone after mode split is simulated by MathCAD and the theoretical curve is plotted.

用模式分裂的原理解释了水听器的谐振曲线畸变现象，提出了描述谐振曲线畸变的数学公式，用MathCAD软件仿真了模式分裂后水听器的干涉过程并绘制了理论曲线。

There are some important and novel conclusions deduced: 1. The curve of resonance output vs excitation voltage shows that electrostatically excited resonator could be easily excited by low excitation voltage and could be well protected when overloaded due to the good structure design.

静电激励微谐振器谐振峰值与交流激励电压的关系曲线表明该谐振器在较低的电压激励下即可获得较大的振幅，同时该谐振器具有良好的过载保护功能，在用于精确测量时，必须保证激励电压处于该曲线的线性段。

Secondly, the nonlinear vibration of a mono-degree of freedom rotor supported by the AMBs is investigated also. With the altering of the PID controllers parameters, the typical nonlinear phenomena such as softening/hardening spring characteristic, jumps and separation of the resonance curve can be observed and analyzed.

其次，对PID控制的单自由度电磁轴承—转子系统由于力—电流／位移的非线性特性引起的非线性振动进行了分析研究，当控制器参数改变时，系统表现出软／硬弹簧特性，分析了主共振区的跳跃谐振及谐振曲线的分离现象。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。