共查询到20条相似文献,搜索用时 187 毫秒
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光折变晶体中的体全息光栅光衍射的耦合波理论 总被引:1,自引:0,他引:1
本文考虑了晶体的各向异性特点,导出了光折变晶体中的体全息光栅光衍射的耦合波方程,给出了方程的解.用本文的公式还可以解释光线非对称入射时的实验结果. 相似文献
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平面型四光纤耦合系统的研究 总被引:6,自引:4,他引:2
以线性耦合波方程为基础,导出了在弱熔情况下平面型四光纤耦合系统的传播常数、本征模以及功率耦合特性,并首次利用“熔拉”法研制成功了平面型四光纤耦合器,得到的耦合器谱响应实验结果与理论结果基本一致。 相似文献
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表面等离激元与量子发射体间的强耦合现象通常通过散射、吸收以及荧光等远场光谱探测方法进行研究.利用高度聚焦的电子束,电子能量损失谱能够实现亚纳米尺度的局域探测,可以更加有效地研究强耦合现象.本文在理论上分别模拟了银纳米棒、介质材料以及介质层包裹银纳米棒复合结构的电子能量损失谱.得到了可以与实验结果比拟的银纳米棒表面等离激元的电子能量损失谱.在上述复合结构的电子能量损失谱中观察到了谱峰的拉比劈裂,探究了银纳米棒尺寸对拉比劈裂的影响.分别在红外、可见光波段讨论了介质层的元激发与银纳米棒偶极辐射及高阶非辐射表面等离激元模式间的强耦合现象,从损失谱的空间分布成像角度探讨了强耦合引起的杂化等离激子(plexciton)的形成.本研究对强耦合现象的进一步实验和理论研究具有指导意义. 相似文献
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本文通过表象变换, 将耦合广义非线性薛定谔方程 (C-GNLSE) 变换成相互作用表象中的向量方程, 再利用向量形式的4阶龙格-库塔迭代格式, 建立了一种在频域内求解C-GNLSE的同步更新迭代算法. 通过将该向量形式的相互作用表象中的4阶龙格-库塔 (V-JH-RK4IP) 算法应用于高双折射光子晶体光纤中超连续谱产生的数值模拟, 验证了算法的有效性, 通过与现有其他典型算法的比较, 表明以V-JH-RK4IP算法求解C-GNLSE具有最高的计算精度和计算效率.
关键词:
耦合广义非线性薛定谔方程(C-GNLSE)
相互作用表象
4阶龙格-库塔算法
超连续谱产生 相似文献
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本文用含有电子自作用修正的TF势求解了任意温度物质密度下的Schrodinger波动方程。为了能够处理相对论效应,波动方程中又引入了质速修正项和Darwin项以及自旋-轨道耦合修正项。本文着重计算了Fe、Rb在几种温度密度下的情况,并在表中给出了计算结果与更准确结果的比较。用现行方法获得的数据与HFS方法的结果也是可以媲美的。 相似文献
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采用非相干泵浦、受激辐射和纯退相干的量子主方程研究了量子点腔耦合系统,得出腔与量子点发射光谱解析解.理论分析显示,在非谐振耦合系统中纯退相干能使腔发射谱产生明显的移位效应,从而可以解释"非谐振耦合腔有效发射"效应.为了进一步研究纯退相干在量子点腔耦合系统上的应用,引入了系统有效耦合率和单光子源效率,并通过比较有效耦合率... 相似文献
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利用耦合模理论对非平行波导耦合特性进行了研究,得到了非平行波导的普遍性耦合方程及耦合系数表达式.进一步采用小角度近似,给出了几种情况下的计算结果,并与目前报道的利用其他方法计算的结果做了比较.研究表明,不同方法得到的波导中光功率虽然在远距离处都趋于稳定不变,但稳定功率的大小有明显的差别;另外由新提出方法得到的近距离处光功率随着传输距离的起伏变化更为明显.由于该方法同时考虑了非平行波导中光场相位和振幅对耦合方程和耦合系数的影响,因而所得结果能更全面地反映非平行波导的耦合特性,对实际应用更有意义.
关键词:
非平行波导
耦合方程
耦合系数 相似文献
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石英音叉作为力传感器广泛地应用于各种扫描探针显微镜,主要涉及石英音叉的同相振动和反相振动两种振动模式.通过实验方法和有限元仿真方法对石英音叉的两种振动模式进行研究,发现石英音叉的双臂之间以及双臂与音叉的基部之间都存在耦合作用,双臂之间的耦合使音叉的反相共振频率升高,双臂与基部之间的耦合使音叉的同相共振频率降低.针对两种振动模式的动态特性建立了石英音叉的机械模型并进行合理简化.简化模型是一个四弹簧三质点系统,计算了简化模型的参数.通过一个音叉臂等效质量变化与音叉反相共振频率变化之间的定量关系证明了简化机械模
关键词:
扫描探针显微镜
石英音叉
振动模式
机械模型 相似文献
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This study focuses on the nonlinear steady-state response of a belt-drive system with a one-way clutch. A dynamic model is established to describe the rotations of the driving pulley, the driven pulley, and the accessory shaft. Moreover, the model considers the transverse vibration of the translating belt spans for the first time in belt-drive systems coupled with a one-way clutch. The excitation of the belt-drive system is derived from periodic fluctuation of the driving pulley. In automotive systems, this kind of fluctuation is induced by the engine firing harmonic pulsations. The derived coupled discrete–continuous nonlinear equations consist of integro-partial-differential equations and piece-wise ordinary differential equations. Using the Galerkin truncation, a set of nonlinear ordinary differential equations is obtained from the integro-partial-differential equations. Applying the Runge–Kutta time discretization, the time histories of the dynamic response are numerically solved for the driven pulley and the accessory shaft and the translating belt spans. The resonance areas of the coupled belt-drive system are determined using the frequency sweep. The effects of the one-way clutch on the belt-drive system are studied by comparing the frequency–response curves of the translating belt with and without one-way clutch device. Furthermore, the results of 2-term and 4-term Galerkin truncation are compared to determine the numerical convergence. Moreover, parametric studies are conducted to understand the effects of the system parameters on the nonlinear steady-state response. It is concluded that one-way clutch not only decreases the resonance amplitude of the driven pulley and shaft's rotational vibration, but also reduces the resonance region of the belt's transverse vibration. 相似文献
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从构造驱动系统和响应系统之间的函数关系出发,一般性地研究了广义混沌同步中同步流形的多值性问题,并对同步流形的稳定性进行了分析,提出了多稳定同步流形存在的条件.利用该稳定性条件对两个实例进行了分析,一个为Genesio-Rssler耦合系统,另一个为具有二次、三次非线性的耦合Duffing系统,结果表明前者仅有唯一的稳定同步流形,而后者随着耦合强度的增加,从具有两个稳定的同步流形变为只存在一个稳定同步流形.
关键词:
混沌同步
多稳定性
同步流形 相似文献
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Impulsively coupled systems are high-dimensional non-smooth systems that can exhibit rich and complex dynamics.This paper studies the complex dynamics of a non-smooth system which is unidirectionally impulsively coupled by three Duffing oscillators in a ring structure.By constructing a proper Poincare map of the non-smooth system,an analytical expression of the Jacobian matrix of Poincare map is given.Two-parameter Hopf bifurcation sets are obtained by combining the shooting method and the Runge-Kutta method.When the period is fixed and the coupling strength changes,the system undergoes stable,periodic,quasi-periodic,and hyper-chaotic solutions,etc.Floquet theory is used to study the stability of the periodic solutions of the system and their bifurcations. 相似文献
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An extraordinary phenomenon of generation of coupled types of oscillations with a transverse field distribution corresponding to the ТЕМ pq eigenmodes with different pairs of indices p and q in the main laser cavity and in an external cavity has been experimentally detected. The excitation of coupled modes depends on the configuration and tuning of partial cavities. To solve the system of integral equations for a three-mirror cavity with mismatched spherical mirrors in the quasioptical approximation, it has been proposed to use modified boundary conditions including the coupling coefficients for eigenmodes in partial cavities. 相似文献
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The propagation of thermoelastic waves in homogeneous isotropic plate subjected to stress-free and rigid insulated and isothermal conditions is investigated in the context of conventional coupled thermoelasticity (CT), Lord-Shulman (LS), Green-Lindsay (GL), and Green-Nagdhi (GN) theories of thermoelasticity. Secular equations for the plate in closed form and isolated mathematical conditions for symmetric and skew-symmetric wave mode propagation in completely separate terms are derived. It is shown that the motion for SH modes gets decoupled from the rest of the motion and remains unaffected due to thermo-mechanical coupling and thermal relaxation effects. The phase velocities for SH modes have also been obtained. The results for coupled and uncoupled theories of thermoelasticity have been obtained as particular cases from the derived secular equations. At short wavelength limits the secular equations for symmetric and skew-symmetric waves in a stress-free insulated and isothermal plate reduce to Rayleigh surface waves frequency equations. Finally, the numerical solution is carried out for aluminum-epoxy composite material and the dispersion curves for symmetric and skew-symmetric wave modes are presented to illustrate and compare the theoretical results. 相似文献
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A direct approach is used to investigate perturbations about a kink solution for nonlinear Klein-Gordon models. Effects of perturbations on a kink are derived in this scheme. After linearizing the initial equations by making use of derivative expansion method from classical perturbation theory, the solution for the first-order correction is derived by means of the method of Laplace transformation. The parameter variations are naturally given by the secular conditions. 相似文献
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文中对自制对称正型音叉与自制非对称异型音叉受力F后音叉产生的振动的现象进行了研究,用DIS声传感数字化信息系统采集振动频率,研究频率与音叉叉股长度的关系,从而对音叉叉股对称与非对称的情况进行研究。 相似文献
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The subject of this paper is the development of a general solution procedure for the vibrations (primary resonance and nonlinear natural frequency) of systems with cubic nonlinearities, subjected to nonlinear and time-dependent internal boundary conditions—this is a commonly occurring situation in the vibration analysis of continuous systems with intermediate elements. The equations of motion form a set of nonlinear partial differential equations with nonlinear, time-dependent, and coupled internal boundary conditions. The method of multiple timescales, an approximate analytical method, is applied directly to each partial differential equation of motion as well as coupled boundary conditions (i.e. on each sub-domain and the corresponding internal boundary conditions for a continuous system with intermediate elements) which ultimately leads to approximate analytical expressions for the frequency-response relation and nonlinear natural frequencies of the system. These closed-form solutions provide direct insight into the relationship between the system parameters and vibration characteristics of the system. Moreover, the suggested solution procedure is applied to a sample problem which is discussed in detail. 相似文献