Laser dye stability part 8

A 3-parameter dye laser degradation equation is introduced that has been based upon a theoretical analysis of a laser oscillator. The new equation and the 4-parameter empirical laser degradation equation used previously in this series are further developed to allow calculation of the lifetime of a dye solution for any fraction of laser output degradation. These lifetime equations are shown to be dependent upon the input energy per pulse and the threshold of lasing. The new 3-parameter equation allows the degradation constants to be determined with less change in laser output than did the original 4-parameter empirical expression.     

Investigation of self-focusing a Gaussian laser pulse in a weakly relativistic and ponderomotive regime inside a collisionless warm quantum plasma

This article investigates nonlinear self-focusing of an intense right hand circularly polarized Gaussian profile laser pulse in a weakly relativistic and ponderomotive regime inside a collisionless and unmagnetized warm quantum plasma. The nonlinear propagation equation for laser pulse in plasma has been derived. Then, the evolution differential equation for laser spot-size was obtained with considering the parabolic equation approach under the Wentzel-Kramers-Brillouin and paraxial ray approximations. This differential equation was solved numerically by fourth-order Runge-Kutta method. It is shown that our solution confirms the results of the self-focusing of the laser pulse in a weakly relativistic ponderomotive regime in cold quantum plasma in extreme conditions. Numerical results indicate that self-focusing of the laser pulse in the presence of relativistic and ponderomotive nonlinearity inside warm quantum plasma is improved in comparison with relativistic and ponderomotive cold quantum plasma.     

Problems for the elimination of atomic variables and the single-mode dye laser equations

The stochastic generalization of the adiabatic approximation has been developed earlier by Wunderlin and Haken [6] and recently by Schöner and Haken [7] and the authors [8]. Using these theories, a complex field amplitude equation for the single-mode dye laser is derived based on a set of semiclassical single-mode laser equations. An effective Fokker-Planck equation in which the laser intensity is decoupled from the phase variable is obtained. The relations between our theory and the phenomenological single-mode dye laser equation are discussed.     

Analytical solution of hyperbolic heat conduction equation in relation to laser short-pulse heating

In the present study, the hyperbolic heat conduction equation is derived from the Boltzmann transport equation and the analytical solution of the resulting equation appropriate to the laser short-pulse heating of a solid surface is presented. The time exponentially decaying pulse is incorporated as a volumetric heat source in the hyperbolic equation to account for the absorption of the incident laser energy. The Fourier transformation is used to simplify the hyperbolic equation and the analytical solution of the simplified equation is obtained using the Laplace transformation method. Temperature distribution in space and time are computed in steel for two laser pulse parameters. It is found that internal energy gain from the irradiated field, due to the presence of the volumetric heat source in the hyperbolic equation, results in rapid rise of temperature in the surface region during the early heating period. In addition, temperature decay is gradual in the surface region and as the depth below the surface increases beyond the absorption depth, temperature decay becomes sharp.     

激光靶耦合过程中的激光能量沉积方程

 激光聚变靶物理研究用激光强率I随空间的变化来反映激光能量的沉积。目前激光靶物理研究使用的激光能量沉积方程在临界面处发散,讨论了造成这一非物理结果的原因,给出了合理的激光强度方程,并讨论了新旧两种激光强度方程对激光吸收的影响。     

高频强场中Kramers-Henneberger变换在狄拉克方程中的应用

在强激光场中,通过Kramers-Henneberger(KH)变换和高频近似可以将狄拉克方程的求解从一个含时问题转换成一个稳态问题来研究。以氢原子为例,详细研究了相对论框架下该稳态问题中的有效库仑势的特点,并和非相对论框架下的结果进行了比较。研究发现,由于相对论有效质量的引入,有效库仑势的分布范围并不像非相对论条件下随着激光场强度的增强单调变大,而是增加到一定值后不再变化。另外,通过比较偶极近似和非偶极近似下有效库仑势的分布,发现对高频强场,偶极近似不再适用。     

圆偏振强激光场下等离子体动力学方程及输运

将Ｆｏｋｋｅｒ－Ｐｌａｎｃｋ方程转换到电子在激光场中振荡的坐标中，得到了光场作用下的电子动力学方程；给出了圆偏振激光场作用下的电子－离子、电子－电子碰撞项；在不同的场强区域讨论了等离子体热电输运．研究表明，当电子在激光场的颤动速度接近或者大于其热运动速度时，与没有激光场情况相比，等离子体的热电输运减小很多． 关键词：     

Propagation of the ultrashort laser pulses through the quantum nonlinear medium with resonant properties

The propagation of ultrashort few-cycle laser pulses through a quantum nonlinear medium with resonant properties is studied using the method of slowly varying amplitudes with allowance for dispersion effects. A self-consistent system of nonlinear wave equation for the evolution of laser field and the nonstationary Schrödinger equation that determines the material polarization response is numerically solved. Specific features of the propagation of laser pulse caused by a relatively large spectral width and the nonadiabatic character of the laser pulse are established. The rise of the slowly dumping polarization at the eigenfrequency of the medium and the consequent stretching of the laser pulse are observed. The role of the resonant absorption of the laser energy in the medium is analyzed. The nonlinear spectral broadening is demonstrated for the laser pulse propagating through the medium.     

光泵三能级激光的全量子理论

本文采用Langevin量子理论处理光泵三能级激光体系。在激光场的光子数不太高时导出一个普适的激光场Van der Pol运动方程。它既包括了非相干和相干泵浦,又包括了强泵浦和弱泵浦情况。若对热库取平均,该方程将给出半经典理论的全部结果。本文的结果表明,激光增益来源于两个基本过程:两个光子过程和两步过程。当泵浦强度大于某阈值时,将出现动态斯塔克效应。激光线宽主要来源于热噪声、真空涨落、激光能级的自发辐射以及自发Raman散射。 关键词：     

Fluorescence versus laser effect: Towards a unified theory

A single evolution equation is established to treat the mechanisms of fluorescence and the laser effect, using a mixed representation, classical for the electromagnetic field and quantum for the dipoles. The model approach takes advantage of the principle of conservation of energy for the system of electromagnetic field and dynamic dipole. A resulting nonlinear differential equation is derived and is shown to sustain two fixed points associated with fluorescence and laser emission. The existence of a pumping threshold is confirmed for the laser effect. In particular the pumping rate determines whether light will be emitted by fluorescence or by the laser effect, and there is no pumping that engenders fluorescence and laser emission simultaneously. The initial physical conditions, chosen to integrate the evolution equation in time, assume a nonvanishing electric polarization of the emitting dipole rather than a nonvanishing electromagnetic field. The distribution function accounting for the thermal fluctuations of the random initial polarization is also calculated.     

Temperature profiling during the extinction phase of laser keyhole welding using the Boubaker Polynomials Expansion Scheme (BPES)

In this study, we have used dimensional analysis to solve the heat equation inside an experimental laser welding setup. The solution for the heat equation is based on the assumption that heat energy diffuses equally on both sides of the laser beam axis and that the temperature along the axis through which the laser beam moves is constant. The amount of heat energy delivered by the laser to the keyhole is analyzed using the Boubaker polynomial expansion scheme BPES.     

高功率半导体激光端面泵浦方形掺Nd3+离子激光晶体热形变研究

为了解决高功率半导体激光器端面泵浦激光晶体引起的热效应问题,激光晶体泵浦端面的热形变必须进行准确的计算.通过对于全固态激光器中激光晶体的工作特点分析,建立了矩形截面激光晶体热分析模型.基于热传导方程,提出了泊松方程的一种新解,并获得了矩形截面激光晶体端面热形变分布的一般解析表达式.同时讨论了半导体激光器偏心泵浦激光晶体给端面热形变带来的影响.与有限元分析方法以及其他数值分析方法相比,解析分析方法不会给计算引入任何的误差.热形变的解析分析为解决激光晶体的热效应问题以及提高激光器的性能提供了理论的依据.     

一种掺钕光纤激光器与倍频技术实现的数值模拟

从双包层光纤激光器的速率方程和光传输方程出发，建立数学模型，进行数值计算并对掺钕光纤激光器输出功率沿光纤的分布以及不同光纤长度下抽运功率和输出功率沿光纤的分布进行了数值模拟。以808nm半导体激光器为抽运源，掺钕双包层光纤为增益介质，并以KTP作为倍频晶体，计算并模拟其倍频效率和相位匹配角。最后，对光纤激光器及其倍频的实现进行了模拟研究。结果表明，该光纤激光器能够高效率地实现可见光输出。     

二能级系统的高次谐波产生过程的动力学分析

通过非扰动方法导出了与线偏振激光脉冲相互作用的二能级原子的诱导极化所满足的运动方程，并通过在一些不同激光强度下的该运动方程所具有的不同形式，对二能级系统的市郊人谐波的产生过程进行了动力学分析。     

Integral formulation of the Ginzburg-Landau theory of the laser

The most probable laser mode amplitudes are calculated on the basis of the stationary momentum space solution of the Fokker-Planck equation for a continuum mode laser oscillator, which has been derived in a previous paper. Using Fourier transform techniques the expression is transformed from momentum space to configuration space, such that an integral equation results for the most probable field configuration. The kernel is calculated explicitly and the earlier presented Ginzburg-Landau equation for the laser field is recovered together with its boundary condition.     

激光输出不稳定性对激光与物质热作用的影响

研究了激光与物质相互作用中激光输出不稳定性对材料中温度场颁的影响以及减少这种影响的途径。首次在激光热传导方程中引入噪声项,推导了噪声影响下该激光热传导方程的解。研究发现,温度场的分布受噪声的影响,材料表面温度的涨落较大,而材料的深处涨落较小;温度场的涨落还和激光加热的过程有关,随激光加热时间的增长,温度场的涨落增大。此外,材料的热传导系数、热扩散率和发射率均对温度场的涨落有影响。文中还提出了减小激     

超短强激光脉冲在等离子体隧道中传输的理论与数值模拟研究

研究了超短强激光脉冲在非扰动抛物型部分电离的预等离子体隧道中的传输特性.从Maxwell方程出发得到了两个包含衍射、三阶强度非线性、等离子体散焦、等离子体隧道聚焦以及相对论自聚焦等效应在内的激光场演化方程，即折射率方程和哈密顿-雅可比方程.在此基础 上得到了激光在等离子体隧道中传输的包络方程以及光斑半径与传输距离、隧道宽度等初始 参量的关系. 关键词： 等离子体隧道聚焦 相对论自聚焦 势阱     

Coupling surface plasmon waves across gaps in a dielectric/metal interface by transformation optics

Propagation of a Gaussian laser beam in a plasma is analyzed by including the nonlinearity associated with the relativistic mass and the ponderomotive force. We set up the nonlinear differential equation for beam width parameter using parabolic equation approach and solve it numerically. Our results show that the ponderomotive self-focusing contributes in the relativistic self-focusing of the laser beam. An impact of plasma electron temperature, relative density parameter, and intensity parameter on the propagation of the laser beam has been explored.     

Stationary solution of a laser oscillator with spatial dispersion

We present an exact solution of recently proposed differential equation for the space dependence of the most probable field amplitude in laser oscillator near threshold for laser action.     

双波长飞秒激光器量子理论研究

本文建立了一个不涉及具体光腔结构的双波长固体飞秒激光器模型,分析了群达弥散(GVD)、自相位调制(SPM)、交叉耦合、损耗调制和增益放大的动态平衡过程.从场算符的定义出发,导出了双波长飞秒激光器的量子锁模方程组,并且将该量子销模方程组化为经典锁模方程组.结果表明,该方程组和非线性薛定谔方程有着类似的结构,方程组存在稳定的脉冲解,因而从理论上证明了双波长飞秒激光器可以实现双波长同时锁模.