One- and Two-Mode Combination Squeezing Operator for Two Harmonic Oscillators with Coordinate-Momentum Coupling

By virtue of the technique of integration within an ordered product of operators, we derive the normal ordering expansion of a one- and two-mode combination squeezing operator for two harmonic oscillators with coordinate- momentum coupling. It turns out that this squeezing operator just diagonalizes the Hamiltonian H=p^21/2m1＋m1ω^21x^21/2＋p^222m2＋m2ω^22x^22/2-λx2p1 so its ground state is a one- and two-mode combination squeezed state. Quantum fluctuation in the ground state is calculated.     

Wavefunction of Coupled Quantum—Classical Oscillator

Considering classical environment to be a classical oscillator,we describe the dynamics of a system consisting of a quantum oscillator coupled to classical oscillator.Using the Born-Oppenheimer approximation and the method of adiabatic invariants,we derive the classically effective Hamiltonian describing the complete dynamics of the system and the wavefunction of quantum part of the system.We also present a new method for investigating the dynamics of the quantum system in classical environment.     

Transition to Amplitude Death in Coupled System with Small Number of Nonlinear Oscillators

In this work, we investigate the amplitude death in coupled system with small number of nonlinear oscillators. We show how the transitions to the partial and the complete amplitude deathes happen. We also show that the partial amplitude death can be found in globally coupled oscillators either.     

L波段ESR谱仪的临界振荡器的研制

本文用等效电路法导出了裂环谐振腔的谐振频率及Q值近似表达式。利用这种腔体,设计了一种L波段临界振荡器,并用其构成了一台ESR波谱仪。     

宽调谐高效率的BBO光参量振荡器

本文报道用354.7nm泵浦的单共振BBO脉冲光参量振荡器在413～661nm和2513～765nm波段内获得了可调谐的振荡输出,最高总能量转换效率达52％;文中还讨论了输出特性。     

Density Matrix and Squeezed Vacuum State for General Coupling Harmonic Oscillator

By taking a unitary transformation approach, we study two harmonic oscillators with both kinetic coupling and coordluate coupling terms, and derive the density matrix of the system. The results show that the ground state of the system is a rotated two single-mode squeezed state.     

Transition to Antiphase Synchronization

We study the anti-phase synchronization （APS） in a system of two coupled chaotic oscillators. The necessary condition and the stability analysis for the APS are given theoretically. The APS state in specific systems such as Chua circuits and Lorenz oscillators are numerically studied. The different types of transitions to APS in both the systems are found.     

X波段重频过模返波振荡器实验研究

根据两腔振荡器和返波管的特点研制了过模结构返波振荡器, 该器件主要由调制腔和换能腔(慢波结构)两部分组成. 调制腔既是电子束的预调制腔, 也是微波谐振反射腔, 它同换能腔形成一个过模微波谐振腔,经调制腔调制后的电子束在换能腔中实现束波能量转换. 根据加速器的电子束参数(束压为1 MV,束流为20 kA)设计了一个X波段的高功率微波器件,2.5维粒子模拟程序模拟得到微波频率为8.25 GHz,输出功率为5.70 GW. 用超导磁体作为引导磁场,单次运行输出微波功率为5.20 GW,微波频率为(8.25±0. 关键词： 两腔振荡器 返波振荡器 多波切连科夫发生器     

An Approach to Analyse Phase Synchronization in Oscillator Networks with Weak Coupling

We study phase synchronization in oscillator networks through phase reduced method. The dynamics of networks is reduced to phase equations by this method. Analysing the phase equations through the master stability function method, one obtains that the oscillators with identical frequency can be in-phase synchronized by weak balanced coupling. Similarly, the problem of frequency synchronization of oscillators with different frequencies is transformed to the existence of a locally asymptotically stable equilibrium of the phase error system.     

利用负载电流产生微波的新型MILO

 为了进一步提高MILO产生微波的功率和效率，提出了其负载电流能量全部利用来产生微波的新思想。设计并运用二维全电磁PIC方法模拟了基于此思想的新型MILO，它是传统MILO与VCO的有机结合(简称MVO)。模拟结果表明MVO中MILO部分与作为MILO负载的VCO部分各自工作正常，VCO部分产生微波的主频受MILO部分产生微波的牵引。在输入25GW电功率（工作电压约500kV）下，与相应传统MILO相比，MVO的微波平均输出功率提高了500MW，效率从6%提高到了8%。     

三维FEL振荡器的数值模拟

在３８６微机上建立了三维ＦＥＬ单模，多模振荡器模拟程序，并用该程序进行了计算。发现：１．对单模，在足够多的振荡次数的条件下（ａ）非理想入射，发射度，能散度对激光饱和功率的影响程度在一定范围内不显著，而且随输出耦合系数的降低而变弱。在输出耦合为２％时，小程度的非理想入射的饱和功率反而超过正入射；（６）非理想入射对饱和情况下的激光品质的影响也不显著，并随输出耦合系数的降低而变弱。２．对多模，在高输出耦合的情况下，边带将受到抑制而不能增长。非理想入射、发射度都会减慢边带的增长。     

自由电子激光振荡器的二维数值模拟

在柱二维坐标系中,用数值计算方法求解了摇摆器内电子模拟方程组、光场方程组和无源区(不含摇摆器区)经非自适应方法变换后的无源旁轴波动方程并设计了相应的程序R_2D。用该程序计算的数值结果表明,在有源条件下二维数值模拟结果与高斯光束近似下的数值模拟结果符合较好;取完全相同的计算条件R-2D程序与洛斯阿拉莫斯实验室(LANL)的FELEX程序的计算结果符合较好;初步认为LANL实验数据的物理图象合理,数值结果基本可信;最后给出北京自由电子激光器(BFEL)的一些物理数据。     

多电子束契伦柯夫自由电子激光振荡器

我们对多电子束契伦柯夫自由电子激光进行了首次实验研究。280A,500kV的电子束被引入一多介质矩形谐振腔,在频率为33.4GHz处产生了1.7MW的契伦柯夫相干受激辐射。互作用效率为1.2％。     

强流电子束泵浦百焦耳级氟化氪激光

本文介绍中国原子能科学研究院建造的强流电子束泵浦的百焦耳级氟化氪激光装置的主要性能,重点介绍脉冲功率技术和激光振荡器的一些关键技术。     

长短脉冲振荡器同步输出的研究

本文首次报道—种新的负反馈技术和快速电路。在这基础上,两台脉冲振荡器同步输出,其间的相对抖动约±1ns。     

A New Method for Increasing Output Power of a Three-Cavity Transit-Time Oscillator

We propose a new method to increase the output power of a three-cavity transit-time oscillator (TC-TTO).Conventional transit-time effect oscillators, such as the split-cavity oscillator (SCO), super-Reltron, and TC-TTO (or double-foil SCO), etc., have a common feature that the span of any modulating cavity is uniform. The new method is to vary the three-cavity spans from uniform to nonuniform. Its configuration is called the nonuniform three-cavity transit-time oscillator (NTC-TTO). Numerical simulations show that the electron-beam is modulated more deeply in certain NTC-TTOs than that in the TC-TTO with the same whole modulating length, and the output microwave power in certain NTC-TTOs is higher than that in the TC-TTO. The experimental results are in agreement with those of the numerical simulations. The results show that the new method can increase the output power of a microwave tube based on the TC-TTO.     

Nonlinear Dynamical Symmetries of Some Two-Dimensional Quantum Systems

In this paper nonlinear dynamical symmetries of three quantum systems are studied in detail, such as the Kepler-Coulomb system and the isotropic harmonic oscillator in a two-dimensional curved space, and the generalized pseudo-oscillators in the two-dimensional fiat space. Their nonlinear spectrum generating algebras are shown to be relevant to polynomial angular momentum algebras.     

双频磁绝缘线振荡器微波产生特性的数值研究

 利用数值模拟的方法,研究了角向分区比例分别为1∶1,1∶2,1∶3,2∶1和2∶2的双频磁绝缘线振荡器（MILO）的微波产生特性,得到了“热腔”条件下的微波电场分布,电子的相空间图,输出微波的总功率,以及微波频率随角向的分布变化等特性。为了比较,还给出了对应于双频MILO的谐振腔深度的两种常规的角向均匀的单频MILO的模拟结果。研究揭示了双频MILO内束 波互作用分区分别工作的规律,提高了对双频MILO产生双频率高功率微波的机理的认识,为双频MILO的双频辐射技术和双频微波测试技术提供了依据。     

一种忆感器模型及其振荡器的动力学特性研究

忆感器是在忆阻器基础上定义的一种新型记忆电路元件. 在实际忆感器尚未实现的情况下, 为探索忆感器及其在非线性电路中的特性, 提出了一种忆感器数学模型和电路模型. 基于该模型设计了一个非线性振荡电路, 采用理论分析、仿真分析和实验验证的方法研究了忆感器模型的特性及其在电路中的动力学规律. 分岔分析表明, 在适当的参数下忆感器会使电路产生周期和混沌振荡. 设计了实现忆感器模型及其振荡器的模拟电路, 实验验证了忆感器模型和振荡器的特性, 实验结果与理论分析完全一致.     

x^3振荡器及其周期

建立了ｘ＾３振荡器模型,导出了它的振动周期公式。