Analytical modelling of end thermal coupling in a solid-state laser longitudinally bonded by a vertical-cavity top-emitting laser diode

The intrinsic features involving a circularly symmetric beam profile with low divergence, planar geometry as well as the increasingly enhanced power of vertical-cavity surface-emitting lasers (VCSELs) have made the VCSEL a promising pump source in direct end bonding to a solid-state laser medium to form the minimized, on-wafer integrated laser system. This scheme will generate a surface contact pump configuration and thus additional end thermal coupling to the laser medium through the joint interface of both materials, apart from pump beam heating. This paper analytically models temperature distributions in both VCSEL and the laser medium from the end thermal coupling regarding surface contact pump configuration using a top-emitting VCSEL as the pump source for the first time. The analytical solutions are derived by introducing relative temperature and mean temperature expressions. The results show that the end contact heating by the VCSEL could lead to considerable temperature variations associated with thermal phase shift and thermal lensing in the laser medium. However, if the central temperature of the interface is increased by less than 20~K, the end contact heating does not have a significant thermal influence on the laser medium. In this case, the thermal effect should be dominated by pump beam heating. This work provides useful analytical results for further analysis of hybrid thermal effects on those lasers pumped by a direct VCSEL bond.     

封闭管道中热耦合效应对激光传输的影响

建立了封闭竖直管道热耦合效应物理模型,采用流固耦合方法,数值模拟了封闭管道中介质气体、光学玻璃之间的热相互作用造成流场分布的变化,研究了热耦合作用对近场波前相差和远场光束质量的影响。数值模拟结果表明,光束质量可以由封闭管道内介质气体温度分布来决定,气体在管道内流动改变温度分布,使得相差分布不断变化,造成远场光束质量的振荡起伏;光学镜与介质气体热相互作用对流场分布有较大影响,尤其是竖直管道底部的光学镜对激光束远场光束质量影响明显。热耦合效应放大了光束质量的变化：当介质模型中光束质量变差,热耦合模型中热耦合效应使光束质量变得更差;当介质模型中光束质量变好,耦合模型中的热耦合作用使光束质量变得更好,即光束质量随着流场分布的变化而振荡。     

封闭管道中热耦合效应对激光传输的影响

建立了封闭竖直管道热耦合效应物理模型,采用流固耦合方法,数值模拟了封闭管道中介质气体、光学玻璃之间的热相互作用造成流场分布的变化,研究了热耦合作用对近场波前相差和远场光束质量的影响。数值模拟结果表明,光束质量可以由封闭管道内介质气体温度分布来决定,气体在管道内流动改变温度分布,使得相差分布不断变化,造成远场光束质量的振荡起伏;光学镜与介质气体热相互作用对流场分布有较大影响,尤其是竖直管道底部的光学镜对激光束远场光束质量影响明显。热耦合效应放大了光束质量的变化:当介质模型中光束质量变差,热耦合模型中热耦合效应使光束质量变得更差;当介质模型中光束质量变好,耦合模型中的热耦合作用使光束质量变得更好,即光束质量随着流场分布的变化而振荡。     

Analysis of laser induced thermal mechanical relationship of HfO_2/SiO_2 high reflective optical thin film at 1064 nm

A numerical model is developed for the calculation of transient temperature field of thin film coating induced by a long-pulsed high power laser beam. The electric field intensity distribution of HfO2/Si02 high reflective （HR） film is investigated to calculate the thermal field of the film. The thermal-mechanical relationships are discussed to predict the laser damage area of optical thin film under long pulse high energy laser irradiation.     

Thermal analysis of magneto-optical thin films under laser irradiation

A two-dimensional finite-difference method was applied to study the thermal behavior of thin films irradiated by a pulsed Gaussian laser beam. In particular, the method was applied to rare-earth/transition-metal alloyed films for magneto-optic recording. The effects of film parameters (thermal conductivity, specific heat, absorption coefficient, and film thickness) and laser parameters (output power and pulse duration) on healing and cooling behavior were investigated extensively. The temperature profile of a film was sensitively dependent on these parameters. The results might be used to predict the recorded bit size and to optimize the laser parameters. For a given energy density of the laser beam, a large output power with a short pulse width was desirable for effective heating of a film. Heating by radial thermal diffusion became important with increasing thermal conductivity of a film. Therefore, to achieve high storage density, a film must have low thermal conductivity.     

薄片激光器热效应及其对输出功率的影响

建立了光强分布为高斯型的抽运光端面单程抽运时薄片激光器的温度模型, 实验测量了不同抽运功率下薄片介质表面的 温度分布、温度随时间的变化特性以及介质表面的温度差. 采用Hartmann法测量了薄片介质的热焦距. 考虑热焦距随抽运功率的变化, 基于四能级系统薄片激光器的速率方程组, 建立了薄片激光器热效应对输出功率影响的物理模型, 薄片激光器输入-输出功率曲线与实际相符. 所得结果对薄片激光器的设计和优化具有一定的指导意义.     

The analysis of the transient temperature distribution of double-slab Nd:YAG laser medium

A novel double-slab Nd:YAG laser, which uses face-pumped slab medium cooled by liquid with different temperatures on both sides, is proposed. The thermal distortion of wavefront caused by the non-uniform temperature distribution in the laser gain media can be self-compensated. According to the method of operation, the models of the temperature distribution and stress are presented, and the analytic solutions for the model are derived. Furthermore, the numerical simulations with pulse pumping energy of 10 J and repetition frequencies of 500 and 1000 Hz are calculated respectively for Nd:YAG laser medium. The simulation results show that the temperature gradient remains the approximative linearity, and the heat stress is within the extreme range. Then the absorption coefficient is also discussed. The result indicates that the doping concentration cannot be too large for the high repetition frequency laser. It has been proved that the high repetition frequency, high laser beam quality, and high average output power of the order of kilowatt of Nd: YAG slab laser can be achieved in this structure.     

Diffraction patterns of laser beams with thermal self-phase modulation by optically thin films

Summary A mathematical model of the far-field diffraction pattern of a laser beam with laser heating self-phase modulation through an optically thin film is presented. We deal with the steady-state temperature field generated by the weak absorption of a laser beam in an optically and thermally thin film bounded by two transparent plates, the cell walls, whose thermal exchange to the surrounding ambient has been assumed to be linear in the temperature difference to the ambient. These hypotheses describe the application of the steady-state ?thermal lens? spectroscopy to the detection of the optical or thermal properties of liquid samples. We give a very simple expression for the diffracted intensity that appears suitable for fast computer calculations. The good accuracy of the technique is shown by comparison with the results given by more intricate approaches. To speed up publication, the authors of this paper have agreed to not receive the proofs for correction.     

Efficient design considerations for end-pumped solid-state-lasers

The temperature distribution in the gain medium and key design parameters for an ideal-four level end-pumped solid-state laser have been analyzed depending on the crystal's length, absorption coefficient, and pump beam M² factor. The optimum key design parameters and thermal focal lens are obtained by minimizing the root mean square of pump beam radius in the laser crystal. It is found that the focal thermal lens and key design parameters are dependent on the gain medium characteristics and pump beam properties as well. By considering the Poisson equation in cylindrical coordinate and Top-Hat pumping profile, an analytical formula has been derived to introduce the thermal focal length in the end-pumped lasers. A formula is also presented to relate the requirements of pump source to the gain medium properties for working laser at the design point.     

斜抽运无机液体激光器的流场热分布

激光二极管斜抽运的多增益段串接的液体激光器能够明显地提高激光光束质量、获得较高的输出功率.针对斜抽运子增益段工作时所涉及的流动、传热和壁面耦合,建立了计算子增益段流场热分布的流-热-固耦合模型,应用有限单元法完成了其瞬态流场热分布的数值模拟.该方法排除了不精确的换热系数对计算结果的影响,使得换热系数不再是计算的先决条件,而只是计算结果之一,并且为评价流道形状、流速、吸收系数等因素对流场热的影响,以及进一步改进和控制液体激光介质的流场热分布,提供了可靠的分析方法.数值模拟研究表明:换热系数是空间位置的函数,     

Thermal conductivity of e-beam coatings

We present the results of the study on the thermal conductivity of different thin film materials produced by conventional thermal evaporation. The main features of the thermal pulse method employed for the measurement of the thermal conductivity are described. Thermal conductivity can be measured by determining the traveling time of a thermal wave propagating trough the film. A pump laser beam is directed onto a sample consisting of a thin transparent test layer and a totally absorbing substrate for the laser wavelength. As a consequence of the laser pulse, a temperature profile builds up at the substrate-film interface. A thermal pulse starts to diffuse from the substrate-film interface to the surface of the layer. Therefore, the temperature rise at the surface of the test layer starts with a time delay with respect to the laser pulse. The time delay depends on the propagation time of the thermal wave through the layer and is related to the thermal conductivity and the thickness of the layer. Measurements are evaluated by calculations based on the finite difference method. The results show that the analyzed thin films have lower thermal conductivity than the corresponding materials in bulk form.     

Fractional Order Theory in a Semiconductor Medium Photogenerated by a Focused Laser Beam

In this paper, the fractional order theory has been applied for thermal, elastic and plasma waves to determine the carrier density, displacement, temperature and stress in a semiconductor medium. The thermal, elastic and plasma waves in a semi-infinite medium photogenerated by a focused laser beam were analyzed. The Laplace transformation is used to express the governing equation and solved analytically by applying eigenvalue approach methodology in that domain. A semiconducting material like as silicon was considered. According to the numerical results and graphics, the fractional order parameter and thermal relaxation time may play an important role in the behavior of all physical quantities.     

波面热畸变自校正型板条增益介质的瞬态温度分布

提出一种新的激光增益介质板条抽运结构,这种结构能对由激光增益介质板条温度分布不均所造成的波面热畸变实现自校正,并建立了这种抽运结构下激光增益介质板条的瞬态温度分布理论模型,通过解热传导方程,推导出板条增益介质的瞬态温度分布的解析表达式。同时对抽运参量分别为抽运脉冲能量为5.8×104J、抽运重复频率为2Hz和抽运脉冲能量为3.2×104J、重复频率为10Hz两种情况下两种下N-31型钕玻璃板条的瞬态温度分布分别进行了数值计算,分别给出两种情况下10s内和60s时钕玻璃板条的温度分布图并对结果进行了分析和对比,表明采用这种抽运结构的增益介质板条激光器可以以类似热容激光器的方式在短时间内实现高平均功率、高光束质量运转。     

A time-dependent,ray-geometrical treatment of the interference fringes within a thermally self-defocused laser beam

A time-dependent theoretical treatment of the intensity distribution within a thermally self-defocused laser beam is presented, based on a ray-geometrical approach. Well-modulated interference fringes are predicted extending over most of the beam. This treatment is applicable to beam propagation in media for which the heat transfer by convection can be neglected when compared with that due to conduction. Numerically determined intensity distributions are given and compared with ones obtained experimentally using a laser beam of 488 nm wavelength and an absorbing medium of glycerol doped with iodine. Good agreement is obtained.     

激光二极管抽运固体激光器场分布的热不稳定性研究

通过建立激光介质非热平衡状态的振荡散热模型，分析了激光二极管抽运固体激光器中，热透镜的不稳定性.研究表明，热透镜的这种热不稳定性是造成激光场不稳定的重要因素.会造成高斯半径的不稳定波动，会使激光光束的指向角波动，会造成激光光斑的非对称畸变，这种畸变也处于波动之中.通过对端面抽运条件下，热耗为1W的Nd:YAG激光介质的理论和实验研究，确定了这种原因下光场不稳定度的数量级. 关键词： 激光二极管 固体激光器 热透镜     

Kerr非线性介质中聚焦像散高斯光束的传输特性

当高功率激光通过Kerr非线性介质传输时,Kerr效应会严重影响激光的传输特性.实际应用中常遇到像散光束.迄今为止,像散光束传输特性的研究大都局限于在线性介质中的传输,而在非线性介质中传输的研究较少,且还未涉及像散激光束通过含光学系统的Kerr非线性介质传输变换的研究.本文主要研究Kerr效应对聚焦光束像散特性和焦移特性的影响,以及聚焦像散高斯光束的自聚焦焦距和光束焦点调控.在光束扩展情况下,推导出了聚焦像散高斯光束在Kerr非线性介质中传输的束宽、束腰位置和焦移的解析公式,研究表明:在自聚焦介质中,随着自聚焦作用增强(如光束功率增强),光束像散越强,但焦移越小;在自散焦介质中,随着自散焦作用增强(如光束功率增强),光束像散越弱,但焦移越大.另一方面,在光束自聚焦情况下,推导出了自聚焦焦距的解析公式,研究表明利用光束像散可以调控光束焦点个数.     

Light and thermal fields in multilayer skin tissue exposed to laser irradiation

A simple model for calculating the light fields created by a laser beam in a multilayer biological tissue is proposed. On the basis of this model, the coefficient of diffuse reflection of skin and the penetration depth of light are found for the wavelength range 400–850 nm and for a wide range of variation in the structural and optical characteristics of the medium. The effect of localized light absorption by blood vessels is taken into account. The results obtained are shown to agree reasonably with published theoretical and experimental data. Using the found depth distributions of the absorbed energy as source functions for the thermal problem, the analytical solution for the spatiotemporal structure of the temperature field in the cutaneous covering irradiated by a laser beam was obtained. The thermal fields determined in terms of single-and two-layer models are compared, and the corresponding differences are discussed. Examples of the temperature depth profiles obtained at different instants after the beginning of irradiation are presented. The results obtained in terms of the analytical method proposed are demonstrated to agree satisfactorily with those yielded by the numerical finite difference scheme of the solution of the system of heat conduction equations.     

Temperature measurement during laser heating of thin films using a temperature-sensitive phosphor

A phosphor with temperature-dependent lifetime has been used to measure the temperature distribution produced by laser heating of a thin film surface. A gold thin film deposited on a quartz substrate is coated with 40 m film of the phosphor material. A cw argon ion laser (476 nm) beam is split into two beams, with the more intense beam focused to 15 m (1/e² radius) to heat the film through the quartz substrate. The weaker probe beam is chopped and focused tightly using a microscope objective to excite the phosphor from the other side. The spatial variation in lifetime, and hence the temperature distribution, is obtained by scanning the probe beam over the heated region. The temperature distribution measured for different film thickness's is compared with calculations using a finite element model. The calculated temperatures at the gold surface near the laser beam are higher than the experimentally measured values, and agree only when the heat-sinking effect of the phosphor material is taken into account. The results suggest that a phosphor layer thinner than a micron will be required (for 15 m laser spot size) so as not to perturb the temperature of the gold layer.     

Thermal dynamics-based mechanism for intense laser-induced material surface vaporization

Laser material processing involving welding, ablation and cutting involves interaction of intense laser pulses of nanosecond duration with a condensed phase. Such interaction involving high brightness radiative flux causes multitude of non-linear events involving thermal phase transition at soild-liquid-gas interfaces. A theoretical perspective involving thermal dynamics of the vaporization process and consequent non-linear multiple thermal phase transitions under the action of laser plasma is the subject matter of the present work. The computational calculations were carried out where titanium (Ti) was treated as a condensed medium. The solution to the partial differential equations governing the thermal dynamics and the underlying phase transition event in the multiphase system is based on non-stationary Eulerian variables. The Mach number M depicts significant fluctuations due to thermal instabilities associated with the laser beam flux and intensity. A conclusive amalgamation has been established which relates material surface temperature profile to laser intensity, laser flux and the pressure in the plasma cloud.