在非简并参量放大系统中EPR佯谬的最佳实现

利用非简并参量放大系统中Fokker-Planck 方程的解来推导实现EPR佯谬的条件. 数值模拟表明，当损耗k有限时，可以通过调整压缩度来获得EPR佯谬的最佳值. 关键词： 非简并参量放大 Fokker-Planck 方程 EPR 佯谬     

含时的线性驱动简并参量放大系统的量子起伏

导出在P表象中含时的线性驱动简并参量放大Fokker-Planck方程，并求其解.在阈值以下或阈值附近，含时驱动Fokker-Planck方程的解与线性理论或阈值附近的微扰理论预言的基本相符.在阈值以上，含时驱动Fokker-Planck方程解的短期行为也与线性近似解相近，但当τ增大后的长期行为完全区别于线性理论的结果. 关键词： 含时的线性驱动简并参量放大 Fokker-Planck方程 量子起伏     

基于四波混频的光纤非线性系数测量方法

为解决四波混频法测量光纤非线性系数未考虑泵浦消耗而导致结果不准确的问题,提出了一种在简并四波混频情况下测量非线性系数的方法.根据光纤中简并的四波混频理论,推导出了考虑泵浦消耗和光纤损耗的椭圆方程.通过设定数值计算所需的各个参量并利用简单的数学方法分析了计入泵浦消耗、光纤损耗的必要性,得到被测光纤的非线性系数,与Optisystem的仿真结果一致.研究表明,这种改进的测量方法不但适用于小信号情形下的四波混频过程,还可以应用于出现参量饱和现象的场合,为进一步设计光纤2R再生器件提供了重要依据.     

基于四波混频的光纤非线性系数测量方法

为解决四波混频法测量光纤非线性系数未考虑泵浦消耗而导致结果不准确的问题,提出了一种在简并四波混频情况下测量非线性系数的方法.根据光纤中简并的四波混频理论,推导出了考虑泵浦消耗和光纤损耗的椭圆方程.通过设定数值计算所需的各个参量并利用简单的数学方法分析了计入泵浦消耗、光纤损耗的必要性,得到被测光纤的非线性系数,与Optisystem的仿真结果一致.研究表明,这种改进的测量方法不但适用于小信号情形下的四波混频过程,还可以应用于出现参量饱和现象的场合,为进一步设计光纤2R再生器件提供了重要依据.     

基于周期极化LiTaO3晶体的高增益简并啁啾脉冲参量放大

根据准相位匹配理论计算了周期极化LiTaO₃(PPLT)晶体中0类准相位匹配过程(e+e→e)的增益曲线.在此基础上，使用数百μJ的低抽运能量获得了～10⁶的增益和～10.3%的转换效率，实现了中心波长位于1064nm的基于简并光学啁啾脉冲参量放大(OPCPA)技术的高增益放大，为产生超短超强激光脉冲提供了新的技术手段.实验结果与理论预期基本符合.     

基于周期极化LiTaO3晶体的高增益简并啁啾脉冲参量放大

根据准相位匹配理论计算了周期极化LiTaO3(PPLT)体中0类准相位匹配过程(e+e→e)的增益曲线.在此基础上,使用数百μJ的低抽运能量获得了～106的增益和-10.3%的转换效率,实现了中心波长位于1064nm的基于简并光学啁啾脉冲参量放大(OPCPA)技术的高增益放大,为产生超短超强激光脉冲提供了新的技术手段.实验结果与理论预期基本符合.     

由非简并光学参量放大系统获得压缩态光所满足的Fokker-Planck方程及其解

通过解非简并光学参量放大的Fokker-Planck方程，得出压缩态光的腔内最大压缩的量子起伏为1/16（真空起伏为1/4）,与已知的简并光学参量放大情形腔内最大压缩为1/8相比，压缩度提高了一倍. 关键词： 非简并光学参量放大 Fokker-Planck方程 腔内最大压缩     

周期分布放大系统的精确解及其相互作用

考虑带有变增益侦耗和频率啁啾的非线性薛定谔方程，利用达布变换求得该方程的N-孤子解，并给出带有变增益钡耗和频率啁啾的一孤子解和二孤子解的精确表达式。特别地，详细讨论了孤子周期分布放大系统的动力学行为。结果表明，带有变增益／损耗和频率啁啾的孤子解可以应用于周期分布放大系统，同时保留了孤子的特性。     

基于自发参量下转换产生参量荧光的光谱分布特性理论分析

采用放大传递函数理论模拟和分析了基于自发参量下转换产生参量荧光的光谱分布特性,结果表明：非简并态下随着相位匹配角的增大,参量荧光空间强度角分布呈现变大趋势,而整个荧光光谱成分的分布逐渐倾向于连续的弱分布状态.对于简并态附近出现荧光光谱具有宽带宽集中分布的特征,采用两种不同的抽运光脉冲进行了对比分析,并且对此特征关于相位匹配角变化的敏感特性,采用放大传递函数和光谱成分概率分布函数两种不同理论的模拟结果一致. 关键词： 参量下转换 参量荧光     

简并双光子激光的光子统计

从原子和场模的密度算符的主方程出发,应用Haake和Lewenstein所发展的原子变量绝热消除的算符方法,导出了简并双光子激光光场Wigner函数的福克-普朗克(Fokker-Planck)方程及其稳态解.利用稳态解的高斯近似,求得了在不同泵浦强度下,光子统计的解析结果如数值结果,并与前人的结果作了比较.     

Nonlinear frequency conversion in 2D χ (2) photonic crystals and novel nonlinear double-circle construction

The analytic solution to the wave equation for small-signal sum-frequency process is derived in 2D χ ⁽²⁾ photonic crystals with use of the Green function method. It is predicted that the sum-frequency electrical field at quasi-phase matching (QPM) resonance is proportional to the angle-dependent effective crystal length. This implies that multiple wavelength QPM frequency conversion with controllable intensity output can be realized in a single 2D χ ⁽²⁾ photonic crystal. It is revealed that efficient frequency conversion requires both the QPM and the proper structure matching. A novel double-circle construction, different from the conventional Ewald construction, is presented to reflect important QPM processes. It is also shown that the QPM resonance tuning of second-harmonic generation can operate over the whole transparent wavelength range of crystals. Received 19 April 2001     

Tunable ultraviolet radiation by second-harmonic generation in periodically poled lithium tantalate

We describe electric-field poling of fine-pitch ferroelectric domain gratings in lithium tantalate and characterization of nonlinear-optical properties by single-pass quasi-phase-matched second-harmonic generation (QPM SHG). With a 7.5-microm-period grating, the observed effective nonlinear coefficient for first-order QPM SHG of 532-nm radiation is 9 pm/V, whereas for a grating with a 2.625-microm period, 2.6 pm/V was observed for second-order QPM SHG of 325-nm radiation. These values are 100% and 55% of the theoretically expected values, respectively. We derive a temperature-dependent Sellmeier equation for lithium tantalate that is valid deeper into the UV than currently available results, based on temperature-tuning experiments at different QPM grating periods combined with refractive-index data in the literature.     

Equations for Green functions with the use of the exact Hamiltonian in the quasiparticle-phonon nuclear model

A set of equations for Green functions based on the exact Hamiltonian of the Quasiparticle-Phonon Model (QPM) for spherical even-even nuclei is obtained. The relation between this new set and the usual equations employed so far in the QPM is discussed. In particular a comparison between the obtained secular equation for excited state energy and the one used so far in the QPM for the case, when the excited state wave function consists of one- and two-phonon components, is made. The numerical evaluation performed in the schematic two level model showed that the difference between the results given by the calculation with the exact Hamiltonian and those based on the approximated Hamiltonian was remarkable in nonmagic nuclei.     

Ψ=We ±Φ Quantum cosmological solutions for class A Bianchi models

We find exact solutions to the Wheeler-DeWitt equation, for a certain factor ordering. They have the form =We ^± for class A Bianchi models, where is a solution to the classical Hamilton-Jacobi equation, generalizing the only known solution of Moncrief and Ryan for the Bianchi type IX model in standard quantum cosmology. The same kind of solution has also been found in supersymmetric quantum cosmology.     

Angle-tuned second-harmonic generation in periodically-poled lithium niobate

We investigated angular tuning of quasi-phase-matching (QPM) second-harmonic generation (SHG), in order to extend the tunable range of QPM and to combine the advantages of QPM and birefringence phase-matching. The direction of the input fundamental wave vector was detuned from the QPM grating vector along the crystallographic Z-axis of a periodically-poled lithium niobate (PPLN) crystal in the XY- and XZ-planes. A?larger tuning range of SHG was obtained for the detuning in the XZ-plane, continuously shifting the QPM peak of the fundamental wavelength from 1524 to 1595?nm by changing the detuning angle from 0° (parallel to X-axis as conventional QPM) to 23.2°.     

Mathematical properties of gap-functions in strongly coupled superconductors

We consider the Dyson equation associated with the BCS superconducting state from a mathematical point of view. The Dyson equation gives rise to a modified gap equation that is similar to the BCS gap equation, but with a different kernel. We first show that for strong coupling (such that the McMillan parameter ||1) both the real and imaginary parts of the solution (E) of the modified gap equation alternate in sign as function of the excitation energyE, the periods being 4₀ for positive and 4₀/3 for negative . (₀ is the frequency of an Einstein spectrum of phonons). A closed, algebraic approximation to (E) is 2||₀log[cotan(E/ )]. Finally, the poles of the kernel of the integral equation are located in the complex-E plane. For the new-type, oscillatory solution of the modified gap equation the analogue of the causal (zero-temperature) Green's function is shown to have different analytic properties from those of the smooth Eliashberg solution of BCS theory.     

Physical foundations of quantum theory: Stochastic formulation and proposed experimental test

The time-dependent Schrödinger equation has been derived from three assumptions within the domain of classical and stochastic mechanics. The continuity equation isnot used in deriving the basic equations of the stochastic theory as in the literature. They are obtained by representing Newton's second law in a time-inversion consistent equation. Integrating the latter, we obtain the stochastic Hamilton-Jacobi equation. The Schrödinger equation is a result of a transformation of the Hamilton-Jacobi equation and linearization by assigning the arbitrary constant =2mD. An experiment is proposed to determine and to test a hypothesis of the theory directly. A mathematical apparatus is formulated from the Jacobian formalism to derive physical parameters from (x, t) and to obtain operators for the boundary cases of the theory. The operator formalisms are compared by means of a well-known solution in the quantum theory.     

Square Integrability and Uniqueness of the Solutions of the Kadomtsev–Petviashvili-I Equation

We prove that the solution of the Cauchy problem for the Kadomtsev–Petviashvili-I Equation obtained by the inverse spectral method belongs to the Sobolev space H^k(R²) for k 0, under the assumption that the initial datum is a small Schwartz function. This solution is shown to be the unique solution within a class of generalized solutions of the Kadomtsev–Petviashvili-I equation.     

Method for solving moving boundary value problems for linear evolution equations

We introduce a method of solving initial boundary value problems for linear evolution equations in a time-dependent domain, and we apply it to an equation with dispersion relation omega(k), in the domain l(t)相似文献   

Stationary solutions of the bogoliubov hierarchy equations in classical statistical mechanics. 3

We continue the analysis of the conjugate equation for the generating function of a Gibbs random point field corresponding to a stationary solution of the classical BBGKY hierarchy. This equation was established and partially investigated in the preceding papers under the same title. In the present paper we reduce a general theorem about the form of solutions of the conjugate equation to a statement which relates to a special case where the interacting particles constitute a quasi—one dimensional configuration.