A model of injection laser with allowance for the inertia of currier diffusion processes

A simplified model of the lasing dynamics of an injection laser with allowance for diffusion is proposed. To this end, a time delay term describing the inertia of nonequilibrium-carrier diffusion is introduced into the rate equations. The possibility of occurrence of different dynamic lasing modes is analyzed.     

四能级增益介质光子晶体激光器的时域有限差分模型与模拟

基于Maxwell-Bloch方程和速率方程相结合的模型,模拟包括四能级增益介质光子晶体激光器的光学特性.根据FDTD法的基本原理,给出方程的Yee氏离散方程.通过计算电场的时域特性,模拟光子晶体激光器的频谱特性、阈值特性、动力学演化等过程,模拟结果和理论结论一致,检验了该模型的有效性.     

Theoretical research on the random lasing from two-dimensional anisotropic media consisted of liquid crystal and mixed dye

The random lasing action in two-dimensional random media is investigated by simultaneously solving Maxwell’s equations and rate equations of electronic population. The random media are composed of scattering liquid crystal (LC) particles and mixed dye materials. The anisotropic scattering LC particles are arranged to be disordered in the spatial orientation of their optical axes. A parameter K = n _o /n _e ≤ 1 which denotes the ratio of the refractive indexes at two principal axes is defined to characterize the degree of the orientational disorder. The number of the lasing modes increases quickly with the decreasing of ratio K. In addition, the simulation of the external modulation of dielectric constant is studied. Results indicate that the spectrum intensity would be enhanced; whilst the frequencies of the lasing modes do not change significantly.     

随机性对部分随机介质激光器阈值的影响

基于速率方程和Maxwell方程相结合的模型，采用时域有限差分法(FDTD)研究了介质的随机性和层数对部分随机介质激光器阈值的影响.模拟结果显示，当抽运速率超过阈值时，出现一个或者多个振荡模；随机性或者系统的尺度增加时，振荡模数量也增加；部分随机介质激光器的阈值在一定的随机强度和层数下将达到最小值，它与完全随机情况下的结论有所不同.对所得到的结论给出了物理解释.这些结果对于制作随机激光器和光集成潜在应用价值. 关键词： 激光物理 随机激光器 阈值 时域有限差分法     

无反转激光:增益与饱和

在下能级相干的型三能级系统得到了原子密度矩阵方程的严格解。在强相干情形分析了产生无反转激光的抽运条件，并导出了光强饱和项。 关键词：     

掺杂硅石纳米粉末的染料随机激光发射

针对染料随机激光器特性与应用研究,讨论了无序介质中荧光粒子和额外散射粒子的发光性质、浓度变化以及颗粒尺寸与随机激光发射阈值之间的关系。采用时域有限差分法直接求解Maxwell方程组及速率方程组的方法,模拟仿真出了相应的发射谱线及浓度变化与激光发射阈值的关系曲线。所设计的样品中Rh6G-SiO2的质量分数为4%,其阈值大小为8.5 J/pulse时,额外微小散射体TiO2的加入对该介质随机激光发射产生的影响很小,可忽略不计。在此基础上,通过进一步模拟分析了处于不同条件和背景下随机激光的阈值特性。     

Lasing with resonant feedback in weakly scattering random systems

Laser action in active random media in the weak scattering regime far from Anderson localization is investigated by coupling Maxwell's equations with the rate equations of a four-level atomic system. We report systematic lasing action with resonant feedback and show that the lasing modes mostly consist of traveling waves spatially extended over the whole system. Next we address the question of the origin of the feedback mechanism in such a system where no disorder-induced long-lived resonances are available, and present strong evidence that they correspond to the quasimodes of the passive system. This in turn provides an original way to access the spatial distribution of the quasimodes of a non-Hermitian system.     

二维随机激光器的模式选择及阈值与饱和特性

基于将Maxwell方程与四能级原子系统速率方程相结合而建立起随机激光时域理论，并利用有限时域差分法，研究了二维随机介质中激光模式的输出特性与介质尺寸、外形及抽运速率等参数的关系.结果表明，与传统激光模式相似，随机激光模式的强度随抽运速率的变化不仅具有阈值特性，而且具有饱和特性.基于模式特性对介质及抽运参数的依赖关系，提出了二维随机激光器的选模方式，在很大程度上不同于传统激光器的选模方式. 关键词： 随机激光器 模式选择 无序介质中的光学特性     

The research on polarization states with local pumping in two-dimensional active random medium

The polarization-dependent competition on inversed population with local pumping in two-dimensional (2D) active random media is investigated by simultaneously solving Maxwell’s equations and rate equations of electronic population for both transverse magnetic (TM) and transverse electric (TE) modes. The threshold property of the two polarization states with local pumping is analyzed. Results show that the lasing threshold of TM modes is lower than that of TE ones when the radius of the local pumping region is suitably selected, and the case would be contrary when the selected radius of the local pumping region is excessive.     

活性无序介质中泵浦功率对局域模发射的影响

基于具有局域-非周期-类结构的活性无序介质中的复杂局域模与合适泵浦光的相互作用模型,研究活性无序介质中泵浦功率对局域模发射的影响,定性解释了泵浦功率对局域模发射的影响.结果表明,局域-非周期-类结构的无序介质的透射谱只与介质的结构有关,而与介质的损耗和增益无关,不同的激发模具有不同的泵浦功率阈值.     

Remarkable spectral difference between different polarized modes in four-level two-electron atomic system

The spectral difference between different polarized modes in two-dimensional (2D) four-level two-electron atomic system is investigated by simultaneously solving Maxwell's equations and rate equations of electronic population. A new physical model including pumping dynamics is introduced, and the transitions between the energy levels are governed by coupling rate equations and the Pauli Exclusion Principle. Results indicated that polarized lasing modes have different field pattern, spectral range, and intensity. The photons in TE field are easier to leak from random media than those in TM field. The quality factor of TM modes is larger than that of TE modes and the loss of TM modes to be lower than that of TE modes. The spectral properties in four-level two-electron atomic system are polarization-dependent.     

Time dependent theory for random lasers

A model to simulate the phenomenon of random lasing is presented. It couples Maxwell's equations with the rate equations of electronic population in a disordered system. Finite difference time domain methods are used to obtain the field pattern and the spectra of localized lasing modes inside the system. A critical pumping rate P(c)(r) exists for the appearance of the lasing peaks. The number of lasing modes increases with the pumping rate and the length of the system. There is a lasing mode repulsion. This property leads to a saturation of the number of modes for a given size system and a relation between the localization length xi and average mode length L(m).     

A multiwave CuBr and PbBr2 laser with a sectioned active volume

The operation of a CuBr and PbBr₂ laser with a two-section gas-discharge tube with working media in different sections and an additional electrode between the sections was studied for the first time. Effective lasing was achieved in both media under control of time location of lasing pulses in different active media. The total mean lasing power equal to 1.5 W was distributed over wavelengths as follows: 1 W (510.6 nm), 0.3 W (578.2 nm), and 0.2 W (722.9 nm). The specific features of operation of the multicomponent laser and methods for its optimization are discussed. It is shown that the lasing power in a section is close to the power of an individual active element.     

Systematics of inner-shell photo-ionization X-ray lasers with constant pump rates

Population-rate equations are analytically solved for constant pump rates. Conditions for population inversions are developed for this simplified case. Numbers appropriate for inner-shell photo-ionization of magnesium and neon are used. These allow back-of-the envelope calculations for predicting lasing duration. Pump-rate thresholds are also given which permit lasing for the duration of the pumping. Blackbody-source temperatures associated with such pump rates are calculated. A method of using the solution of the small-signal population-rate equations to determine the saturated intensity when the lower lasing level has a decay channel is given. This method is applied to the case of constant pump rates. An analytic expression for the saturated intensity is developed for this case.     

Low threshold laser cavities of two-dimensional photonic crystal line defect mode

Two-dimensional (2D) rod-type photonic crystal (PC) line defect waveguide (LDW) laser cavities based on three types of line defect modes with zero group velocity are studied by using finite-difference time-domain (FDTD) method. These laser cavities have high quality (Q) factor, better localization of light, non-uniform gain distribution and small overlap between gain medium and light field. Therefore, they have the advantages over conventional and air-bridge PC cavities with uniform gain, such as low threshold, single mode lasing and effectively avoiding thermal effect. From their comparison, one can find the mode at middle Brillouin zones (BZ) is the best one to be used as lasing mode. Its dynamic lasing process and lasing features are demonstrated by the numerical experiment where the FDTD method coupling Maxwell's equations with the rate equations of electronic population is used.     

一维光子晶体带边激光器的阈值特性分析

采用麦克斯韦方程和速率方程相结合的模型和时域有限差分法,利用引入的有效增益分布因子概念研究了光子晶体中本征模的阈值特性。增益介质的大小以及在光子晶体中的位置直接影响光子晶体带边激光器的输出特性;有效增益分布因子描述了光子晶体中增益介质的空间分布特性。结果显示,带边本征模的激射阈值依赖于有效增益分布因子。不同的本征模具有不同的有效增益分布因子,那些有效增益分布因子较大的模式具有较低的阈值。通过调整增益介质的位置和长度,可以提高有效增益分布因子的值,从而降低激光器的阈值,这对于实现激光器的低阈值运行有指导作用。     

本征态的局域化与增益介质中局域态的放大

用时域有限差分方法(FDTD)模拟了二维增益、非增益随机介质中的光学现象。在非增益介质中，观察到了局域态空间分布及其频率特征。在增益介质中，观察到局域态的放大过程。模拟结果显示非增益介质中的局域态相当于传统激光腔的腔模，随机激光是由局域态谐振产生的。     

Extraction efficiency and thermal lensing in Tm: YAG lasers

We model and compare with experiment the threshold, extraction efficiency and temperature effects in Tm:YAG lasers. In particular, we are concerned with high pump powers where lasing can cease abruptly. We simulate the pump depletion equation with the forward and reverse lasing equations combined with the CW rate equations which include cross-relaxation. The resonator is single-pass, end-pumped Fabry-Perot. Consequently, the equations must be solved numerically with a shooter. Our simulation of these equations gives the z-dependence of the intensities, of the populations and of the heat source. Heating is created by nonradiative decay from the two upper manifolds and by the cross-relaxation energy deficit. This leads to thermal lensing as a function of incident pump power which causes lasing shut-off as the resonator becomes unstable. Our simulations for the slope efficiency, threshold and laser shut-off agree with experiment. Additionally, we show that for pump powers in the range of 15–20 W the core temperature rise is about 40 K and the thermal focal length is in the range 5–6 cm.     

A method to control the polarization of random terahertz lasing in two-dimensional disordered ruby medium

Terahertz (THz) random lasing is studied numerically for two-dimensional disordered media made of ruby grains with a three-level atomic system. A method via the adjustment of the pumping area to control the polarization of the THz wave is proposed. Computed results reveal that transverse electric THz lasing modes could occur if pumping is supplied on the whole medium, while transverse magnetic THz lasing modes could occur if pumping is appropriately supplied on a partial area of the medium.     

Effect of Pump Area on Lasing Modes in Active Random Media

We investigate the effect of pump area on lasing modes in an active random medium. Considering the structure characteristics in a real experimental system, the random medium is divided into two regions, i.e. pump and non-pump areas. The dependence of lasing modes on the pump area is qualitatively explained by means of the model in which the lasing is ascribed to the interaction of the complex localized modes in the active random medium with local aperiodic quasi-structure with appropriate pump light. There exist different pump sizes for lasing with different modes. As the pump size decreases in this random system, the pump threshold of the lasing modes increases. There are different lasing modes in different excitation regions in this random system. This gives us some information about the dependence of lasing modes on pump areas in active random media.